1 Environment and datasets

1.1 Setup environment

library(NNbenchmark)
library(kableExtra)
library(dplyr)   # for ranking section
library(stringr) # for ranking section
options(scipen = 999)
odir <- "D:/GSoC2020/Results/2020run01/"

1.2 Datasets to test

NNdataSummary(NNdatasets)
##      Dataset n_rows n_inputs n_neurons n_parameters
## 1     mDette    500        3         5           26
## 2  mFriedman    500        5         5           36
## 3  mIshigami    500        3        10           51
## 4    mRef153    153        5         3           22
## 5     uDmod1     51        1         6           19
## 6     uDmod2     51        1         5           16
## 7  uDreyfus1     51        1         3           10
## 8  uDreyfus2     51        1         3           10
## 9    uGauss1    250        1         5           16
## 10   uGauss2    250        1         4           13
## 11   uGauss3    250        1         4           13
## 12 uNeuroOne     51        1         2            7

2 Dedicated functions by packages

2.1 brnn Train/predict Function - arguments x,y

#library(brnn)
brnn.method <- "gaussNewton"
hyperParams.brnn <- function(optim_method, ...) {
    
    if (!is.element(optim_method, c("gaussNewton"))) stop("Invalid Parameters.")
    iter   <- 200
    
    params <- paste0("method=", optim_method, "_iter=", iter)
    
    out <- list(iter = iter, params = params)
    
    return (out)
}
NNtrain.brnn <- function(x, y, dataxy, formula, neur, optim_method, hyperParams,...) {
    
    hyper_params <- do.call(hyperParams.brnn, list(brnn.method))
    
    iter <- hyper_params$iter
    
    NNreg <- brnn::brnn(x, y, neur, normalize = FALSE, epochs = iter, verbose = FALSE)
    
    return (NNreg)
}
NNpredict.brnn <- function(object, x, ...)
    predict(object, x)
NNclose.brnn <- function()
  if("package:brnn" %in% search())
    detach("package:brnn", unload=TRUE)
brnn.prepareZZ <- list(xdmv = "m", ydmv = "v", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, brnn.method, "NNtrain.brnn", "hyperParams.brnn", "NNpredict.brnn", 
                               NNsummary, "NNclose.brnn", NA, brnn.prepareZZ, nrep=5, echo=TRUE, doplot=FALSE,
                               pkgname="brnn", pkgfun="brnn", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.2 CaDENCE Train/predict Function - arguments x,y

#library(CaDENCE)
CaDENCE.method <- c("optim", "psoptim", "Rprop")
hyperParams.CaDENCE <- function(optim_method, ...) {
  
    if (optim_method == "optim")    {iter <- 200} 
    if (optim_method == "psoptim")  {iter <- 1000}
    if (optim_method == "Rprop")    {iter <- 1000}
  
    params <- paste0("method=", optim_method, "_iter=", iter)
    
    out <- list(iter = iter, method = optim_method, params = params, maxit.Nelder=1)
    return (out)
}

NNtrain.CaDENCE <- function(x, y, dataxy, formula, neur, optim_method, hyperParams,...) {
    
    hyper_params <- do.call(hyperParams, list(optim_method, ...))
    
    iter <- hyper_params$iter
    method <- hyper_params$method

    NNreg <- CaDENCE::cadence.fit(x = x, y = y, 
                                iter.max = iter, 
                                n.hidden = neur, 
                                hidden.fcn = tanh, 
                                method = method, 
                                n.trials = 1, 
                                trace = 0, 
                                maxit.Nelder = 1, 
                                f.cost = cadence.cost,
                                distribution = list(density.fcn = dnorm,
                                                    parameters = c("mean", "sd"),
                                                    parameters.fixed = NULL,
                                                    output.fcns = c(identity, exp)))
    return (NNreg)
}
NNpredict.CaDENCE <- function(object, x, ...)
    CaDENCE::cadence.predict(x = x, fit = object)[,1]
NNclose.CaDENCE <- function()
  if("package:CaDENCE" %in% search())
    detach("package:CaDENCE", unload=TRUE)
CaDENCE.prepareZZ <- list(xdmv = "m", ydmv = "m", zdm = "d", scale = TRUE)

if(FALSE)
res <- trainPredict_1data(1, CaDENCE.method, "NNtrain.CaDENCE", "hyperParams.CaDENCE", "NNpredict.CaDENCE", 
                               NNsummary, "NNclose.CaDENCE", NA, CaDENCE.prepareZZ, nrep=2, echo=TRUE, doplot=FALSE,
                               pkgname="CaDENCE", pkgfun="cadence.fit", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.3 MachineShop Train/predict Functions - arguments formula,data

#library(MachineShop)
MachineShop.method <- "none"
hyperParams.MachineShop <- function(...) {
    return (list(iter=200, trace=FALSE, linout=TRUE))
}
NNtrain.MachineShop <- function(x, y, dataxy, formula, neur, method, hyperParams, ...) {
    
    hyper_params <- do.call(hyperParams, list(...))
    trace <- hyper_params$trace
    maxit <- hyper_params$iter
    linout <- hyper_params$linout #linearoutpputunit
    myNN <- MachineShop::NNetModel(size = neur, linout = linout, maxit = maxit,
                                   trace=trace)
    MachineShop::fit(formula, data = dataxy, model = myNN)
    
}
NNpredict.MachineShop <- function(object, x, ...)
    as.numeric(predict(object, newdata=x, type="response"))
NNclose.MachineShop <- function()
  if("package:MachineShop" %in% search())
    detach("package:MachineShop", unload=TRUE)
MachineShop.prepareZZ <- list(xdmv = "m", ydmv = "m", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, MachineShop.method, "NNtrain.MachineShop", "hyperParams.MachineShop", "NNpredict.MachineShop", 
                               NNsummary, "NNclose.MachineShop", NA, MachineShop.prepareZZ, nrep=5,
                               echo=TRUE, doplot=FALSE, echoreport=0,
                               pkgname="MachineShop", pkgfun="fit", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.4 minpack.lm train/predict functions - arguments formula,data

#library(minpack.lm)
minpack.lm.method <- "none"
hyperParams.minpack.lm <- function(...) {
    return (list(iter=200, sdnormstart=0.1))
}
NNtrain.minpack.lm <- function(x, y, dataxy, formula, neur, method, hyperParams, NNfullformula, NNparam, ...) {
    
    hyper_params <- do.call(hyperParams, list(...))
    
    start <- round(rnorm(NNparam, sd = hyper_params$sdnormstart), 4)
    names(start)  <- paste0("b", 1:NNparam)
    minpack.lm::nlsLM(NNfullformula, data = dataxy, start=start,
                      control = list(maxiter = hyper_params$iter))
}
NNpredict.minpack.lm <- function(object, x, ...)
  predict(object, newdata=as.data.frame(x))
NNclose.minpack.lm <- function()
  if("package:minpack.lm" %in% search())
    detach("package:minpack.lm", unload=TRUE)
minpack.lm.prepareZZ <- list(xdmv = "m", ydmv = "v", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, minpack.lm.method, "NNtrain.minpack.lm", "hyperParams.minpack.lm", "NNpredict.minpack.lm", 
                               NNsummary, "NNclose.minpack.lm", NA, minpack.lm.prepareZZ, nrep=5,
                               echo=TRUE, doplot=FALSE, echoreport=0,
                               pkgname="minpack.lm", pkgfun="nlsLM", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.5 monmlp train/predict functions - arguments x,y

#library(monmlp)
monmlp.method <- c("BFGS", "Nelder-Mead")
hyperParams.monmlp <- function(...) {
    return (list(iter=200, silent=TRUE, scale=TRUE))
}
NNtrain.monmlp <- function(x, y, dataxy, formula, neur, method, hyperParams, ...) {
    
    hyper_params <- do.call(hyperParams, list(...))
    
    monmlp::monmlp.fit(x, y, hidden1 = neur, scale.y = hyper_params$scale, silent=hyper_params$silent,
                         method = method, iter.max = hyper_params$iter)
}
NNpredict.monmlp <- function(object, x, ...)
  as.numeric(monmlp::monmlp.predict(x, weights=object))
NNclose.monmlp <- function()
  if("package:monmlp" %in% search())
    detach("package:monmlp", unload=TRUE)
monmlp.prepareZZ <- list(xdmv = "m", ydmv = "m", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, monmlp.method, "NNtrain.monmlp", "hyperParams.monmlp", "NNpredict.monmlp", 
                               NNsummary, "NNclose.monmlp", NA, monmlp.prepareZZ, nrep=2,
                               echo=TRUE, doplot=FALSE, echoreport=0,
                               pkgname="monmlp", pkgfun="monmlp.fit", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.6 nlsr train/predict functions - arguments formula,data

#library(nlsr)
nlsr.method <- "none"
hyperParams.nlsr <- function(...) {
    return (list(iter=200, sdnormstart=0.1))
}
NNtrain.nlsr <- function(x, y, dataxy, formula, neur, method, hyperParams, NNfullformula, NNparam, ...) {
    
    hyper_params <- do.call(hyperParams, list(...))
    
    start <- round(rnorm(NNparam, sd = hyper_params$sdnormstart), 4)
    names(start)  <- paste0("b", 1:NNparam)
    
    nlsr::nlxb(NNfullformula, start = start, data = dataxy,
                                control = list(femax = hyper_params$iter))
}
NNpredict.nlsr <- function(object, x, ...)
  as.numeric(predict(object, x))
NNclose.nlsr <- function()
  if("package:nlsr" %in% search())
    detach("package:nlsr", unload=TRUE)
nlsr.prepareZZ <- list(xdmv = "d", ydmv = "v", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, nlsr.method, "NNtrain.nlsr", "hyperParams.nlsr", "NNpredict.nlsr", 
                               NNsummary, "NNclose.nlsr", NA, nlsr.prepareZZ, nrep=5,
                               echo=TRUE, doplot=FALSE, echoreport=0,
                               pkgname="nlsr", pkgfun="nlxb", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.7 nnet Train/predict Functions - arguments x,y

#library(nnet)
nnet.method <- "none"
hyperParams.nnet <- function(...) {
    return (list(iter=200, trace=FALSE))
}
NNtrain.nnet <- function(x, y, dataxy, formula, neur, method, hyperParams, ...) {
    
    hyper_params <- do.call(hyperParams, list(...))
    
    nnet::nnet(x, y, size = neur, linout = TRUE, maxit = hyper_params$iter, trace=hyper_params$trace)
}
NNpredict.nnet <- function(object, x, ...)
    predict(object, newdata=x)
NNclose.nnet <- function()
  if("package:nnet" %in% search())
    detach("package:nnet", unload=TRUE)
nnet.prepareZZ <- list(xdmv = "d", ydmv = "v", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, nnet.method, "NNtrain.nnet", "hyperParams.nnet", "NNpredict.nnet", 
                               NNsummary, "NNclose.nnet", NA, nnet.prepareZZ, nrep=5, echo=TRUE, doplot=FALSE,
                               pkgname="nnet", pkgfun="nnet", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.8 qrnn Train/predict Function - arguments x,y

#library(qrnn)
qrnn.method <- "none"
hyperParams.qrnn <- function(optim_method, ...) {
    
    maxiter <- 200
    init.range = c(-0.1, 0.1, -0.1, 0.1)
    params <- paste0("method=", optim_method, "_iter=", maxiter)
  
    out <- list(iter = maxiter, params = params, init.range=init.range)
    return (out)
}
NNtrain.qrnn <- function(x, y, dataxy, formula, neur, optim_method, hyperParams,...) {
    
    hyper_params <- do.call(hyperParams, list(optim_method, ...))
    
    NNreg <- qrnn::qrnn.fit(x, y, n.hidden = neur, 
                     iter.max = hyper_params$iter, n.trials = 1,
                     init.range = hyper_params$init.range, trace=FALSE)
    
    return (NNreg)
}
NNpredict.qrnn <- function(object, x, ...)
  qrnn::qrnn.predict(x, object)
NNclose.qrnn <- function()
  if("package:qrnn" %in% search())
    detach("package:qrnn", unload=TRUE)
qrnn.prepareZZ <- list(xdmv = "m", ydmv = "m", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, qrnn.method, "NNtrain.qrnn", "hyperParams.qrnn", "NNpredict.qrnn", 
                               NNsummary, "NNclose.qrnn", NA, qrnn.prepareZZ, nrep=5, echo=TRUE, doplot=FALSE,
                               pkgname="qrnn", pkgfun="qrnn.fit", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.9 radiant.model Train/predict Functions - arguments xy,y

#library(radiant.model)
radiant.model.method <- "none"
hyperParams.radiant.model <- function(...) {
    return (list(type="regression", decay=0))
}
NNtrain.radiant.model <- function(x, y, dataxy, formula, neur, method, hyperParams, ...) {
    
    hyper_params <- do.call(hyperParams, list(...))
    
    radiant.model::nn(dataxy, rvar = "y", evar = attr(terms(formula), "term.labels"),
                      type = hyper_params$type, size = neur, 
                      decay = hyper_params$decay)
    
}
NNpredict.radiant.model <- function(object, x, ...)
   predict(object, pred_data=as.data.frame(x))$Prediction
NNclose.radiant.model <- function()
  if("package:radiant.model" %in% search())
    detach("package:radiant.model", unload=TRUE)
radiant.model.prepareZZ <- list(xdmv = "m", ydmv = "m", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, radiant.model.method, "NNtrain.radiant.model", "hyperParams.radiant.model", "NNpredict.radiant.model", 
                               NNsummary, "NNclose.radiant.model", NA, radiant.model.prepareZZ, nrep=5,
                               echo=TRUE, doplot=FALSE, echoreport=0,
                               pkgname="radiant.model", pkgfun="nn", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.10 rminer Train/predict Functions - arguments formula,data

#library(rminer)
rminer.method <- "none"
hyperParams.rminer <- function(...) {
    return (list(task="reg", iter=200))
}
NNtrain.rminer <- function(x, y, dataxy, formula, neur, method, hyperParams, ...) {
    
    hyper_params <- do.call(hyperParams, list(...))
    
    rminer::fit(formula, data = dataxy, model = "mlp", task = hyper_params$task, 
                                        size = neur, maxit = hyper_params$iter)
}
NNpredict.rminer <- function(object, x, ...)
   as.numeric(rminer::predict(object, newdata=as.data.frame(x)))
NNclose.rminer <- function()
  if("package:rminer" %in% search())
    detach("package:rminer", unload=TRUE)
rminer.prepareZZ <- list(xdmv = "m", ydmv = "m", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, rminer.method, "NNtrain.rminer", "hyperParams.rminer", "NNpredict.rminer", 
                               NNsummary, "NNclose.rminer", NA, rminer.prepareZZ, nrep=2,
                               echo=TRUE, doplot=FALSE, echoreport=0,
                               pkgname="rminer", pkgfun="fit", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.11 RSNNS Train/predict Function - arguments x,y

#library(RSNNS)
RSNNS.method <- c("Rprop","BackpropBatch","BackpropChunk","BackpropMomentum",
                  "BackpropWeightDecay","Quickprop","SCG","Std_Backpropagation")
hyperParams.RSNNS <- function(optim_method, ...) {
    
    if(optim_method %in% c("Rprop","BackpropChunk","BackpropMomentum","BackpropWeightDecay","SCG","Std_Backpropagation"))
      maxiter <- 1000
    else
      maxiter <- 10000
    
    params <- paste0("method=", optim_method, "_iter=", maxiter)
  
    out <- list(iter = maxiter, sdnormstart=0.1)
    return (out)
}
NNtrain.RSNNS <- function(x, y, dataxy, formula, neur, optim_method, hyperParams, NNfullformula, NNparam,...) {
    
    hyper_params <- do.call(hyperParams, list(optim_method, ...))
    
    start <- round(rnorm(NNparam, sd = hyper_params$sdnormstart), 4)
    names(start)  <- paste0("b", 1:NNparam)
    
    NNreg <- RSNNS::mlp(x, y, initFuncParams = start,
                 size = neur, learnFunc = optim_method, 
                 maxit = hyper_params$iter, linOut = TRUE)
    
    return (NNreg)
}
NNpredict.RSNNS <- function(object, x, ...)
  predict(object, x)
NNclose.RSNNS <- function()
  if("package:RSNNS" %in% search())
    detach("package:RSNNS", unload=TRUE)
RSNNS.prepareZZ <- list(xdmv = "m", ydmv = "m", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, RSNNS.method, "NNtrain.RSNNS", "hyperParams.RSNNS", "NNpredict.RSNNS", 
                               NNsummary, "NNclose.RSNNS", NA, RSNNS.prepareZZ, nrep=5, echo=TRUE, doplot=FALSE,
                               pkgname="RSNNS", pkgfun="mlp", csvfile=TRUE, rdafile=TRUE, odir=odir)

2.12 validann Train/predict Function - arguments x,y

#library(validann)
validann.method <- c("Nelder-Mead", "BFGS", "CG", "L-BFGS-B", "SANN")
hyperParams.validann <- function(optim_method, ...) {
    
    if (optim_method == "Nelder-Mead")  {maxiter <- 10000} 
    if (optim_method == "BFGS")         {maxiter <- 200}
    if (optim_method == "CG")           {maxiter <- 1000}
    if (optim_method == "L-BFGS-B")     {maxiter <- 200}
    if (optim_method == "SANN")         {maxiter <- 10000}
    
    params <- paste0("method=", optim_method, "_iter=", maxiter)
  
    out <- list(iter = maxiter, method = optim_method, params)
    return (out)
}
NNtrain.validann <- function(x, y, dataxy, formula, neur, optim_method, hyperParams, NNfullformula, NNparam,...) {
    
    hyper_params <- do.call(hyperParams, list(optim_method, ...))
    
    iter <- hyper_params$iter
    method <- hyper_params$method
    
    NNreg <- validann::ann(x, y, size = neur, 
                           method = method, maxit = iter)
    
    return (NNreg)
}
NNpredict.validann <- function(object, x, ...)
  predict(object, x)
NNclose.validann <- function()
  if("package:validann" %in% search())
    detach("package:validann", unload=TRUE)
validann.prepareZZ <- list(xdmv = "m", ydmv = "m", zdm = "d", scale = TRUE)
if(FALSE)
res <- trainPredict_1data(1, validann.method, "NNtrain.validann", "hyperParams.validann", "NNpredict.validann", 
                               NNsummary, "NNclose.validann", NA, validann.prepareZZ, nrep=5, echo=TRUE, doplot=FALSE,
                               pkgname="validann", pkgfun="ann", csvfile=TRUE, rdafile=TRUE, odir=odir)

3 Launch all packages

methodlist <- list(brnn.method, 
                   CaDENCE.method[1], 
                   MachineShop.method, 
                   minpack.lm.method, 
                   monmlp.method[1],
                   nlsr.method, 
                   nnet.method, 
                   qrnn.method,
                   radiant.model.method,
                   rminer.method,
                   validann.method[c(2,4)])
pkgfunmat <- rbind(c("brnn", "brnn"),
                   c("CaDENCE", "cadence.fit"),
                   c("MachineShop", "fit"),
                   c("minpack.lm", "nlsLM"),
                   c("monmlp", "monmlp.fit"),
                   c("nlsr", "nlxb"),
                   c("nnet", "nnet"),
                   c("qrnn", "qrnn.fit"),
                   c("radiant.model", "nn"),
                   c("rminer", "fit"),
                   c("validann","ann"))
colnames(pkgfunmat) <- c("pkg", "fun")  
trainvect <- paste("NNtrain", pkgfunmat[,"pkg"], sep=".")
hypervect <- paste("hyperParams", pkgfunmat[,"pkg"], sep=".")
predvect <- paste("NNpredict", pkgfunmat[,"pkg"], sep=".")
#close function is only needed for h2o
closevect <- paste("NNclose", pkgfunmat[,"pkg"], sep=".")
startvect <- rep(NA, length(pkgfunmat[,"pkg"]))
startvect[pkgfunmat[,"pkg"] == "h2o"] <- "NNstart.h2o"
preparelist <- list(brnn.prepareZZ, 
                   CaDENCE.prepareZZ, 
                   MachineShop.prepareZZ, 
                   minpack.lm.prepareZZ, 
                   monmlp.prepareZZ,
                   nlsr.prepareZZ, 
                   nnet.prepareZZ, 
                   qrnn.prepareZZ,
                   radiant.model.prepareZZ,
                   rminer.prepareZZ,
                   validann.prepareZZ)
names(preparelist) <- pkgfunmat[,"pkg"]
#print(cbind(pkgfunmat, startvect))

resall <- lapply(1:12, function(i)
  trainPredict_1data(dset=i, method=methodlist, train=trainvect, hyper=hypervect,
                     pred=predvect, summary=NNsummary, close=closevect, 
                     start=startvect, prepare=preparelist, nrep=20, echo=TRUE, doplot=TRUE,
                     pkgname=pkgfunmat[,"pkg"], pkgfun=pkgfunmat[,"fun"], csvfile=TRUE, rdafile=TRUE, odir=odir))
## ________________________________________________________________________________ 
## ***   mDette_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 22.9527    alpha= 0.0024   beta= 15.4661 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 24.659     alpha= 0.0372   beta= 43.5237 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 22.9594    alpha= 0.0027   beta= 15.3467 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 21.6791    alpha= 0.0926   beta= 7.5765 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 22.9531    alpha= 0.0024   beta= 15.4707 
## brnn brnn gaussNewton i 5 summary statistics 1.4353 2.0601 1.2306 4.1934 time 0.24 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 24.4559    alpha= 0.0036   beta= 602.0185 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 12.6152    alpha= 0.1772   beta= 2.1215 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 22.9641    alpha= 0.0025   beta= 15.4233 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 21.4224    alpha= 0.086    beta= 7.6361 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 21.9962    alpha= 0.0595   beta= 8.2174 
## brnn brnn gaussNewton i 10 summary statistics 1.9714 3.8864 1.4556 12.0568 time 0.21 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 21.6098    alpha= 0.0897   beta= 7.5953 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 22.0144    alpha= 0.0549   beta= 8.356 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 24.4734    alpha= 0.0027   beta= 632.0584 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 24.6962    alpha= 0.0329   beta= 44.0271 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 22.9824    alpha= 0.0029   beta= 15.2506 
## brnn brnn gaussNewton i 15 summary statistics 1.4456 2.0897 1.2374 4.3071 time 0.22 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 24.484     alpha= 0.0243   beta= 145.3324 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 21.7584    alpha= 0.0618   beta= 8.1654 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 21.5612    alpha= 0.0866   beta= 7.6149 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 24.4636    alpha= 0.0036   beta= 600.7179 
## Number of parameters (weights and biases) to estimate: 25 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 21.5136    alpha= 0.0879   beta= 7.599 
## brnn brnn gaussNewton i 20 summary statistics 2.0511 4.2069 1.4612 12.5268 time 0.2

## 
## ________________________________________________________________________________ 
## ***   mDette_CaDENCE::cadence.fit_optim ***
## n.hidden = 5 --> 1 * NLL = -741.3285 ; penalty = 0; BIC = -1283.789 ; AICc = -1414.134 ; AIC = -1418.657
## n.hidden = 5 --> 1 * NLL = -486.8946 ; penalty = 0; BIC = -774.9216 ; AICc = -905.2666 ; AIC = -909.7891
## n.hidden = 5 --> 1 * NLL = -750.4774 ; penalty = 0; BIC = -1302.087 ; AICc = -1432.432 ; AIC = -1436.955
## n.hidden = 5 --> 1 * NLL = -820.129 ; penalty = 0; BIC = -1441.391 ; AICc = -1571.735 ; AIC = -1576.258
## n.hidden = 5 --> 1 * NLL = -761.5089 ; penalty = 0; BIC = -1324.15 ; AICc = -1454.495 ; AIC = -1459.018
## CaDENCE cadence.fit optim i 5 summary statistics 3.8464 14.7949 1.6238 21.6959 time 7.29 
## n.hidden = 5 --> 1 * NLL = -582.4775 ; penalty = 0; BIC = -966.0875 ; AICc = -1096.432 ; AIC = -1100.955
## n.hidden = 5 --> 1 * NLL = -819.1573 ; penalty = 0; BIC = -1439.447 ; AICc = -1569.792 ; AIC = -1574.315
## n.hidden = 5 --> 1 * NLL = -587.856 ; penalty = 0; BIC = -976.8446 ; AICc = -1107.19 ; AIC = -1111.712
## n.hidden = 5 --> 1 * NLL = -810.9247 ; penalty = 0; BIC = -1422.982 ; AICc = -1553.327 ; AIC = -1557.849
## n.hidden = 5 --> 1 * NLL = -997.8195 ; penalty = 0; BIC = -1796.771 ; AICc = -1927.116 ; AIC = -1931.639
## CaDENCE cadence.fit optim i 10 summary statistics 0.5256 0.2762 0.3168 3.1999 time 7.19 
## n.hidden = 5 --> 1 * NLL = -478.8517 ; penalty = 0; BIC = -758.836 ; AICc = -889.181 ; AIC = -893.7035
## n.hidden = 5 --> 1 * NLL = -746.8115 ; penalty = 0; BIC = -1294.756 ; AICc = -1425.101 ; AIC = -1429.623
## n.hidden = 5 --> 1 * NLL = -757.8577 ; penalty = 0; BIC = -1316.848 ; AICc = -1447.193 ; AIC = -1451.715
## n.hidden = 5 --> 1 * NLL = -1022.13 ; penalty = 0; BIC = -1845.392 ; AICc = -1975.737 ; AIC = -1980.259
## n.hidden = 5 --> 1 * NLL = -768.3174 ; penalty = 0; BIC = -1337.767 ; AICc = -1468.112 ; AIC = -1472.635
## CaDENCE cadence.fit optim i 15 summary statistics 2.7686 7.6649 1.1671 16.9759 time 7.22 
## n.hidden = 5 --> 1 * NLL = -689.9055 ; penalty = 0; BIC = -1180.944 ; AICc = -1311.289 ; AIC = -1315.811
## n.hidden = 5 --> 1 * NLL = -954.3794 ; penalty = 0; BIC = -1709.891 ; AICc = -1840.236 ; AIC = -1844.759
## n.hidden = 5 --> 1 * NLL = -898.4695 ; penalty = 0; BIC = -1598.071 ; AICc = -1728.416 ; AIC = -1732.939
## n.hidden = 5 --> 1 * NLL = -864.0685 ; penalty = 0; BIC = -1529.27 ; AICc = -1659.615 ; AIC = -1664.137
## n.hidden = 5 --> 1 * NLL = -988.9547 ; penalty = 0; BIC = -1779.042 ; AICc = -1909.387 ; AIC = -1913.909
## CaDENCE cadence.fit optim i 20 summary statistics 0.5341 0.2853 0.3201 3.1034 time 7.23

## 
## ________________________________________________________________________________ 
## ***   mDette_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 0.5037 0.2537 0.3773 1.9984 time 0.07 
## MachineShop fit none i 10 summary statistics 0.3194 0.102 0.2466 1.2523 time 0.1 
## MachineShop fit none i 15 summary statistics 0.6898 0.4759 0.5626 3.1425 time 0.08 
## MachineShop fit none i 20 summary statistics 0.3691 0.1362 0.2854 1.8224 time 0.07

## 
## ________________________________________________________________________________ 
## ***   mDette_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 0.1635 0.0267 0.1256 0.7672 time 0.22 
## minpack.lm nlsLM none i 10 summary statistics 0.199 0.0396 0.1608 0.6348 time 0.25 
## minpack.lm nlsLM none i 15 summary statistics 0.3526 0.1243 0.2714 1.3262 time 0.25 
## minpack.lm nlsLM none i 20 summary statistics 0.3523 0.1241 0.2713 1.3253 time 0.25

## 
## ________________________________________________________________________________ 
## ***   mDette_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 0.4585 0.2102 0.3535 2.0194 time 0.25 
## monmlp monmlp.fit BFGS i 10 summary statistics 0.7607 0.5786 0.5664 4.8692 time 0.25 
## monmlp monmlp.fit BFGS i 15 summary statistics 0.5912 0.3495 0.447 2.4778 time 0.25 
## monmlp monmlp.fit BFGS i 20 summary statistics 0.3853 0.1485 0.2835 1.684 time 0.24

## 
## ________________________________________________________________________________ 
## ***   mDette_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## nlsr nlxb none i 5 summary statistics 1.4488 2.099 1.2517 4.1423 time 0.42 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## nlsr nlxb none i 10 summary statistics 1.3497 1.8217 1.1755 3.4845 time 0.42 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## nlsr nlxb none i 15 summary statistics 0.439 0.1927 0.3398 2.5709 time 0.41 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26"
## no weights
## nlsr nlxb none i 20 summary statistics 1.487 2.2111 1.2738 4.6121 time 0.42

## 
## ________________________________________________________________________________ 
## ***   mDette_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 0.4667 0.2178 0.3464 2.0191 time 0.06 
## nnet nnet none i 10 summary statistics 0.6074 0.3689 0.482 3.5417 time 0.08 
## nnet nnet none i 15 summary statistics 0.751 0.564 0.6004 4.8829 time 0.08 
## nnet nnet none i 20 summary statistics 0.5408 0.2925 0.4224 2.3817 time 0.06

## 
## ________________________________________________________________________________ 
## ***   mDette_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 0.3331 0.111 0.2254 1.6869 time 0.83 
## qrnn qrnn.fit none i 10 summary statistics 2.2302 4.9738 1.0989 15.3555 time 0.27 
## qrnn qrnn.fit none i 15 summary statistics 2.4759 6.1302 1.1714 16.674 time 0.39 
## qrnn qrnn.fit none i 20 summary statistics 0.3479 0.1211 0.2302 1.6711 time 0.72

## 
## ________________________________________________________________________________ 
## ***   mDette_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 0.2941 0.0865 0.2275 1.2431 time 0.09 
## radiant.model nn none i 10 summary statistics 0.2847 0.081 0.2215 1.2342 time 0.09 
## radiant.model nn none i 15 summary statistics 0.3537 0.1251 0.2722 1.3258 time 0.09 
## radiant.model nn none i 20 summary statistics 0.3635 0.1321 0.2812 1.5104 time 0.11

## 
## ________________________________________________________________________________ 
## ***   mDette_rminer::fit_none ***
## rminer fit none i 5 summary statistics 0.2192 0.0481 0.1717 1.0605 time 0.26 
## rminer fit none i 10 summary statistics 0.4542 0.2063 0.3427 1.8491 time 0.24 
## rminer fit none i 15 summary statistics 0.4814 0.2318 0.3629 2.0559 time 0.25 
## rminer fit none i 20 summary statistics 0.6042 0.365 0.4944 3.1704 time 0.27

## 
## ________________________________________________________________________________ 
## ***   mDette_validann::ann_BFGS ***
## initial  value 586.848863 
## iter  20 value 154.828686
## iter  40 value 61.828500
## iter  60 value 42.108613
## iter  80 value 36.152415
## iter 100 value 31.958801
## iter 120 value 30.488794
## iter 140 value 6.881132
## iter 160 value 2.314412
## iter 180 value 2.265465
## iter 200 value 2.129791
## final  value 2.129791 
## stopped after 200 iterations
## initial  value 541.130973 
## iter  20 value 167.102934
## iter  40 value 45.740764
## iter  60 value 35.966980
## iter  80 value 19.841864
## iter 100 value 2.640803
## iter 120 value 1.522857
## iter 140 value 1.090718
## iter 160 value 0.815782
## iter 180 value 0.781932
## iter 200 value 0.608434
## final  value 0.608434 
## stopped after 200 iterations
## initial  value 678.483947 
## iter  20 value 101.843848
## iter  40 value 41.263917
## iter  60 value 34.786464
## iter  80 value 31.823000
## iter 100 value 26.071368
## iter 120 value 22.855798
## iter 140 value 20.955814
## iter 160 value 15.778356
## iter 180 value 12.551254
## iter 200 value 7.308888
## final  value 7.308888 
## stopped after 200 iterations
## initial  value 508.813999 
## iter  20 value 112.515957
## iter  40 value 42.101506
## iter  60 value 37.387069
## iter  80 value 28.386522
## iter 100 value 12.856229
## iter 120 value 9.903434
## iter 140 value 6.937385
## iter 160 value 6.199495
## iter 180 value 5.718872
## iter 200 value 4.358715
## final  value 4.358715 
## stopped after 200 iterations
## initial  value 565.887988 
## iter  20 value 92.824995
## iter  40 value 43.201856
## iter  60 value 38.648958
## iter  80 value 36.129498
## iter 100 value 32.848162
## iter 120 value 32.305937
## iter 140 value 26.660093
## iter 160 value 3.582768
## iter 180 value 2.686375
## iter 200 value 2.610324
## final  value 2.610324 
## stopped after 200 iterations
## validann ann BFGS i 5 summary statistics 0.5906 0.3488 0.4575 2.3016 time 1.72 
## initial  value 500.673212 
## iter  20 value 131.185987
## iter  40 value 45.432036
## iter  60 value 37.882154
## iter  80 value 34.296459
## iter 100 value 29.897307
## iter 120 value 28.819222
## iter 140 value 28.139561
## iter 160 value 27.442995
## iter 180 value 27.291929
## iter 200 value 27.036714
## final  value 27.036714 
## stopped after 200 iterations
## initial  value 508.533462 
## iter  20 value 183.121123
## iter  40 value 46.550097
## iter  60 value 40.390270
## iter  80 value 33.285182
## iter 100 value 4.851141
## iter 120 value 4.122055
## iter 140 value 2.773887
## iter 160 value 2.346666
## iter 180 value 2.198573
## iter 200 value 1.662721
## final  value 1.662721 
## stopped after 200 iterations
## initial  value 482.965560 
## iter  20 value 120.072317
## iter  40 value 20.831206
## iter  60 value 5.465474
## iter  80 value 2.303100
## iter 100 value 1.146966
## iter 120 value 1.030473
## iter 140 value 0.854019
## iter 160 value 0.694404
## iter 180 value 0.652186
## iter 200 value 0.582259
## final  value 0.582259 
## stopped after 200 iterations
## initial  value 625.976035 
## iter  20 value 131.734377
## iter  40 value 28.800623
## iter  60 value 23.890385
## iter  80 value 11.487167
## iter 100 value 1.683617
## iter 120 value 1.241098
## iter 140 value 0.899844
## iter 160 value 0.739846
## iter 180 value 0.706304
## iter 200 value 0.581686
## final  value 0.581686 
## stopped after 200 iterations
## initial  value 684.810375 
## iter  20 value 73.010908
## iter  40 value 40.399117
## iter  60 value 33.768457
## iter  80 value 31.739463
## iter 100 value 25.153262
## iter 120 value 23.519445
## iter 140 value 22.547320
## iter 160 value 20.388856
## iter 180 value 17.991067
## iter 200 value 10.861166
## final  value 10.861166 
## stopped after 200 iterations
## validann ann BFGS i 10 summary statistics 1.2047 1.4513 0.9615 5.2514 time 1.69 
## initial  value 547.901396 
## iter  20 value 194.304138
## iter  40 value 57.338656
## iter  60 value 45.346168
## iter  80 value 38.209786
## iter 100 value 32.420063
## iter 120 value 29.942889
## iter 140 value 28.517500
## iter 160 value 27.888655
## iter 180 value 27.774586
## iter 200 value 27.525736
## final  value 27.525736 
## stopped after 200 iterations
## initial  value 527.233597 
## iter  20 value 256.399464
## iter  40 value 65.376447
## iter  60 value 30.020851
## iter  80 value 6.979550
## iter 100 value 1.909895
## iter 120 value 1.766776
## iter 140 value 1.579791
## iter 160 value 1.492959
## iter 180 value 1.472835
## iter 200 value 1.349587
## final  value 1.349587 
## stopped after 200 iterations
## initial  value 729.687701 
## iter  20 value 229.240292
## iter  40 value 69.390761
## iter  60 value 47.414221
## iter  80 value 36.813730
## iter 100 value 31.519923
## iter 120 value 29.010938
## iter 140 value 24.103814
## iter 160 value 7.378191
## iter 180 value 3.562672
## iter 200 value 1.845014
## final  value 1.845014 
## stopped after 200 iterations
## initial  value 481.847244 
## iter  20 value 106.061534
## iter  40 value 27.692632
## iter  60 value 21.390435
## iter  80 value 11.186850
## iter 100 value 5.713287
## iter 120 value 4.779614
## iter 140 value 4.022842
## iter 160 value 3.407918
## iter 180 value 3.307776
## iter 200 value 3.023036
## final  value 3.023036 
## stopped after 200 iterations
## initial  value 575.998683 
## iter  20 value 155.337445
## iter  40 value 48.884449
## iter  60 value 13.303457
## iter  80 value 4.265997
## iter 100 value 2.564739
## iter 120 value 2.245247
## iter 140 value 1.786216
## iter 160 value 1.013189
## iter 180 value 0.811200
## iter 200 value 0.643566
## final  value 0.643566 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 0.2932 0.086 0.233 1.2439 time 1.68 
## initial  value 645.891898 
## iter  20 value 268.692771
## iter  40 value 66.044239
## iter  60 value 40.429751
## iter  80 value 35.734371
## iter 100 value 31.231980
## iter 120 value 30.410355
## iter 140 value 29.281323
## iter 160 value 28.147666
## iter 180 value 27.793170
## iter 200 value 27.037233
## final  value 27.037233 
## stopped after 200 iterations
## initial  value 484.930411 
## iter  20 value 134.588479
## iter  40 value 18.225944
## iter  60 value 7.874403
## iter  80 value 2.285083
## iter 100 value 1.082660
## iter 120 value 1.029167
## iter 140 value 0.970062
## iter 160 value 0.945433
## iter 180 value 0.943570
## iter 200 value 0.936946
## final  value 0.936946 
## stopped after 200 iterations
## initial  value 655.867291 
## iter  20 value 140.954697
## iter  40 value 47.925782
## iter  60 value 38.957566
## iter  80 value 36.561412
## iter 100 value 33.099047
## iter 120 value 32.394262
## iter 140 value 31.840517
## iter 160 value 28.175288
## iter 180 value 27.032785
## iter 200 value 24.968413
## final  value 24.968413 
## stopped after 200 iterations
## initial  value 567.513091 
## iter  20 value 202.802735
## iter  40 value 53.026239
## iter  60 value 33.425582
## iter  80 value 27.962695
## iter 100 value 17.936691
## iter 120 value 8.529452
## iter 140 value 7.050089
## iter 160 value 5.399096
## iter 180 value 4.634772
## iter 200 value 4.184234
## final  value 4.184234 
## stopped after 200 iterations
## initial  value 595.175459 
## iter  20 value 245.150226
## iter  40 value 51.192523
## iter  60 value 13.900130
## iter  80 value 3.306855
## iter 100 value 1.463393
## iter 120 value 1.277511
## iter 140 value 1.039860
## iter 160 value 0.963897
## iter 180 value 0.960557
## iter 200 value 0.942269
## final  value 0.942269 
## stopped after 200 iterations
## validann ann BFGS i 20 summary statistics 0.3548 0.1259 0.2728 1.3325 time 1.72

## 
## ________________________________________________________________________________ 
## ***   mDette_validann::ann_L-BFGS-B ***
## iter   20 value 68.591904
## iter   40 value 39.473652
## iter   60 value 36.670183
## iter   80 value 33.369457
## iter  100 value 32.697085
## iter  120 value 31.463162
## iter  140 value 30.530856
## iter  160 value 29.522925
## iter  180 value 26.938002
## iter  200 value 16.896935
## final  value 15.623465 
## stopped after 201 iterations
## iter   20 value 70.771612
## iter   40 value 33.590674
## iter   60 value 9.073756
## iter   80 value 2.431349
## iter  100 value 1.809192
## iter  120 value 1.515843
## iter  140 value 1.338776
## iter  160 value 1.245210
## iter  180 value 1.159453
## iter  200 value 1.114467
## final  value 1.113646 
## stopped after 201 iterations
## iter   20 value 52.632315
## iter   40 value 39.296340
## iter   60 value 37.434875
## iter   80 value 35.006168
## iter  100 value 32.424117
## iter  120 value 30.100164
## iter  140 value 29.122703
## iter  160 value 28.059483
## iter  180 value 27.622130
## iter  200 value 27.013283
## final  value 27.003880 
## stopped after 201 iterations
## iter   20 value 59.944645
## iter   40 value 39.286579
## iter   60 value 26.615943
## iter   80 value 7.399104
## iter  100 value 3.184058
## iter  120 value 2.326461
## iter  140 value 1.982822
## iter  160 value 1.787306
## iter  180 value 1.649851
## iter  200 value 1.532539
## final  value 1.526991 
## stopped after 201 iterations
## iter   20 value 313.801954
## iter   40 value 51.296298
## iter   60 value 13.701516
## iter   80 value 5.874022
## iter  100 value 5.052366
## iter  120 value 4.503229
## iter  140 value 3.872847
## iter  160 value 3.451878
## iter  180 value 3.347552
## iter  200 value 2.909208
## final  value 2.875096 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 0.6198 0.3842 0.4542 2.6792 time 1.79 
## iter   20 value 90.947176
## iter   40 value 40.490780
## iter   60 value 37.575585
## iter   80 value 34.859675
## iter  100 value 32.621546
## iter  120 value 31.535720
## iter  140 value 30.957483
## iter  160 value 30.542821
## iter  180 value 29.401069
## iter  200 value 27.800547
## final  value 27.787330 
## stopped after 201 iterations
## iter   20 value 62.803983
## iter   40 value 29.450714
## iter   60 value 9.705550
## iter   80 value 4.127748
## iter  100 value 2.243306
## iter  120 value 1.639541
## iter  140 value 1.429846
## iter  160 value 1.270095
## iter  180 value 1.194086
## iter  200 value 1.161773
## final  value 1.157236 
## stopped after 201 iterations
## iter   20 value 63.615078
## iter   40 value 42.840904
## iter   60 value 36.395988
## iter   80 value 30.969082
## iter  100 value 8.076561
## iter  120 value 2.927079
## iter  140 value 1.509893
## iter  160 value 1.313448
## iter  180 value 1.185592
## iter  200 value 1.137038
## final  value 1.136232 
## stopped after 201 iterations
## iter   20 value 80.401422
## iter   40 value 15.350351
## iter   60 value 4.460520
## iter   80 value 2.241854
## iter  100 value 1.709935
## iter  120 value 1.382388
## iter  140 value 1.287581
## iter  160 value 1.217539
## iter  180 value 1.164634
## iter  200 value 1.149906
## final  value 1.148913 
## stopped after 201 iterations
## iter   20 value 77.388171
## iter   40 value 41.618352
## iter   60 value 23.315830
## iter   80 value 6.207727
## iter  100 value 4.883576
## iter  120 value 4.384430
## iter  140 value 3.632879
## iter  160 value 3.362091
## iter  180 value 3.001747
## iter  200 value 2.939488
## final  value 2.937768 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 0.6265 0.3925 0.4823 2.559 time 1.81 
## iter   20 value 89.836049
## iter   40 value 23.672965
## iter   60 value 5.949110
## iter   80 value 3.342286
## iter  100 value 2.405043
## iter  120 value 1.860950
## iter  140 value 1.518619
## iter  160 value 1.423598
## iter  180 value 1.397569
## iter  200 value 1.376801
## final  value 1.376603 
## stopped after 201 iterations
## iter   20 value 143.511011
## iter   40 value 41.533112
## iter   60 value 28.898839
## iter   80 value 11.561117
## iter  100 value 4.234210
## iter  120 value 2.181361
## iter  140 value 1.822172
## iter  160 value 1.523683
## iter  180 value 1.454199
## iter  200 value 1.396295
## final  value 1.394270 
## stopped after 201 iterations
## iter   20 value 76.852636
## iter   40 value 38.696887
## iter   60 value 34.733505
## iter   80 value 31.795399
## iter  100 value 27.147393
## iter  120 value 15.706016
## iter  140 value 3.813946
## iter  160 value 2.912359
## iter  180 value 2.418900
## iter  200 value 1.819789
## final  value 1.800399 
## stopped after 201 iterations
## iter   20 value 84.744062
## iter   40 value 38.178916
## iter   60 value 33.489408
## iter   80 value 22.648811
## iter  100 value 17.405610
## iter  120 value 15.273757
## iter  140 value 12.546486
## iter  160 value 10.527091
## iter  180 value 9.276892
## iter  200 value 8.518822
## final  value 8.488811 
## stopped after 201 iterations
## iter   20 value 126.501550
## iter   40 value 81.633068
## iter   60 value 44.802654
## iter   80 value 39.059324
## iter  100 value 35.093871
## iter  120 value 28.947983
## iter  140 value 26.433257
## iter  160 value 24.794519
## iter  180 value 23.702395
## iter  200 value 21.692441
## final  value 21.637155 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 1.7003 2.8912 1.3675 9.0496 time 1.77 
## iter   20 value 52.442350
## iter   40 value 36.181467
## iter   60 value 30.928177
## iter   80 value 11.467111
## iter  100 value 4.104325
## iter  120 value 2.563571
## iter  140 value 2.333951
## iter  160 value 1.798609
## iter  180 value 1.620421
## iter  200 value 1.407895
## final  value 1.403126 
## stopped after 201 iterations
## iter   20 value 61.918870
## iter   40 value 39.310424
## iter   60 value 36.440038
## iter   80 value 33.052496
## iter  100 value 31.026976
## iter  120 value 29.957964
## iter  140 value 28.945857
## iter  160 value 28.571742
## iter  180 value 28.054397
## iter  200 value 27.064653
## final  value 27.053261 
## stopped after 201 iterations
## iter   20 value 56.898553
## iter   40 value 16.234671
## iter   60 value 5.725280
## iter   80 value 3.396184
## iter  100 value 2.125841
## iter  120 value 1.510716
## iter  140 value 1.181504
## iter  160 value 1.137442
## iter  180 value 1.113855
## iter  200 value 1.087138
## final  value 1.086128 
## stopped after 201 iterations
## iter   20 value 67.723220
## iter   40 value 43.311724
## iter   60 value 39.279175
## iter   80 value 12.112061
## iter  100 value 4.644063
## iter  120 value 2.942073
## iter  140 value 2.306622
## iter  160 value 1.964874
## iter  180 value 1.678100
## iter  200 value 1.451185
## final  value 1.444551 
## stopped after 201 iterations
## iter   20 value 70.294146
## iter   40 value 38.643394
## iter   60 value 35.387487
## iter   80 value 33.211554
## iter  100 value 27.803551
## iter  120 value 22.172489
## iter  140 value 13.581892
## iter  160 value 12.290304
## iter  180 value 11.534268
## iter  200 value 11.038398
## final  value 11.018117 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 1.2134 1.4723 0.8811 8.5046 time 1.75

## 
## ________________________________________________________________________________ 
## ***   mFriedman_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.4483    alpha= 0.0031   beta= 1220.222 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 32.7849    alpha= 0.5026   beta= 3.9391 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 34.2667    alpha= 0.0707   beta= 93.0582 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.4451    alpha= 0.003    beta= 1230.241 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.8065    alpha= 0.0022   beta= 833.1359 
## brnn brnn gaussNewton i 5 summary statistics 0.0056 0 0.0043 0.0192 time 0.26 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.4672    alpha= 0.0032   beta= 1208.985 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.5455    alpha= 0.0037   beta= 1162.11 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.4725    alpha= 0.0032   beta= 1213.99 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.8336    alpha= 0.0021   beta= 830.3436 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.4725    alpha= 0.0032   beta= 1213.973 
## brnn brnn gaussNewton i 10 summary statistics 0.0046 0 0.0037 0.0141 time 0.27 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.6556    alpha= 0.0046   beta= 1104.34 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.4606    alpha= 0.0032   beta= 1212.873 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.9213    alpha= 0.0076   beta= 936.7774 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.4792    alpha= 0.0033   beta= 1209.973 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.6742    alpha= 0.0047   beta= 1093.025 
## brnn brnn gaussNewton i 15 summary statistics 0.0049 0 0.0039 0.0147 time 0.28 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.8053    alpha= 0.0022   beta= 833.395 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.6467    alpha= 0.0045   beta= 1100.802 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.8065    alpha= 0.0022   beta= 833.1366 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.4858    alpha= 0.0033   beta= 1206.08 
## Number of parameters (weights and biases) to estimate: 35 
## Nguyen-Widrow method
## Scaling factor= 0.7022568 
## gamma= 33.4364    alpha= 0.003    beta= 1235.389 
## brnn brnn gaussNewton i 20 summary statistics 0.0046 0 0.0037 0.014 time 0.28

## 
## ________________________________________________________________________________ 
## ***   mFriedman_CaDENCE::cadence.fit_optim ***
## n.hidden = 5 --> 1 * NLL = -366.1548 ; penalty = 0; BIC = -471.2961 ; AICc = -640.4059 ; AIC = -648.3096
## n.hidden = 5 --> 1 * NLL = -625.8487 ; penalty = 0; BIC = -990.6838 ; AICc = -1159.794 ; AIC = -1167.697
## n.hidden = 5 --> 1 * NLL = 189.7505 ; penalty = 0; BIC = 640.5146 ; AICc = 471.4048 ; AIC = 463.5011
## n.hidden = 5 --> 1 * NLL = -500.5732 ; penalty = 0; BIC = -740.1329 ; AICc = -909.2427 ; AIC = -917.1464
## n.hidden = 5 --> 1 * NLL = 104.4758 ; penalty = 0; BIC = 469.9651 ; AICc = 300.8553 ; AIC = 292.9516
## CaDENCE cadence.fit optim i 5 summary statistics 0.0957 0.0092 0.0684 0.282 time 9.72 
## n.hidden = 5 --> 1 * NLL = -406.3417 ; penalty = 0; BIC = -551.6699 ; AICc = -720.7798 ; AIC = -728.6835
## n.hidden = 5 --> 1 * NLL = -426.057 ; penalty = 0; BIC = -591.1005 ; AICc = -760.2104 ; AIC = -768.1141
## n.hidden = 5 --> 1 * NLL = 169.4856 ; penalty = 0; BIC = 599.9848 ; AICc = 430.875 ; AIC = 422.9713
## n.hidden = 5 --> 1 * NLL = -577.0533 ; penalty = 0; BIC = -893.0931 ; AICc = -1062.203 ; AIC = -1070.107
## n.hidden = 5 --> 1 * NLL = -536.3025 ; penalty = 0; BIC = -811.5914 ; AICc = -980.7013 ; AIC = -988.605
## CaDENCE cadence.fit optim i 10 summary statistics 0.0246 0.0006 0.0185 0.0748 time 9.78 
## n.hidden = 5 --> 1 * NLL = -352.9352 ; penalty = 0; BIC = -444.8568 ; AICc = -613.9666 ; AIC = -621.8703
## n.hidden = 5 --> 1 * NLL = -405.5917 ; penalty = 0; BIC = -550.1698 ; AICc = -719.2797 ; AIC = -727.1834
## n.hidden = 5 --> 1 * NLL = -330.8096 ; penalty = 0; BIC = -400.6057 ; AICc = -569.7155 ; AIC = -577.6192
## n.hidden = 5 --> 1 * NLL = 180.1217 ; penalty = 0; BIC = 621.257 ; AICc = 452.1472 ; AIC = 444.2435
## n.hidden = 5 --> 1 * NLL = -450.288 ; penalty = 0; BIC = -639.5625 ; AICc = -808.6723 ; AIC = -816.576
## CaDENCE cadence.fit optim i 15 summary statistics 0.098 0.0096 0.0555 0.3035 time 9.74 
## n.hidden = 5 --> 1 * NLL = -608.4756 ; penalty = 0; BIC = -955.9376 ; AICc = -1125.047 ; AIC = -1132.951
## n.hidden = 5 --> 1 * NLL = -404.5813 ; penalty = 0; BIC = -548.149 ; AICc = -717.2588 ; AIC = -725.1625
## n.hidden = 5 --> 1 * NLL = -406.2106 ; penalty = 0; BIC = -551.4076 ; AICc = -720.5174 ; AIC = -728.4211
## n.hidden = 5 --> 1 * NLL = -520.4697 ; penalty = 0; BIC = -779.9258 ; AICc = -949.0356 ; AIC = -956.9393
## n.hidden = 5 --> 1 * NLL = 82.82277 ; penalty = 0; BIC = 426.6591 ; AICc = 257.5493 ; AIC = 249.6455
## CaDENCE cadence.fit optim i 20 summary statistics 0.1016 0.0103 0.0692 0.3283 time 9.81

## 
## ________________________________________________________________________________ 
## ***   mFriedman_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 0.1007 0.0101 0.0818 0.263 time 0.08 
## MachineShop fit none i 10 summary statistics 0.0174 0.0003 0.0139 0.0722 time 0.09 
## MachineShop fit none i 15 summary statistics 0.0669 0.0045 0.0561 0.1554 time 0.1 
## MachineShop fit none i 20 summary statistics 0.0227 0.0005 0.0174 0.0677 time 0.11

## 
## ________________________________________________________________________________ 
## ***   mFriedman_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 0.0826 0.0068 0.0734 0.1839 time 0.41 
## minpack.lm nlsLM none i 10 summary statistics 0.0055 0 0.0044 0.016 time 0.38 
## minpack.lm nlsLM none i 15 summary statistics 0.0807 0.0065 0.0735 0.149 time 0.37 
## minpack.lm nlsLM none i 20 summary statistics 0.0777 0.006 0.0687 0.1698 time 0.41

## 
## ________________________________________________________________________________ 
## ***   mFriedman_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 0.081 0.0066 0.0733 0.1642 time 0.3 
## monmlp monmlp.fit BFGS i 10 summary statistics 0.0184 0.0003 0.0139 0.062 time 0.3 
## monmlp monmlp.fit BFGS i 15 summary statistics 0.0141 0.0002 0.0112 0.045 time 0.3 
## monmlp monmlp.fit BFGS i 20 summary statistics 0.0151 0.0002 0.012 0.0481 time 0.29

## 
## ________________________________________________________________________________ 
## ***   mFriedman_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## nlsr nlxb none i 5 summary statistics 0.0056 0 0.0044 0.0189 time 0.67 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## nlsr nlxb none i 10 summary statistics 0.0055 0 0.0043 0.0174 time 0.83 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## nlsr nlxb none i 15 summary statistics 0.0055 0 0.0043 0.0183 time 0.69 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30"
## [37] "b31" "b32" "b33" "b34" "b35" "b36"
## no weights
## nlsr nlxb none i 20 summary statistics 0.0796 0.0063 0.0711 0.1648 time 0.86

## 
## ________________________________________________________________________________ 
## ***   mFriedman_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 0.0805 0.0065 0.0733 0.156 time 0.08 
## nnet nnet none i 10 summary statistics 0.0193 0.0004 0.0155 0.0577 time 0.09 
## nnet nnet none i 15 summary statistics 0.0098 0.0001 0.0078 0.0303 time 0.11 
## nnet nnet none i 20 summary statistics 0.0099 0.0001 0.0077 0.0304 time 0.1

## 
## ________________________________________________________________________________ 
## ***   mFriedman_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 0.0922 0.0085 0.07 0.2003 time 0.44 
## qrnn qrnn.fit none i 10 summary statistics 0.0878 0.0077 0.0673 0.2326 time 0.26 
## qrnn qrnn.fit none i 15 summary statistics 0.1132 0.0128 0.0851 0.3845 time 0.86 
## qrnn qrnn.fit none i 20 summary statistics 0.0899 0.0081 0.071 0.2284 time 0.87

## 
## ________________________________________________________________________________ 
## ***   mFriedman_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 0.0079 0.0001 0.0063 0.0232 time 0.14 
## radiant.model nn none i 10 summary statistics 0.0142 0.0002 0.0112 0.0471 time 0.11 
## radiant.model nn none i 15 summary statistics 0.0154 0.0002 0.0117 0.0543 time 0.12 
## radiant.model nn none i 20 summary statistics 0.0108 0.0001 0.0084 0.0341 time 0.11

## 
## ________________________________________________________________________________ 
## ***   mFriedman_rminer::fit_none ***
## rminer fit none i 5 summary statistics 0.0106 0.0001 0.0084 0.0373 time 0.28 
## rminer fit none i 10 summary statistics 0.0167 0.0003 0.0126 0.0611 time 0.3 
## rminer fit none i 15 summary statistics 0.0094 0.0001 0.0074 0.0298 time 0.3 
## rminer fit none i 20 summary statistics 0.0105 0.0001 0.0082 0.0319 time 0.29

## 
## ________________________________________________________________________________ 
## ***   mFriedman_validann::ann_BFGS ***
## initial  value 634.656971 
## iter  20 value 139.664666
## iter  40 value 94.059374
## iter  60 value 36.830455
## iter  80 value 16.541336
## iter 100 value 11.000139
## iter 120 value 4.362652
## iter 140 value 1.848193
## iter 160 value 1.393039
## iter 180 value 1.268947
## iter 200 value 0.872247
## final  value 0.872247 
## stopped after 200 iterations
## initial  value 605.937598 
## iter  20 value 161.648756
## iter  40 value 103.162182
## iter  60 value 73.792806
## iter  80 value 65.747401
## iter 100 value 58.080262
## iter 120 value 20.430317
## iter 140 value 8.681500
## iter 160 value 6.958512
## iter 180 value 5.501597
## iter 200 value 3.153897
## final  value 3.153897 
## stopped after 200 iterations
## initial  value 438.584423 
## iter  20 value 140.052967
## iter  40 value 103.431950
## iter  60 value 52.348686
## iter  80 value 27.418764
## iter 100 value 19.199605
## iter 120 value 8.858240
## iter 140 value 3.329910
## iter 160 value 2.501788
## iter 180 value 2.171515
## iter 200 value 1.450462
## final  value 1.450462 
## stopped after 200 iterations
## initial  value 529.076064 
## iter  20 value 142.767106
## iter  40 value 93.836170
## iter  60 value 66.159971
## iter  80 value 63.591520
## iter 100 value 62.198882
## iter 120 value 61.175637
## iter 140 value 60.479379
## iter 160 value 60.227473
## iter 180 value 60.038338
## iter 200 value 59.688770
## final  value 59.688770 
## stopped after 200 iterations
## initial  value 616.947209 
## iter  20 value 151.848968
## iter  40 value 120.227678
## iter  60 value 44.976500
## iter  80 value 14.701318
## iter 100 value 7.821095
## iter 120 value 6.407984
## iter 140 value 4.289362
## iter 160 value 2.807430
## iter 180 value 2.612179
## iter 200 value 2.176290
## final  value 2.176290 
## stopped after 200 iterations
## validann ann BFGS i 5 summary statistics 0.0155 0.0002 0.0125 0.0576 time 2.59 
## initial  value 464.518478 
## iter  20 value 158.839087
## iter  40 value 102.966041
## iter  60 value 73.243566
## iter  80 value 68.521788
## iter 100 value 66.439941
## iter 120 value 34.904380
## iter 140 value 9.181963
## iter 160 value 8.085335
## iter 180 value 6.532667
## iter 200 value 4.629442
## final  value 4.629442 
## stopped after 200 iterations
## initial  value 572.362350 
## iter  20 value 159.625839
## iter  40 value 117.214025
## iter  60 value 59.945495
## iter  80 value 43.511892
## iter 100 value 29.809131
## iter 120 value 18.587117
## iter 140 value 12.397435
## iter 160 value 10.422113
## iter 180 value 9.023546
## iter 200 value 5.882148
## final  value 5.882148 
## stopped after 200 iterations
## initial  value 569.921358 
## iter  20 value 120.174652
## iter  40 value 65.923364
## iter  60 value 50.617804
## iter  80 value 45.693241
## iter 100 value 37.305478
## iter 120 value 11.617729
## iter 140 value 5.033441
## iter 160 value 3.874031
## iter 180 value 3.042749
## iter 200 value 1.474503
## final  value 1.474503 
## stopped after 200 iterations
## initial  value 615.533182 
## iter  20 value 138.035015
## iter  40 value 95.419492
## iter  60 value 73.782301
## iter  80 value 69.331414
## iter 100 value 66.934111
## iter 120 value 63.892231
## iter 140 value 62.302669
## iter 160 value 61.930324
## iter 180 value 61.042970
## iter 200 value 59.897921
## final  value 59.897921 
## stopped after 200 iterations
## initial  value 637.133474 
## iter  20 value 155.090126
## iter  40 value 139.907738
## iter  60 value 75.685242
## iter  80 value 70.082830
## iter 100 value 67.771347
## iter 120 value 65.169166
## iter 140 value 18.527731
## iter 160 value 14.098533
## iter 180 value 8.076604
## iter 200 value 4.284397
## final  value 4.284397 
## stopped after 200 iterations
## validann ann BFGS i 10 summary statistics 0.0218 0.0005 0.0168 0.0844 time 2.37 
## initial  value 504.744691 
## iter  20 value 117.206774
## iter  40 value 57.507863
## iter  60 value 27.767674
## iter  80 value 18.929851
## iter 100 value 13.216555
## iter 120 value 7.292079
## iter 140 value 2.755930
## iter 160 value 2.086204
## iter 180 value 1.760229
## iter 200 value 1.258573
## final  value 1.258573 
## stopped after 200 iterations
## initial  value 482.150934 
## iter  20 value 147.835604
## iter  40 value 69.219140
## iter  60 value 19.170635
## iter  80 value 12.209941
## iter 100 value 7.969851
## iter 120 value 3.683457
## iter 140 value 1.557993
## iter 160 value 1.200528
## iter 180 value 1.077435
## iter 200 value 0.827011
## final  value 0.827011 
## stopped after 200 iterations
## initial  value 674.522724 
## iter  20 value 160.048912
## iter  40 value 107.297566
## iter  60 value 29.171597
## iter  80 value 18.635347
## iter 100 value 14.298503
## iter 120 value 5.223750
## iter 140 value 2.005718
## iter 160 value 1.654758
## iter 180 value 1.463163
## iter 200 value 1.015181
## final  value 1.015181 
## stopped after 200 iterations
## initial  value 486.689772 
## iter  20 value 115.004223
## iter  40 value 76.655893
## iter  60 value 64.651752
## iter  80 value 62.729036
## iter 100 value 62.027728
## iter 120 value 60.241019
## iter 140 value 58.416607
## iter 160 value 56.772664
## iter 180 value 56.405486
## iter 200 value 56.370445
## final  value 56.370445 
## stopped after 200 iterations
## initial  value 553.478961 
## iter  20 value 124.310177
## iter  40 value 50.513614
## iter  60 value 20.839390
## iter  80 value 12.688006
## iter 100 value 8.534538
## iter 120 value 4.473195
## iter 140 value 1.981601
## iter 160 value 1.516064
## iter 180 value 1.308064
## iter 200 value 0.920083
## final  value 0.920083 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 0.0101 0.0001 0.008 0.0294 time 2.33 
## initial  value 760.925576 
## iter  20 value 104.396468
## iter  40 value 69.427978
## iter  60 value 45.536595
## iter  80 value 25.116088
## iter 100 value 13.404531
## iter 120 value 7.059737
## iter 140 value 5.296161
## iter 160 value 4.816201
## iter 180 value 4.238855
## iter 200 value 3.062763
## final  value 3.062763 
## stopped after 200 iterations
## initial  value 401.531767 
## iter  20 value 188.191106
## iter  40 value 119.506621
## iter  60 value 36.171375
## iter  80 value 15.273841
## iter 100 value 10.536490
## iter 120 value 5.009293
## iter 140 value 2.399425
## iter 160 value 1.920798
## iter 180 value 1.715715
## iter 200 value 1.036093
## final  value 1.036093 
## stopped after 200 iterations
## initial  value 674.747995 
## iter  20 value 141.958509
## iter  40 value 69.067573
## iter  60 value 42.932150
## iter  80 value 32.147231
## iter 100 value 28.766365
## iter 120 value 13.633563
## iter 140 value 6.196975
## iter 160 value 4.460022
## iter 180 value 3.706693
## iter 200 value 2.659680
## final  value 2.659680 
## stopped after 200 iterations
## initial  value 572.260796 
## iter  20 value 148.596206
## iter  40 value 74.861858
## iter  60 value 34.903985
## iter  80 value 12.992240
## iter 100 value 10.170706
## iter 120 value 7.415042
## iter 140 value 5.655385
## iter 160 value 4.600740
## iter 180 value 3.811553
## iter 200 value 2.884984
## final  value 2.884984 
## stopped after 200 iterations
## initial  value 535.757044 
## iter  20 value 151.041308
## iter  40 value 102.073222
## iter  60 value 84.646410
## iter  80 value 62.723159
## iter 100 value 51.062995
## iter 120 value 44.545152
## iter 140 value 44.022598
## iter 160 value 43.951208
## iter 180 value 43.777338
## iter 200 value 43.643419
## final  value 43.643419 
## stopped after 200 iterations
## validann ann BFGS i 20 summary statistics 0.0694 0.0048 0.0494 0.1649 time 2.35

## 
## ________________________________________________________________________________ 
## ***   mFriedman_validann::ann_L-BFGS-B ***
## iter   20 value 115.410359
## iter   40 value 71.735057
## iter   60 value 66.508041
## iter   80 value 63.996857
## iter  100 value 62.563961
## iter  120 value 61.965672
## iter  140 value 61.499430
## iter  160 value 61.363738
## iter  180 value 61.193179
## iter  200 value 60.933522
## final  value 60.917431 
## stopped after 201 iterations
## iter   20 value 112.457721
## iter   40 value 66.456642
## iter   60 value 63.975728
## iter   80 value 10.811013
## iter  100 value 6.845473
## iter  120 value 5.824719
## iter  140 value 4.843813
## iter  160 value 4.329903
## iter  180 value 3.987277
## iter  200 value 3.581026
## final  value 3.565785 
## stopped after 201 iterations
## iter   20 value 138.238372
## iter   40 value 27.319376
## iter   60 value 17.808617
## iter   80 value 13.503587
## iter  100 value 9.590898
## iter  120 value 8.363997
## iter  140 value 7.202265
## iter  160 value 6.014377
## iter  180 value 5.710757
## iter  200 value 5.333754
## final  value 5.331037 
## stopped after 201 iterations
## iter   20 value 68.913330
## iter   40 value 39.794091
## iter   60 value 27.327510
## iter   80 value 18.047588
## iter  100 value 13.045513
## iter  120 value 11.584331
## iter  140 value 10.457994
## iter  160 value 9.956336
## iter  180 value 9.348795
## iter  200 value 8.721076
## final  value 8.687453 
## stopped after 201 iterations
## iter   20 value 137.664729
## iter   40 value 95.139339
## iter   60 value 73.674376
## iter   80 value 69.335915
## iter  100 value 66.813962
## iter  120 value 65.894461
## iter  140 value 61.999183
## iter  160 value 13.538243
## iter  180 value 7.747209
## iter  200 value 7.210290
## final  value 7.194532 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 0.0282 0.0008 0.0227 0.1097 time 2.46 
## iter   20 value 97.562725
## iter   40 value 66.050407
## iter   60 value 62.402904
## iter   80 value 60.915581
## iter  100 value 59.533891
## iter  120 value 59.044220
## iter  140 value 58.762616
## iter  160 value 58.700964
## iter  180 value 58.669636
## iter  200 value 58.594541
## final  value 58.590294 
## stopped after 201 iterations
## iter   20 value 107.594517
## iter   40 value 66.865907
## iter   60 value 61.936596
## iter   80 value 59.579790
## iter  100 value 59.125141
## iter  120 value 58.921068
## iter  140 value 58.718794
## iter  160 value 58.664562
## iter  180 value 58.572975
## iter  200 value 58.448598
## final  value 58.444455 
## stopped after 201 iterations
## iter   20 value 114.463508
## iter   40 value 70.713445
## iter   60 value 61.565170
## iter   80 value 59.283609
## iter  100 value 20.726726
## iter  120 value 8.081139
## iter  140 value 6.063830
## iter  160 value 5.445479
## iter  180 value 4.970659
## iter  200 value 4.209067
## final  value 4.161692 
## stopped after 201 iterations
## iter   20 value 118.977056
## iter   40 value 73.841191
## iter   60 value 65.103811
## iter   80 value 63.179118
## iter  100 value 62.497964
## iter  120 value 62.128945
## iter  140 value 61.735894
## iter  160 value 61.239722
## iter  180 value 61.001749
## iter  200 value 60.817576
## final  value 60.815498 
## stopped after 201 iterations
## iter   20 value 76.493496
## iter   40 value 66.310833
## iter   60 value 64.579080
## iter   80 value 62.679376
## iter  100 value 60.608786
## iter  120 value 59.460868
## iter  140 value 59.201781
## iter  160 value 58.954376
## iter  180 value 58.424733
## iter  200 value 58.307401
## final  value 58.305287 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 0.0803 0.0064 0.0732 0.148 time 2.44 
## iter   20 value 96.283300
## iter   40 value 49.447441
## iter   60 value 44.515828
## iter   80 value 43.277881
## iter  100 value 43.160954
## iter  120 value 43.115599
## iter  140 value 43.098381
## iter  160 value 43.088740
## iter  180 value 43.082286
## iter  200 value 43.065038
## final  value 43.064254 
## stopped after 201 iterations
## iter   20 value 106.578467
## iter   40 value 27.580635
## iter   60 value 16.997454
## iter   80 value 12.432325
## iter  100 value 9.915960
## iter  120 value 8.910474
## iter  140 value 7.685042
## iter  160 value 6.392227
## iter  180 value 5.692784
## iter  200 value 5.467264
## final  value 5.458076 
## stopped after 201 iterations
## iter   20 value 131.915650
## iter   40 value 49.191638
## iter   60 value 44.916327
## iter   80 value 43.237775
## iter  100 value 43.123639
## iter  120 value 43.104938
## iter  140 value 43.077966
## iter  160 value 43.060086
## iter  180 value 43.052323
## iter  200 value 43.038163
## final  value 43.037159 
## stopped after 201 iterations
## iter   20 value 134.393120
## iter   40 value 68.488541
## iter   60 value 63.393124
## iter   80 value 58.200034
## iter  100 value 13.923327
## iter  120 value 9.023222
## iter  140 value 7.364023
## iter  160 value 5.410680
## iter  180 value 4.585074
## iter  200 value 4.374318
## final  value 4.368860 
## stopped after 201 iterations
## iter   20 value 77.869146
## iter   40 value 66.473488
## iter   60 value 24.006001
## iter   80 value 8.161988
## iter  100 value 5.913608
## iter  120 value 5.281141
## iter  140 value 4.865318
## iter  160 value 4.365936
## iter  180 value 3.888420
## iter  200 value 3.383310
## final  value 3.341624 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 0.0192 0.0004 0.0151 0.0603 time 2.39 
## iter   20 value 119.509204
## iter   40 value 69.490615
## iter   60 value 66.115618
## iter   80 value 19.956786
## iter  100 value 15.093888
## iter  120 value 12.639585
## iter  140 value 9.742284
## iter  160 value 7.315019
## iter  180 value 6.375203
## iter  200 value 5.792492
## final  value 5.780983 
## stopped after 201 iterations
## iter   20 value 133.636359
## iter   40 value 76.521256
## iter   60 value 24.207387
## iter   80 value 11.993910
## iter  100 value 7.266124
## iter  120 value 5.532262
## iter  140 value 4.662019
## iter  160 value 4.315583
## iter  180 value 4.014430
## iter  200 value 3.634452
## final  value 3.615488 
## stopped after 201 iterations
## iter   20 value 137.383336
## iter   40 value 74.618807
## iter   60 value 66.213932
## iter   80 value 64.285240
## iter  100 value 63.278314
## iter  120 value 61.816792
## iter  140 value 61.437825
## iter  160 value 61.206600
## iter  180 value 60.839128
## iter  200 value 60.715268
## final  value 60.713030 
## stopped after 201 iterations
## iter   20 value 121.465278
## iter   40 value 79.956846
## iter   60 value 65.556308
## iter   80 value 62.867260
## iter  100 value 17.413396
## iter  120 value 9.774182
## iter  140 value 7.948130
## iter  160 value 6.408346
## iter  180 value 4.919358
## iter  200 value 4.221615
## final  value 4.201241 
## stopped after 201 iterations
## iter   20 value 82.017283
## iter   40 value 47.226383
## iter   60 value 12.010103
## iter   80 value 8.582352
## iter  100 value 6.133623
## iter  120 value 5.129900
## iter  140 value 3.780616
## iter  160 value 3.303327
## iter  180 value 2.861724
## iter  200 value 2.616931
## final  value 2.611372 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 0.017 0.0003 0.0135 0.0557 time 2.38

## 
## ________________________________________________________________________________ 
## ***   mIshigami_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 44.381     alpha= 0.0982   beta= 14.1204 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 44.3824    alpha= 0.0982   beta= 14.1205 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 43.7171    alpha= 0.1002   beta= 13.7586 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 44.3824    alpha= 0.0982   beta= 14.1204 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 25.3797    alpha= 0.356    beta= 0.9698 
## brnn brnn gaussNewton i 5 summary statistics 2.5838 6.6761 2.2419 6.5182 time 0.3 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 44.6998    alpha= 0.112    beta= 13.5765 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 44.3791    alpha= 0.0981   beta= 14.1211 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 24.2228    alpha= 0.3731   beta= 0.9663 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 45.0405    alpha= 0.0908   beta= 14.0583 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 45.0399    alpha= 0.0909   beta= 14.0578 
## brnn brnn gaussNewton i 10 summary statistics 0.6645 0.4415 0.5062 2.9204 time 0.26 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 44.8414    alpha= 0.0786   beta= 14.1468 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 24.2191    alpha= 0.3736   beta= 0.9662 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 45.9756    alpha= 0.0876   beta= 13.8744 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 44.3814    alpha= 0.0981   beta= 14.1215 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 26.5992    alpha= 0.4413   beta= 0.9577 
## brnn brnn gaussNewton i 15 summary statistics 2.5968 6.7436 2.2495 6.6903 time 0.17 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 46.6231    alpha= 0.0267   beta= 14.318 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 46.7868    alpha= 0.0861   beta= 15.2747 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 24.2569    alpha= 0.3678   beta= 0.967 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 43.7381    alpha= 0.1025   beta= 13.7212 
## Number of parameters (weights and biases) to estimate: 50 
## Nguyen-Widrow method
## Scaling factor= 0.7032311 
## gamma= 44.8387    alpha= 0.0786   beta= 14.1464 
## brnn brnn gaussNewton i 20 summary statistics 0.6625 0.4389 0.51 2.9355 time 0.22

## 
## ________________________________________________________________________________ 
## ***   mIshigami_CaDENCE::cadence.fit_optim ***
## n.hidden = 10 --> 1 * NLL = 205.6286 ; penalty = 0; BIC = 796.5629 ; AICc = 553.1337 ; AIC = 535.2572
## n.hidden = 10 --> 1 * NLL = 398.2521 ; penalty = 0; BIC = 1181.81 ; AICc = 938.3806 ; AIC = 920.5042
## n.hidden = 10 --> 1 * NLL = -134.9285 ; penalty = 0; BIC = 115.4486 ; AICc = -127.9806 ; AIC = -145.8571
## n.hidden = 10 --> 1 * NLL = 146.3407 ; penalty = 0; BIC = 677.987 ; AICc = 434.5577 ; AIC = 416.6813
## n.hidden = 10 --> 1 * NLL = 272.5537 ; penalty = 0; BIC = 930.413 ; AICc = 686.9838 ; AIC = 669.1073
## CaDENCE cadence.fit optim i 5 summary statistics 2.0786 4.3207 1.578 6.0159 time 16.47 
## n.hidden = 10 --> 1 * NLL = 505.0193 ; penalty = 0; BIC = 1395.344 ; AICc = 1151.915 ; AIC = 1134.039
## n.hidden = 10 --> 1 * NLL = 339.4834 ; penalty = 0; BIC = 1064.273 ; AICc = 820.8433 ; AIC = 802.9669
## n.hidden = 10 --> 1 * NLL = 12.15625 ; penalty = 0; BIC = 409.6182 ; AICc = 166.1889 ; AIC = 148.3125
## n.hidden = 10 --> 1 * NLL = 169.655 ; penalty = 0; BIC = 724.6157 ; AICc = 481.1865 ; AIC = 463.31
## n.hidden = 10 --> 1 * NLL = 394.2059 ; penalty = 0; BIC = 1173.718 ; AICc = 930.2883 ; AIC = 912.4119
## CaDENCE cadence.fit optim i 10 summary statistics 2.4104 5.8099 1.8811 8.4503 time 16.28 
## n.hidden = 10 --> 1 * NLL = 442.8615 ; penalty = 0; BIC = 1271.029 ; AICc = 1027.599 ; AIC = 1009.723
## n.hidden = 10 --> 1 * NLL = -114.1472 ; penalty = 0; BIC = 157.0113 ; AICc = -86.41801 ; AIC = -104.2944
## n.hidden = 10 --> 1 * NLL = 282.7519 ; penalty = 0; BIC = 950.8096 ; AICc = 707.3803 ; AIC = 689.5039
## n.hidden = 10 --> 1 * NLL = 493.0238 ; penalty = 0; BIC = 1371.353 ; AICc = 1127.924 ; AIC = 1110.048
## n.hidden = 10 --> 1 * NLL = 310.909 ; penalty = 0; BIC = 1007.124 ; AICc = 763.6943 ; AIC = 745.8179
## CaDENCE cadence.fit optim i 15 summary statistics 2.2443 5.0367 1.6771 7.0231 time 16.59 
## n.hidden = 10 --> 1 * NLL = -113.5736 ; penalty = 0; BIC = 158.1584 ; AICc = -85.27082 ; AIC = -103.1473
## n.hidden = 10 --> 1 * NLL = 20.26683 ; penalty = 0; BIC = 425.8394 ; AICc = 182.4101 ; AIC = 164.5337
## n.hidden = 10 --> 1 * NLL = 284.7339 ; penalty = 0; BIC = 954.7736 ; AICc = 711.3443 ; AIC = 693.4679
## n.hidden = 10 --> 1 * NLL = -438.4919 ; penalty = 0; BIC = -491.678 ; AICc = -735.1073 ; AIC = -752.9837
## n.hidden = 10 --> 1 * NLL = -427.1725 ; penalty = 0; BIC = -469.0392 ; AICc = -712.4685 ; AIC = -730.3449
## CaDENCE cadence.fit optim i 20 summary statistics 1.4162 2.0055 0.7108 6.6061 time 16.54

## 
## ________________________________________________________________________________ 
## ***   mIshigami_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 2.2811 5.2036 1.8599 6.05 time 0.17 
## MachineShop fit none i 10 summary statistics 2.2807 5.2017 1.8892 6.2706 time 0.15 
## MachineShop fit none i 15 summary statistics 0.8057 0.6491 0.6206 2.6764 time 0.17 
## MachineShop fit none i 20 summary statistics 0.6624 0.4388 0.5126 2.7589 time 0.16

## 
## ________________________________________________________________________________ 
## ***   mIshigami_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 1.9386 3.7581 1.4874 5.604 time 0.97 
## minpack.lm nlsLM none i 10 summary statistics 0.6116 0.374 0.4759 2.4629 time 0.94 
## minpack.lm nlsLM none i 15 summary statistics 0.6972 0.4861 0.5167 2.9456 time 0.93 
## minpack.lm nlsLM none i 20 summary statistics 2.486 6.18 2.1724 5.5562 time 0.94

## 
## ________________________________________________________________________________ 
## ***   mIshigami_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 0.8035 0.6456 0.5941 3.5394 time 0.45 
## monmlp monmlp.fit BFGS i 10 summary statistics 0.7115 0.5062 0.5279 3.0381 time 0.47 
## monmlp monmlp.fit BFGS i 15 summary statistics 0.7213 0.5202 0.5509 3.0227 time 0.5 
## monmlp monmlp.fit BFGS i 20 summary statistics 0.7365 0.5425 0.558 2.9218 time 0.48

## 
## ________________________________________________________________________________ 
## ***   mIshigami_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## nlsr nlxb none i 5 summary statistics 2.2897 5.2428 1.8725 6.048 time 1.34 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## nlsr nlxb none i 10 summary statistics 2.3789 5.6593 2.0821 5.7604 time 1.25 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## nlsr nlxb none i 15 summary statistics 2.4541 6.0228 2.129 5.6488 time 1.41 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "b8" 
## [13] "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19" "b20"
## [25] "b21" "b22" "b23" "b24" "b25" "b26" "b27" "b28" "b29" "b30" "b31" "b32"
## [37] "b33" "b34" "b35" "b36" "b37" "b38" "b39" "b40" "b41" "b42" "b43" "b44"
## [49] "b45" "b46" "b47" "b48" "b49" "b50" "b51"
## no weights
## nlsr nlxb none i 20 summary statistics 2.3833 5.6801 2.0408 5.7826 time 1.39

## 
## ________________________________________________________________________________ 
## ***   mIshigami_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 0.6641 0.441 0.501 2.9019 time 0.15 
## nnet nnet none i 10 summary statistics 0.5844 0.3415 0.4174 3.048 time 0.16 
## nnet nnet none i 15 summary statistics 0.7168 0.5138 0.534 2.8974 time 0.14 
## nnet nnet none i 20 summary statistics 0.6494 0.4217 0.4791 3.2118 time 0.16

## 
## ________________________________________________________________________________ 
## ***   mIshigami_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 2.2972 5.277 1.7384 7.4505 time 1.03 
## qrnn qrnn.fit none i 10 summary statistics 0.7379 0.5445 0.4662 3.6498 time 0.98 
## qrnn qrnn.fit none i 15 summary statistics 0.7893 0.623 0.484 4.0107 time 1.13 
## qrnn qrnn.fit none i 20 summary statistics 0.806 0.6496 0.53 3.8835 time 1.17

## 
## ________________________________________________________________________________ 
## ***   mIshigami_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 0.696 0.4843 0.4999 3.394 time 0.19 
## radiant.model nn none i 10 summary statistics 0.6666 0.4444 0.5059 2.4906 time 0.19 
## radiant.model nn none i 15 summary statistics 0.676 0.457 0.5162 2.6674 time 0.17 
## radiant.model nn none i 20 summary statistics 0.6678 0.446 0.5066 2.7355 time 0.21

## 
## ________________________________________________________________________________ 
## ***   mIshigami_rminer::fit_none ***
## rminer fit none i 5 summary statistics 0.6841 0.468 0.5121 2.8359 time 0.47 
## rminer fit none i 10 summary statistics 0.651 0.4238 0.4516 3.2744 time 0.46 
## rminer fit none i 15 summary statistics 0.652 0.4251 0.4953 3.1128 time 0.43 
## rminer fit none i 20 summary statistics 0.6535 0.4271 0.499 2.8501 time 0.46

## 
## ________________________________________________________________________________ 
## ***   mIshigami_validann::ann_BFGS ***
## initial  value 456.022092 
## iter  20 value 346.704145
## iter  40 value 275.490937
## iter  60 value 179.853993
## iter  80 value 129.317755
## iter 100 value 118.047965
## iter 120 value 112.326345
## iter 140 value 106.396728
## iter 160 value 70.622884
## iter 180 value 28.010553
## iter 200 value 18.603934
## final  value 18.603934 
## stopped after 200 iterations
## initial  value 568.949622 
## iter  20 value 307.369733
## iter  40 value 268.748263
## iter  60 value 249.160426
## iter  80 value 238.187939
## iter 100 value 231.185925
## iter 120 value 222.611742
## iter 140 value 217.979960
## iter 160 value 215.157046
## iter 180 value 212.783317
## iter 200 value 211.509886
## final  value 211.509886 
## stopped after 200 iterations
## initial  value 948.143900 
## iter  20 value 298.630459
## iter  40 value 246.466323
## iter  60 value 206.501981
## iter  80 value 198.733484
## iter 100 value 195.165717
## iter 120 value 194.396958
## iter 140 value 193.065385
## iter 160 value 190.768723
## iter 180 value 189.051669
## iter 200 value 187.635317
## final  value 187.635317 
## stopped after 200 iterations
## initial  value 486.819908 
## iter  20 value 318.988411
## iter  40 value 228.486764
## iter  60 value 127.682964
## iter  80 value 54.159191
## iter 100 value 33.360353
## iter 120 value 29.818935
## iter 140 value 26.892898
## iter 160 value 22.750856
## iter 180 value 20.515284
## iter 200 value 19.286952
## final  value 19.286952 
## stopped after 200 iterations
## initial  value 1199.505985 
## iter  20 value 351.691776
## iter  40 value 269.606936
## iter  60 value 154.938058
## iter  80 value 99.841282
## iter 100 value 48.703187
## iter 120 value 39.881225
## iter 140 value 32.956251
## iter 160 value 25.720497
## iter 180 value 22.820843
## iter 200 value 20.835354
## final  value 20.835354 
## stopped after 200 iterations
## validann ann BFGS i 5 summary statistics 0.754 0.5685 0.5443 3.2284 time 4.71 
## initial  value 622.931526 
## iter  20 value 288.455328
## iter  40 value 250.108968
## iter  60 value 169.074093
## iter  80 value 139.178461
## iter 100 value 87.042335
## iter 120 value 29.030764
## iter 140 value 21.942326
## iter 160 value 19.201385
## iter 180 value 17.469483
## iter 200 value 16.960091
## final  value 16.960091 
## stopped after 200 iterations
## initial  value 525.757838 
## iter  20 value 263.654135
## iter  40 value 198.030494
## iter  60 value 143.819973
## iter  80 value 106.226386
## iter 100 value 95.701383
## iter 120 value 91.948735
## iter 140 value 65.339872
## iter 160 value 26.238238
## iter 180 value 20.076186
## iter 200 value 18.339275
## final  value 18.339275 
## stopped after 200 iterations
## initial  value 687.219061 
## iter  20 value 273.422206
## iter  40 value 238.612001
## iter  60 value 158.250445
## iter  80 value 31.740445
## iter 100 value 25.103525
## iter 120 value 24.055508
## iter 140 value 21.856722
## iter 160 value 19.828590
## iter 180 value 19.002974
## iter 200 value 18.687965
## final  value 18.687965 
## stopped after 200 iterations
## initial  value 523.641085 
## iter  20 value 313.164101
## iter  40 value 247.047650
## iter  60 value 110.932474
## iter  80 value 52.646900
## iter 100 value 30.979924
## iter 120 value 25.433884
## iter 140 value 21.822862
## iter 160 value 18.583852
## iter 180 value 16.737516
## iter 200 value 16.055078
## final  value 16.055078 
## stopped after 200 iterations
## initial  value 777.435618 
## iter  20 value 310.188974
## iter  40 value 243.548985
## iter  60 value 164.922997
## iter  80 value 82.390193
## iter 100 value 27.960109
## iter 120 value 24.309413
## iter 140 value 21.714015
## iter 160 value 18.621801
## iter 180 value 17.012485
## iter 200 value 15.808271
## final  value 15.808271 
## stopped after 200 iterations
## validann ann BFGS i 10 summary statistics 0.6567 0.4313 0.4974 2.8511 time 5.05 
## initial  value 1000.347483 
## iter  20 value 285.869287
## iter  40 value 198.384362
## iter  60 value 144.077769
## iter  80 value 125.568130
## iter 100 value 117.890095
## iter 120 value 112.501095
## iter 140 value 97.802220
## iter 160 value 28.849061
## iter 180 value 20.024758
## iter 200 value 18.266423
## final  value 18.266423 
## stopped after 200 iterations
## initial  value 560.131062 
## iter  20 value 272.215956
## iter  40 value 232.781128
## iter  60 value 208.984087
## iter  80 value 201.256395
## iter 100 value 197.670970
## iter 120 value 196.967012
## iter 140 value 195.433650
## iter 160 value 189.099600
## iter 180 value 172.974413
## iter 200 value 165.254123
## final  value 165.254123 
## stopped after 200 iterations
## initial  value 749.195386 
## iter  20 value 286.104769
## iter  40 value 229.331468
## iter  60 value 170.249259
## iter  80 value 106.342114
## iter 100 value 86.926174
## iter 120 value 53.485801
## iter 140 value 26.003561
## iter 160 value 21.439835
## iter 180 value 20.821739
## iter 200 value 20.234818
## final  value 20.234818 
## stopped after 200 iterations
## initial  value 690.934386 
## iter  20 value 286.882475
## iter  40 value 230.476523
## iter  60 value 206.735679
## iter  80 value 174.612207
## iter 100 value 151.240084
## iter 120 value 150.424535
## iter 140 value 148.346005
## iter 160 value 93.006629
## iter 180 value 62.390323
## iter 200 value 30.623261
## final  value 30.623261 
## stopped after 200 iterations
## initial  value 696.135663 
## iter  20 value 283.109539
## iter  40 value 238.849413
## iter  60 value 194.596999
## iter  80 value 152.917445
## iter 100 value 141.074686
## iter 120 value 118.471441
## iter 140 value 99.253249
## iter 160 value 65.264067
## iter 180 value 35.052898
## iter 200 value 28.965777
## final  value 28.965777 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 0.889 0.7903 0.6814 3.9129 time 4.83 
## initial  value 526.875358 
## iter  20 value 283.884093
## iter  40 value 238.087645
## iter  60 value 186.369214
## iter  80 value 107.043002
## iter 100 value 41.135832
## iter 120 value 34.420001
## iter 140 value 29.841280
## iter 160 value 23.402687
## iter 180 value 21.218022
## iter 200 value 20.873418
## final  value 20.873418 
## stopped after 200 iterations
## initial  value 650.759404 
## iter  20 value 308.846287
## iter  40 value 266.900868
## iter  60 value 223.318765
## iter  80 value 212.026985
## iter 100 value 209.867196
## iter 120 value 207.909564
## iter 140 value 205.529652
## iter 160 value 200.099683
## iter 180 value 194.421960
## iter 200 value 191.057789
## final  value 191.057789 
## stopped after 200 iterations
## initial  value 723.163834 
## iter  20 value 280.891634
## iter  40 value 257.058683
## iter  60 value 241.938802
## iter  80 value 234.977204
## iter 100 value 203.623668
## iter 120 value 199.531175
## iter 140 value 192.390840
## iter 160 value 187.035164
## iter 180 value 185.177847
## iter 200 value 183.041195
## final  value 183.041195 
## stopped after 200 iterations
## initial  value 600.785244 
## iter  20 value 288.206600
## iter  40 value 259.158209
## iter  60 value 247.330967
## iter  80 value 234.053433
## iter 100 value 227.560897
## iter 120 value 226.214176
## iter 140 value 222.960769
## iter 160 value 220.234770
## iter 180 value 218.120981
## iter 200 value 216.214087
## final  value 216.214087 
## stopped after 200 iterations
## initial  value 627.720254 
## iter  20 value 264.088778
## iter  40 value 231.818477
## iter  60 value 212.701726
## iter  80 value 201.060389
## iter 100 value 199.013330
## iter 120 value 198.479679
## iter 140 value 197.321975
## iter 160 value 195.170130
## iter 180 value 194.269827
## iter 200 value 192.568519
## final  value 192.568519 
## stopped after 200 iterations
## validann ann BFGS i 20 summary statistics 2.2922 5.2541 1.8808 6.528 time 4.91

## 
## ________________________________________________________________________________ 
## ***   mIshigami_validann::ann_L-BFGS-B ***
## iter   20 value 291.566632
## iter   40 value 254.537677
## iter   60 value 242.380333
## iter   80 value 236.402387
## iter  100 value 205.733659
## iter  120 value 181.704234
## iter  140 value 161.428852
## iter  160 value 141.676625
## iter  180 value 129.059822
## iter  200 value 86.043275
## final  value 78.194745 
## stopped after 201 iterations
## iter   20 value 296.272898
## iter   40 value 250.002240
## iter   60 value 221.442465
## iter   80 value 211.405229
## iter  100 value 177.861906
## iter  120 value 147.043187
## iter  140 value 122.624254
## iter  160 value 105.066240
## iter  180 value 97.841678
## iter  200 value 92.392526
## final  value 92.026876 
## stopped after 201 iterations
## iter   20 value 303.122424
## iter   40 value 266.453865
## iter   60 value 247.706396
## iter   80 value 240.479575
## iter  100 value 223.473203
## iter  120 value 213.034055
## iter  140 value 211.033868
## iter  160 value 208.958123
## iter  180 value 207.322986
## iter  200 value 202.401581
## final  value 201.787734 
## stopped after 201 iterations
## iter   20 value 290.386400
## iter   40 value 257.975484
## iter   60 value 248.225994
## iter   80 value 229.616757
## iter  100 value 217.609020
## iter  120 value 214.724914
## iter  140 value 213.728742
## iter  160 value 212.253825
## iter  180 value 206.900011
## iter  200 value 184.638366
## final  value 183.504935 
## stopped after 201 iterations
## iter   20 value 282.393030
## iter   40 value 253.707242
## iter   60 value 238.527016
## iter   80 value 137.734099
## iter  100 value 76.655443
## iter  120 value 58.827235
## iter  140 value 47.602427
## iter  160 value 37.750934
## iter  180 value 32.086257
## iter  200 value 29.780606
## final  value 29.702436 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 0.9002 0.8104 0.6498 3.5796 time 5.39 
## iter   20 value 281.862378
## iter   40 value 249.819042
## iter   60 value 239.677542
## iter   80 value 204.094464
## iter  100 value 63.567862
## iter  120 value 43.101147
## iter  140 value 33.119171
## iter  160 value 28.876545
## iter  180 value 26.040067
## iter  200 value 23.529358
## final  value 23.402347 
## stopped after 201 iterations
## iter   20 value 319.499112
## iter   40 value 247.650345
## iter   60 value 222.398913
## iter   80 value 208.261726
## iter  100 value 160.738665
## iter  120 value 115.906120
## iter  140 value 57.954704
## iter  160 value 23.597114
## iter  180 value 21.755946
## iter  200 value 21.254662
## final  value 21.239165 
## stopped after 201 iterations
## iter   20 value 276.630059
## iter   40 value 252.975055
## iter   60 value 244.321464
## iter   80 value 224.070666
## iter  100 value 212.951384
## iter  120 value 209.801771
## iter  140 value 208.343149
## iter  160 value 206.929840
## iter  180 value 205.571597
## iter  200 value 205.099473
## final  value 205.064711 
## stopped after 201 iterations
## iter   20 value 285.870510
## iter   40 value 250.224034
## iter   60 value 239.091316
## iter   80 value 223.131295
## iter  100 value 208.999209
## iter  120 value 205.469296
## iter  140 value 204.419303
## iter  160 value 201.693152
## iter  180 value 197.946344
## iter  200 value 196.767220
## final  value 196.738022 
## stopped after 201 iterations
## iter   20 value 303.365515
## iter   40 value 253.392907
## iter   60 value 225.271162
## iter   80 value 212.829827
## iter  100 value 207.927784
## iter  120 value 94.045481
## iter  140 value 28.567761
## iter  160 value 22.929581
## iter  180 value 20.367694
## iter  200 value 19.709723
## final  value 19.688314 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 0.7329 0.5372 0.5426 2.8209 time 5.03 
## iter   20 value 294.240150
## iter   40 value 251.390499
## iter   60 value 226.040500
## iter   80 value 211.203455
## iter  100 value 131.495233
## iter  120 value 57.575164
## iter  140 value 38.462142
## iter  160 value 32.964430
## iter  180 value 28.634584
## iter  200 value 27.646348
## final  value 27.606968 
## stopped after 201 iterations
## iter   20 value 275.680017
## iter   40 value 247.499115
## iter   60 value 221.915520
## iter   80 value 214.570582
## iter  100 value 209.761109
## iter  120 value 206.407531
## iter  140 value 202.181505
## iter  160 value 196.234674
## iter  180 value 163.317859
## iter  200 value 156.798679
## final  value 156.649094 
## stopped after 201 iterations
## iter   20 value 258.922595
## iter   40 value 244.130307
## iter   60 value 235.738770
## iter   80 value 197.677353
## iter  100 value 154.839868
## iter  120 value 138.564118
## iter  140 value 113.068684
## iter  160 value 94.679702
## iter  180 value 33.437691
## iter  200 value 27.250738
## final  value 27.114400 
## stopped after 201 iterations
## iter   20 value 277.040173
## iter   40 value 250.511251
## iter   60 value 239.370766
## iter   80 value 220.253176
## iter  100 value 185.027471
## iter  120 value 70.727501
## iter  140 value 44.919680
## iter  160 value 34.309827
## iter  180 value 26.849001
## iter  200 value 23.384558
## final  value 23.342644 
## stopped after 201 iterations
## iter   20 value 283.260627
## iter   40 value 252.774430
## iter   60 value 239.803095
## iter   80 value 217.971497
## iter  100 value 189.287146
## iter  120 value 155.958716
## iter  140 value 136.025142
## iter  160 value 127.723419
## iter  180 value 96.150361
## iter  200 value 43.882052
## final  value 43.288043 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 1.0868 1.1811 0.8574 3.6047 time 5.08 
## iter   20 value 271.640077
## iter   40 value 243.227195
## iter   60 value 236.597767
## iter   80 value 212.146468
## iter  100 value 173.154041
## iter  120 value 150.036398
## iter  140 value 137.755010
## iter  160 value 133.638626
## iter  180 value 130.692148
## iter  200 value 124.949177
## final  value 124.704723 
## stopped after 201 iterations
## iter   20 value 296.285641
## iter   40 value 254.994560
## iter   60 value 238.485623
## iter   80 value 216.124322
## iter  100 value 211.503993
## iter  120 value 208.980220
## iter  140 value 207.244410
## iter  160 value 203.801717
## iter  180 value 201.707828
## iter  200 value 195.264014
## final  value 192.453300 
## stopped after 201 iterations
## iter   20 value 271.139236
## iter   40 value 252.097479
## iter   60 value 237.382676
## iter   80 value 214.276074
## iter  100 value 210.878462
## iter  120 value 208.506489
## iter  140 value 194.231691
## iter  160 value 161.856646
## iter  180 value 150.280700
## iter  200 value 94.994853
## final  value 92.366777 
## stopped after 201 iterations
## iter   20 value 294.041568
## iter   40 value 252.230961
## iter   60 value 225.271023
## iter   80 value 206.851608
## iter  100 value 161.724680
## iter  120 value 149.466056
## iter  140 value 97.589191
## iter  160 value 35.496710
## iter  180 value 23.829489
## iter  200 value 21.591077
## final  value 21.534568 
## stopped after 201 iterations
## iter   20 value 284.600020
## iter   40 value 255.789659
## iter   60 value 241.945010
## iter   80 value 218.821713
## iter  100 value 215.565768
## iter  120 value 213.181499
## iter  140 value 199.108158
## iter  160 value 81.054094
## iter  180 value 60.927145
## iter  200 value 47.048349
## final  value 46.218711 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 1.123 1.261 0.8724 4.4896 time 5.17

## 
## ________________________________________________________________________________ 
## ***   mRef153_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.1981    alpha= 0.9956   beta= 28.3084 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.1944    alpha= 0.9974   beta= 28.3013 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.1891    alpha= 1.0007   beta= 28.2879 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.3296    alpha= 0.9159   beta= 30.6295 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 18.7036    alpha= 1.3276   beta= 26.4415 
## brnn brnn gaussNewton i 5 summary statistics 3.606 13.0035 2.6909 14.5944 time 0.03 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 18.6993    alpha= 1.3278   beta= 26.441 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.3289    alpha= 0.9161   beta= 30.6282 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 18.7008    alpha= 1.3278   beta= 26.441 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.192     alpha= 0.9985   beta= 28.2964 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 18.7043    alpha= 1.3277   beta= 26.4412 
## brnn brnn gaussNewton i 10 summary statistics 3.606 13.0035 2.6912 14.5931 time 0.02 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.3288    alpha= 0.9162   beta= 30.6278 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 18.9018    alpha= 0.9586   beta= 29.2732 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 18.903     alpha= 0.9587   beta= 29.2724 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.3307    alpha= 0.9155   beta= 30.6314 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.1934    alpha= 0.9978   beta= 28.2994 
## brnn brnn gaussNewton i 15 summary statistics 3.4793 12.1054 2.5064 13.7372 time 0.02 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.1926    alpha= 0.9983   beta= 28.2975 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.3908    alpha= 0.8705   beta= 29.1605 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.3305    alpha= 0.9155   beta= 30.6316 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.1938    alpha= 0.9974   beta= 28.301 
## Number of parameters (weights and biases) to estimate: 21 
## Nguyen-Widrow method
## Scaling factor= 0.7050444 
## gamma= 19.3304    alpha= 0.9155   beta= 30.6314 
## brnn brnn gaussNewton i 20 summary statistics 3.3425 11.1724 2.3126 14.1248 time 0.01

## 
## ________________________________________________________________________________ 
## ***   mRef153_CaDENCE::cadence.fit_optim ***
## n.hidden = 3 --> 1 * NLL = -115.459 ; penalty = 0; BIC = -100.1266 ; AICc = -167.7751 ; AIC = -178.9179
## n.hidden = 3 --> 1 * NLL = -134.5653 ; penalty = 0; BIC = -138.3392 ; AICc = -205.9877 ; AIC = -217.1306
## n.hidden = 3 --> 1 * NLL = -126.9515 ; penalty = 0; BIC = -123.1115 ; AICc = -190.7601 ; AIC = -201.9029
## n.hidden = 3 --> 1 * NLL = -118.3101 ; penalty = 0; BIC = -105.8288 ; AICc = -173.4773 ; AIC = -184.6202
## n.hidden = 3 --> 1 * NLL = -125.6982 ; penalty = 0; BIC = -120.6049 ; AICc = -188.2535 ; AIC = -199.3963
## CaDENCE cadence.fit optim i 5 summary statistics 3.4921 12.1945 2.4346 14.1843 time 4.02 
## n.hidden = 3 --> 1 * NLL = -112.1768 ; penalty = 0; BIC = -93.56212 ; AICc = -161.2106 ; AIC = -172.3535
## n.hidden = 3 --> 1 * NLL = -110.9977 ; penalty = 0; BIC = -91.2041 ; AICc = -158.8526 ; AIC = -169.9955
## n.hidden = 3 --> 1 * NLL = -126.4222 ; penalty = 0; BIC = -122.053 ; AICc = -189.7016 ; AIC = -200.8444
## n.hidden = 3 --> 1 * NLL = -105.304 ; penalty = 0; BIC = -79.81656 ; AICc = -147.4651 ; AIC = -158.6079
## n.hidden = 3 --> 1 * NLL = -134.5653 ; penalty = 0; BIC = -138.3392 ; AICc = -205.9877 ; AIC = -217.1305
## CaDENCE cadence.fit optim i 10 summary statistics 3.471 12.0482 2.3375 11.9008 time 2.84 
## n.hidden = 3 --> 1 * NLL = -126.6715 ; penalty = 0; BIC = -122.5516 ; AICc = -190.2001 ; AIC = -201.343
## n.hidden = 3 --> 1 * NLL = -125.0806 ; penalty = 0; BIC = -119.3698 ; AICc = -187.0183 ; AIC = -198.1611
## n.hidden = 3 --> 1 * NLL = -130.7349 ; penalty = 0; BIC = -130.6785 ; AICc = -198.327 ; AIC = -209.4698
## n.hidden = 3 --> 1 * NLL = -110.2143 ; penalty = 0; BIC = -89.63715 ; AICc = -157.2857 ; AIC = -168.4285
## n.hidden = 3 --> 1 * NLL = -138.3038 ; penalty = 0; BIC = -145.8161 ; AICc = -213.4647 ; AIC = -224.6075
## CaDENCE cadence.fit optim i 15 summary statistics 3.5389 12.5235 2.4037 15.5514 time 3.95 
## n.hidden = 3 --> 1 * NLL = -115.3134 ; penalty = 0; BIC = -99.83539 ; AICc = -167.4839 ; AIC = -178.6268
## n.hidden = 3 --> 1 * NLL = -134.5653 ; penalty = 0; BIC = -138.3392 ; AICc = -205.9877 ; AIC = -217.1306
## n.hidden = 3 --> 1 * NLL = -109.7569 ; penalty = 0; BIC = -88.72249 ; AICc = -156.371 ; AIC = -167.5139
## n.hidden = 3 --> 1 * NLL = -133.058 ; penalty = 0; BIC = -135.3246 ; AICc = -202.9731 ; AIC = -214.116
## n.hidden = 3 --> 1 * NLL = -120.5587 ; penalty = 0; BIC = -110.3261 ; AICc = -177.9746 ; AIC = -189.1175
## CaDENCE cadence.fit optim i 20 summary statistics 4.9044 24.0535 3.2858 17.1936 time 4.15

## 
## ________________________________________________________________________________ 
## ***   mRef153_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 3.2551 10.5959 2.2679 13.8538 time 0.02 
## MachineShop fit none i 10 summary statistics 3.1128 9.6892 2.1804 12.6402 time 0.02 
## MachineShop fit none i 15 summary statistics 3.4548 11.9359 2.3838 13.7854 time 0 
## MachineShop fit none i 20 summary statistics 3.5675 12.7269 2.6896 14.8891 time 0.03

## 
## ________________________________________________________________________________ 
## ***   mRef153_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 3.6461 13.294 2.6202 13.931 time 0.08 
## minpack.lm nlsLM none i 10 summary statistics 3.1128 9.6892 2.1804 12.6408 time 0.04 
## minpack.lm nlsLM none i 15 summary statistics 3.4797 12.1085 2.5205 12.3736 time 0.08 
## minpack.lm nlsLM none i 20 summary statistics 3.5666 12.7205 2.6561 14.7303 time 0.08

## 
## ________________________________________________________________________________ 
## ***   mRef153_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 3.4202 11.6976 2.4653 13.7168 time 0.22 
## monmlp monmlp.fit BFGS i 10 summary statistics 3.2499 10.5622 2.3054 14.1438 time 0.22 
## monmlp monmlp.fit BFGS i 15 summary statistics 3.2276 10.4176 2.2892 14.4792 time 0.22 
## monmlp monmlp.fit BFGS i 20 summary statistics 3.258 10.6148 2.24 13.9283 time 0.22

## 
## ________________________________________________________________________________ 
## ***   mRef153_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## nlsr nlxb none i 5 summary statistics 3.9374 15.5033 2.8562 14.7413 time 0.15 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## nlsr nlxb none i 10 summary statistics 3.5672 12.7252 2.6815 14.833 time 0.35 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## nlsr nlxb none i 15 summary statistics 3.5963 12.9331 2.7012 15.2347 time 0.15 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x1"  "b5"  "x2"  "b6"  "x3"  "b7"  "x4" 
## [13] "b8"  "x5"  "b9"  "b10" "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18"
## [25] "b19" "b20" "b21" "b22"
## no weights
## nlsr nlxb none i 20 summary statistics 3.3381 11.1429 2.305 13.0925 time 0.13

## 
## ________________________________________________________________________________ 
## ***   mRef153_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 3.9721 15.7777 2.7401 16.5776 time 0 
## nnet nnet none i 10 summary statistics 3.1809 10.1179 2.236 13.4993 time 0.02 
## nnet nnet none i 15 summary statistics 3.4619 11.9845 2.5544 14.0788 time 0.02 
## nnet nnet none i 20 summary statistics 3.3958 11.5317 2.488 12.8469 time 0.03

## 
## ________________________________________________________________________________ 
## ***   mRef153_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 3.6014 12.9698 2.1756 17.0007 time 0.15 
## qrnn qrnn.fit none i 10 summary statistics 3.3426 11.1727 2.081 15.2132 time 0.17 
## qrnn qrnn.fit none i 15 summary statistics 4.1182 16.9597 2.5179 17.0228 time 0.16 
## qrnn qrnn.fit none i 20 summary statistics 3.7317 13.9259 2.2474 16.8199 time 0.23

## 
## ________________________________________________________________________________ 
## ***   mRef153_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 3.1801 10.113 2.2311 13.536 time 0.03 
## radiant.model nn none i 10 summary statistics 3.2259 10.4066 2.1844 14.0203 time 0.04 
## radiant.model nn none i 15 summary statistics 3.463 11.9924 2.5041 12.8235 time 0.05 
## radiant.model nn none i 20 summary statistics 3.355 11.2562 2.3364 12.8855 time 0.03

## 
## ________________________________________________________________________________ 
## ***   mRef153_rminer::fit_none ***
## rminer fit none i 5 summary statistics 3.1128 9.6892 2.1804 12.6402 time 0.05 
## rminer fit none i 10 summary statistics 3.3381 11.1429 2.305 13.0921 time 0.05 
## rminer fit none i 15 summary statistics 3.1128 9.6892 2.1804 12.6403 time 0.06 
## rminer fit none i 20 summary statistics 3.0889 9.5412 2.2317 11.7081 time 0.05

## 
## ________________________________________________________________________________ 
## ***   mRef153_validann::ann_BFGS ***
## initial  value 176.630972 
## iter  20 value 3.343866
## iter  40 value 2.307877
## iter  60 value 2.175648
## iter  80 value 2.103635
## iter 100 value 2.094100
## iter 120 value 2.092913
## final  value 2.092913 
## converged
## initial  value 173.908017 
## iter  20 value 3.773445
## iter  40 value 2.843260
## iter  60 value 2.805309
## iter  80 value 2.744566
## iter 100 value 2.702797
## final  value 2.702615 
## converged
## initial  value 213.704507 
## iter  20 value 3.927433
## iter  40 value 2.733958
## iter  60 value 2.726571
## iter  80 value 2.670834
## iter 100 value 2.648627
## iter 120 value 2.594176
## iter 140 value 2.394694
## iter 160 value 2.359765
## iter 180 value 2.223469
## iter 200 value 2.193098
## final  value 2.193098 
## stopped after 200 iterations
## initial  value 97.355436 
## iter  20 value 3.604907
## iter  40 value 2.701468
## iter  60 value 2.444141
## iter  80 value 2.308551
## iter 100 value 2.206471
## iter 120 value 2.177547
## iter 140 value 2.176299
## iter 160 value 2.176142
## final  value 2.176142 
## converged
## initial  value 170.952686 
## iter  20 value 4.939354
## iter  40 value 2.949920
## iter  60 value 2.826389
## iter  80 value 2.713795
## iter 100 value 2.618249
## iter 120 value 2.595735
## iter 140 value 2.591363
## iter 160 value 2.469813
## iter 180 value 2.349549
## iter 200 value 2.325038
## final  value 2.325038 
## stopped after 200 iterations
## validann ann BFGS i 5 summary statistics 3.4504 11.9053 2.5613 14.4267 time 0.87 
## initial  value 188.534749 
## iter  20 value 2.833500
## iter  40 value 2.449102
## iter  60 value 2.270292
## iter  80 value 2.235847
## iter 100 value 2.234868
## iter 120 value 2.234594
## final  value 2.234578 
## converged
## initial  value 195.953470 
## iter  20 value 4.219663
## iter  40 value 2.690943
## iter  60 value 2.269909
## iter  80 value 2.162079
## iter 100 value 2.155137
## iter 120 value 2.140530
## iter 140 value 2.029843
## iter 160 value 2.013567
## iter 180 value 2.013281
## iter 200 value 1.991415
## final  value 1.991415 
## stopped after 200 iterations
## initial  value 203.386810 
## iter  20 value 2.767333
## iter  40 value 2.194474
## iter  60 value 2.180555
## iter  80 value 2.176180
## final  value 2.176142 
## converged
## initial  value 140.611186 
## iter  20 value 3.497330
## iter  40 value 2.364838
## iter  60 value 2.267775
## iter  80 value 2.183217
## iter 100 value 2.181233
## iter 120 value 2.177690
## iter 140 value 2.176320
## iter 160 value 2.176142
## final  value 2.176142 
## converged
## initial  value 166.654131 
## iter  20 value 4.464726
## iter  40 value 2.450097
## iter  60 value 2.406562
## iter  80 value 2.336085
## iter 100 value 2.212217
## iter 120 value 2.181809
## iter 140 value 2.179153
## iter 160 value 2.177001
## iter 180 value 2.176143
## final  value 2.176142 
## converged
## validann ann BFGS i 10 summary statistics 3.3381 11.1429 2.3052 13.0924 time 0.81 
## initial  value 201.783312 
## iter  20 value 3.403225
## iter  40 value 2.499060
## iter  60 value 2.372871
## iter  80 value 2.356539
## final  value 2.356528 
## converged
## initial  value 267.524212 
## iter  20 value 3.866059
## iter  40 value 2.175101
## iter  60 value 2.069595
## iter  80 value 2.003602
## iter 100 value 1.992734
## iter 120 value 1.983059
## iter 140 value 1.977951
## iter 160 value 1.977016
## iter 180 value 1.974602
## iter 200 value 1.974396
## final  value 1.974396 
## stopped after 200 iterations
## initial  value 196.662968 
## iter  20 value 5.063353
## iter  40 value 2.594348
## iter  60 value 2.347036
## iter  80 value 2.207165
## iter 100 value 2.144183
## iter 120 value 2.120724
## iter 140 value 2.079687
## iter 160 value 2.069560
## iter 180 value 2.053477
## iter 200 value 2.046105
## final  value 2.046105 
## stopped after 200 iterations
## initial  value 98.460938 
## iter  20 value 3.067162
## iter  40 value 2.536931
## iter  60 value 2.527140
## iter  80 value 2.524065
## final  value 2.524043 
## converged
## initial  value 110.988915 
## iter  20 value 3.366617
## iter  40 value 2.180683
## iter  60 value 2.107794
## iter  80 value 2.035497
## iter 100 value 2.006035
## iter 120 value 1.987135
## iter 140 value 1.979486
## iter 160 value 1.978015
## iter 180 value 1.975067
## iter 200 value 1.974822
## final  value 1.974822 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 3.1799 10.112 2.2337 13.53 time 0.89 
## initial  value 211.649021 
## iter  20 value 3.950248
## iter  40 value 3.269055
## iter  60 value 3.186970
## iter  80 value 3.167204
## iter 100 value 3.162057
## iter 120 value 3.157698
## iter 140 value 3.154509
## iter 160 value 3.153808
## iter 180 value 3.152185
## iter 200 value 3.152074
## final  value 3.152074 
## stopped after 200 iterations
## initial  value 125.729476 
## iter  20 value 3.663392
## iter  40 value 2.710617
## iter  60 value 2.421701
## iter  80 value 2.343931
## iter 100 value 2.265967
## iter 120 value 2.251899
## iter 140 value 2.251750
## iter 160 value 2.251711
## final  value 2.251619 
## converged
## initial  value 173.438379 
## iter  20 value 4.602264
## iter  40 value 3.018562
## iter  60 value 2.551140
## iter  80 value 2.488647
## iter 100 value 2.467883
## iter 120 value 2.453345
## iter 140 value 2.429981
## iter 160 value 2.421260
## iter 180 value 2.403975
## iter 200 value 2.397904
## final  value 2.397904 
## stopped after 200 iterations
## initial  value 146.706211 
## iter  20 value 4.448531
## iter  40 value 2.825821
## iter  60 value 2.763089
## iter  80 value 2.699919
## iter 100 value 2.675903
## iter 120 value 2.646123
## iter 140 value 2.623031
## iter 160 value 2.591559
## iter 180 value 2.571690
## iter 200 value 2.561654
## final  value 2.561654 
## stopped after 200 iterations
## initial  value 168.269180 
## iter  20 value 4.402175
## iter  40 value 3.291798
## iter  60 value 2.263046
## iter  80 value 2.132806
## iter 100 value 2.112579
## iter 120 value 2.094248
## iter 140 value 2.093173
## iter 160 value 2.092913
## final  value 2.092913 
## converged
## validann ann BFGS i 20 summary statistics 3.2736 10.7167 2.2964 14.6791 time 0.72

## 
## ________________________________________________________________________________ 
## ***   mRef153_validann::ann_L-BFGS-B ***
## iter   20 value 3.313875
## iter   40 value 2.757808
## iter   60 value 2.623897
## iter   80 value 2.565187
## iter  100 value 2.538363
## iter  120 value 2.517743
## iter  140 value 2.512144
## iter  160 value 2.504329
## iter  180 value 2.499866
## iter  200 value 2.496488
## final  value 2.496324 
## stopped after 201 iterations
## iter   20 value 3.875241
## iter   40 value 3.056446
## iter   60 value 2.577696
## iter   80 value 2.203411
## iter  100 value 2.047233
## iter  120 value 1.958431
## iter  140 value 1.915843
## iter  160 value 1.898411
## iter  180 value 1.893559
## iter  200 value 1.883522
## final  value 1.883427 
## stopped after 201 iterations
## iter   20 value 3.531614
## iter   40 value 2.765328
## iter   60 value 2.622180
## iter   80 value 2.549429
## iter  100 value 2.527263
## iter  120 value 2.509815
## iter  140 value 2.504387
## iter  160 value 2.500422
## iter  180 value 2.497061
## iter  200 value 2.491799
## final  value 2.491703 
## stopped after 201 iterations
## iter   20 value 3.836585
## iter   40 value 3.165460
## iter   60 value 2.906296
## iter   80 value 2.881877
## iter  100 value 2.867123
## iter  120 value 2.859943
## iter  140 value 2.857102
## iter  160 value 2.854616
## iter  180 value 2.852940
## iter  200 value 2.851027
## final  value 2.850969 
## stopped after 201 iterations
## iter   20 value 3.222385
## iter   40 value 2.531548
## iter   60 value 2.196637
## iter   80 value 2.134528
## iter  100 value 2.097746
## iter  120 value 2.075915
## iter  140 value 2.054563
## iter  160 value 2.036071
## iter  180 value 2.019603
## iter  200 value 2.009312
## final  value 2.008567 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 3.207 10.2848 2.2418 14.1348 time 0.95 
## iter   20 value 3.365992
## iter   40 value 2.892077
## iter   60 value 2.741140
## iter   80 value 2.599744
## iter  100 value 2.552948
## iter  120 value 2.534464
## iter  140 value 2.518205
## iter  160 value 2.509165
## iter  180 value 2.505849
## iter  200 value 2.498180
## final  value 2.497782 
## stopped after 201 iterations
## iter   20 value 3.639928
## iter   40 value 3.387679
## iter   60 value 3.346408
## iter   80 value 3.242460
## iter  100 value 2.987880
## iter  120 value 2.855011
## iter  140 value 2.715469
## iter  160 value 2.593690
## iter  180 value 2.547714
## iter  200 value 2.527336
## final  value 2.526903 
## stopped after 201 iterations
## iter   20 value 3.619281
## iter   40 value 3.296909
## iter   60 value 3.077651
## iter   80 value 3.004362
## iter  100 value 2.931660
## iter  120 value 2.851246
## iter  140 value 2.820301
## iter  160 value 2.796210
## iter  180 value 2.772104
## iter  200 value 2.718538
## final  value 2.714440 
## stopped after 201 iterations
## iter   20 value 3.257063
## iter   40 value 2.475589
## iter   60 value 2.198642
## iter   80 value 2.144691
## iter  100 value 2.130633
## iter  120 value 2.114757
## iter  140 value 2.090939
## iter  160 value 2.061436
## iter  180 value 2.040125
## iter  200 value 2.027956
## final  value 2.027368 
## stopped after 201 iterations
## iter   20 value 3.243703
## iter   40 value 2.396329
## iter   60 value 2.142844
## iter   80 value 2.102343
## iter  100 value 2.093355
## iter  120 value 2.082142
## iter  140 value 2.070857
## iter  160 value 2.059838
## iter  180 value 2.056221
## iter  200 value 2.054001
## final  value 2.053940 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 3.243 10.5172 2.1981 14.3862 time 0.94 
## iter   20 value 3.205330
## iter   40 value 2.636821
## iter   60 value 2.468782
## iter   80 value 2.409403
## iter  100 value 2.364487
## iter  120 value 2.354317
## iter  140 value 2.348967
## iter  160 value 2.344120
## iter  180 value 2.312437
## iter  200 value 2.282819
## final  value 2.281819 
## stopped after 201 iterations
## iter   20 value 2.965635
## iter   40 value 2.675007
## iter   60 value 2.354609
## iter   80 value 2.168677
## iter  100 value 2.141697
## iter  120 value 2.125781
## iter  140 value 2.080076
## iter  160 value 2.059114
## iter  180 value 2.038574
## iter  200 value 2.024454
## final  value 2.023348 
## stopped after 201 iterations
## iter   20 value 3.490650
## iter   40 value 3.116554
## iter   60 value 2.981455
## iter   80 value 2.909861
## iter  100 value 2.868967
## iter  120 value 2.814343
## iter  140 value 2.766777
## iter  160 value 2.742555
## iter  180 value 2.735840
## iter  200 value 2.729819
## final  value 2.729605 
## stopped after 201 iterations
## iter   20 value 3.603455
## iter   40 value 3.282168
## iter   60 value 2.771793
## iter   80 value 2.585011
## iter  100 value 2.543757
## iter  120 value 2.518781
## iter  140 value 2.509760
## iter  160 value 2.502478
## iter  180 value 2.501210
## iter  200 value 2.498508
## final  value 2.498334 
## stopped after 201 iterations
## iter   20 value 3.457034
## iter   40 value 2.804051
## iter   60 value 2.654393
## iter   80 value 2.533081
## iter  100 value 2.510521
## iter  120 value 2.502693
## iter  140 value 2.500452
## iter  160 value 2.497768
## iter  180 value 2.495494
## iter  200 value 2.492828
## final  value 2.492745 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 3.5727 12.7641 2.6665 14.9103 time 0.89 
## iter   20 value 3.380652
## iter   40 value 2.786750
## iter   60 value 2.593805
## iter   80 value 2.530952
## iter  100 value 2.515228
## iter  120 value 2.510485
## iter  140 value 2.507614
## iter  160 value 2.500159
## iter  180 value 2.493581
## iter  200 value 2.491427
## final  value 2.491362 
## stopped after 201 iterations
## iter   20 value 4.123067
## iter   40 value 3.184311
## iter   60 value 2.636557
## iter   80 value 2.381323
## iter  100 value 2.248286
## iter  120 value 2.199739
## iter  140 value 2.186318
## iter  160 value 2.182012
## iter  180 value 2.179392
## iter  200 value 2.177850
## final  value 2.177823 
## stopped after 201 iterations
## iter   20 value 3.468028
## iter   40 value 3.080248
## iter   60 value 2.589917
## iter   80 value 2.496231
## iter  100 value 2.466755
## iter  120 value 2.450573
## iter  140 value 2.440022
## iter  160 value 2.392735
## iter  180 value 2.254159
## iter  200 value 2.209038
## final  value 2.208094 
## stopped after 201 iterations
## iter   20 value 3.633123
## iter   40 value 2.697546
## iter   60 value 2.335877
## iter   80 value 2.217085
## iter  100 value 2.196757
## iter  120 value 2.185360
## iter  140 value 2.183395
## iter  160 value 2.181739
## iter  180 value 2.180320
## iter  200 value 2.179145
## final  value 2.179027 
## stopped after 201 iterations
## iter   20 value 3.311525
## iter   40 value 2.844990
## iter   60 value 2.528480
## iter   80 value 2.414970
## iter  100 value 2.328134
## iter  120 value 2.293393
## iter  140 value 2.251571
## iter  160 value 2.203535
## iter  180 value 2.107280
## iter  200 value 1.944881
## final  value 1.944001 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 3.155 9.9542 2.1962 13.4268 time 0.95

## 
## ________________________________________________________________________________ 
## ***   uDmod1_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 0      alpha= 34.1515      beta= 0.51 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 0      alpha= 29.0204      beta= 0.51 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5606    alpha= 0.0242   beta= 58.6801 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5652    alpha= 0.0243   beta= 58.5974 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5664    alpha= 0.0243   beta= 58.5845 
## brnn brnn gaussNewton i 5 summary statistics 0.0451 0.002 0.0364 0.1168 time 0 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5654    alpha= 0.0243   beta= 58.5844 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5607    alpha= 0.0242   beta= 58.6798 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5653    alpha= 0.0243   beta= 58.5869 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5657    alpha= 0.0243   beta= 58.5778 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 0      alpha= 30.1509      beta= 0.51 
## brnn brnn gaussNewton i 10 summary statistics 0.5884 0.3462 0.5069 1.0104 time 0.02 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5609    alpha= 0.0242   beta= 58.6787 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5631    alpha= 0.0242   beta= 58.6653 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5655    alpha= 0.0243   beta= 58.5854 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5607    alpha= 0.0242   beta= 58.6795 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 0      alpha= 28.25    beta= 0.51 
## brnn brnn gaussNewton i 15 summary statistics 0.5884 0.3462 0.5069 1.0104 time 0 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.561     alpha= 0.0242   beta= 58.6783 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 0      alpha= 58.5209      beta= 0.51 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5608    alpha= 0.0242   beta= 58.6798 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 15.6208    alpha= 0.0201   beta= 56.0609 
## Number of parameters (weights and biases) to estimate: 18 
## Nguyen-Widrow method
## Scaling factor= 4.2 
## gamma= 16.5652    alpha= 0.0243   beta= 58.5825 
## brnn brnn gaussNewton i 20 summary statistics 0.0451 0.002 0.0364 0.1167 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uDmod1_CaDENCE::cadence.fit_optim ***
## n.hidden = 6 --> 1 * NLL = -24.88575 ; penalty = 0; BIC = 52.45596 ; AICc = 60.72849 ; AIC = 2.228492
## n.hidden = 6 --> 1 * NLL = -48.08681 ; penalty = 0; BIC = 6.053843 ; AICc = 14.32638 ; AIC = -44.17362
## n.hidden = 6 --> 1 * NLL = -45.13211 ; penalty = 0; BIC = 11.96326 ; AICc = 20.23579 ; AIC = -38.26421
## n.hidden = 6 --> 1 * NLL = -50.7418 ; penalty = 0; BIC = 0.7438761 ; AICc = 9.01641 ; AIC = -49.48359
## n.hidden = 6 --> 1 * NLL = -34.89961 ; penalty = 0; BIC = 32.42825 ; AICc = 40.70078 ; AIC = -17.79922
## CaDENCE cadence.fit optim i 5 summary statistics 0.2515 0.0633 0.1175 1.0612 time 3 
## n.hidden = 6 --> 1 * NLL = -41.62793 ; penalty = 0; BIC = 18.97161 ; AICc = 27.24414 ; AIC = -31.25586
## n.hidden = 6 --> 1 * NLL = -69.0978 ; penalty = 0; BIC = -35.96814 ; AICc = -27.6956 ; AIC = -86.1956
## n.hidden = 6 --> 1 * NLL = -27.54008 ; penalty = 0; BIC = 47.14732 ; AICc = 55.41985 ; AIC = -3.08015
## n.hidden = 6 --> 1 * NLL = -17.02702 ; penalty = 0; BIC = 68.17342 ; AICc = 76.44595 ; AIC = 17.94595
## n.hidden = 6 --> 1 * NLL = -44.80242 ; penalty = 0; BIC = 12.62262 ; AICc = 20.89516 ; AIC = -37.60484
## CaDENCE cadence.fit optim i 10 summary statistics 0.1619 0.0262 0.0878 0.7478 time 2.64 
## n.hidden = 6 --> 1 * NLL = -31.59806 ; penalty = 0; BIC = 39.03135 ; AICc = 47.30388 ; AIC = -11.19612
## n.hidden = 6 --> 1 * NLL = -7.367879 ; penalty = 0; BIC = 87.49171 ; AICc = 95.76424 ; AIC = 37.26424
## n.hidden = 6 --> 1 * NLL = -36.23486 ; penalty = 0; BIC = 29.75775 ; AICc = 38.03028 ; AIC = -20.46972
## n.hidden = 6 --> 1 * NLL = 7.961892 ; penalty = 0; BIC = 118.1512 ; AICc = 126.4238 ; AIC = 67.92378
## n.hidden = 6 --> 1 * NLL = -40.75285 ; penalty = 0; BIC = 20.72176 ; AICc = 28.9943 ; AIC = -29.5057
## CaDENCE cadence.fit optim i 15 summary statistics 0.1457 0.0212 0.0793 0.6902 time 2.5 
## n.hidden = 6 --> 1 * NLL = -57.87136 ; penalty = 0; BIC = -13.51525 ; AICc = -5.242712 ; AIC = -63.74271
## n.hidden = 6 --> 1 * NLL = -22.09694 ; penalty = 0; BIC = 58.03359 ; AICc = 66.30612 ; AIC = 7.806122
## n.hidden = 6 --> 1 * NLL = -31.54708 ; penalty = 0; BIC = 39.13331 ; AICc = 47.40585 ; AIC = -11.09415
## n.hidden = 6 --> 1 * NLL = -40.82764 ; penalty = 0; BIC = 20.57218 ; AICc = 28.84472 ; AIC = -29.65528
## n.hidden = 6 --> 1 * NLL = -34.93101 ; penalty = 0; BIC = 32.36545 ; AICc = 40.63798 ; AIC = -17.86202
## CaDENCE cadence.fit optim i 20 summary statistics 0.1469 0.0216 0.0987 0.4319 time 2.68

## 
## ________________________________________________________________________________ 
## ***   uDmod1_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 0.1095 0.012 0.0778 0.4137 time 0.01 
## MachineShop fit none i 10 summary statistics 0.0451 0.002 0.0364 0.1048 time 0.02 
## MachineShop fit none i 15 summary statistics 0.0612 0.0037 0.0477 0.203 time 0.02 
## MachineShop fit none i 20 summary statistics 0.1193 0.0142 0.0793 0.4916 time 0.01

## 
## ________________________________________________________________________________ 
## ***   uDmod1_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 0.0689 0.0048 0.0535 0.235 time 0.03 
## minpack.lm nlsLM none i 10 summary statistics 0.0433 0.0019 0.0349 0.1063 time 0.03 
## minpack.lm nlsLM none i 15 summary statistics 0.043 0.0018 0.0344 0.1095 time 0.06 
## minpack.lm nlsLM none i 20 summary statistics 0.0722 0.0052 0.0585 0.1785 time 0.03

## 
## ________________________________________________________________________________ 
## ***   uDmod1_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 0.1246 0.0155 0.0957 0.3565 time 0.22 
## monmlp monmlp.fit BFGS i 10 summary statistics 0.1204 0.0145 0.0896 0.4461 time 0.21 
## monmlp monmlp.fit BFGS i 15 summary statistics 0.1048 0.011 0.0891 0.3096 time 0.19 
## monmlp monmlp.fit BFGS i 20 summary statistics 0.0821 0.0067 0.0673 0.2834 time 0.25

## 
## ________________________________________________________________________________ 
## ***   uDmod1_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## nlsr nlxb none i 5 summary statistics 0.0579 0.0034 0.0443 0.1721 time 0.09 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## nlsr nlxb none i 10 summary statistics 0.0461 0.0021 0.0364 0.1189 time 0.09 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## nlsr nlxb none i 15 summary statistics 0.0441 0.0019 0.0362 0.1021 time 0.09 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16" "b17" "b18" "b19"
## no weights
## nlsr nlxb none i 20 summary statistics 0.1119 0.0125 0.0833 0.3146 time 0.09

## 
## ________________________________________________________________________________ 
## ***   uDmod1_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 0.1132 0.0128 0.0718 0.4881 time 0 
## nnet nnet none i 10 summary statistics 0.0863 0.0074 0.0627 0.3317 time 0.02 
## nnet nnet none i 15 summary statistics 0.0435 0.0019 0.0354 0.1248 time 0.02 
## nnet nnet none i 20 summary statistics 0.1122 0.0126 0.0687 0.4884 time 0

## 
## ________________________________________________________________________________ 
## ***   uDmod1_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 0.0535 0.0029 0.036 0.1663 time 0.41 
## qrnn qrnn.fit none i 10 summary statistics 0.1227 0.015 0.0768 0.5214 time 0.61 
## qrnn qrnn.fit none i 15 summary statistics 0.1401 0.0196 0.0903 0.5168 time 0.14 
## qrnn qrnn.fit none i 20 summary statistics 0.1553 0.0241 0.1102 0.4551 time 0.24

## 
## ________________________________________________________________________________ 
## ***   uDmod1_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 0.057 0.0033 0.0465 0.1523 time 0.03 
## radiant.model nn none i 10 summary statistics 0.0769 0.0059 0.06 0.2466 time 0.02 
## radiant.model nn none i 15 summary statistics 0.1508 0.0227 0.102 0.6172 time 0.05 
## radiant.model nn none i 20 summary statistics 0.1089 0.0119 0.0762 0.4279 time 0.03

## 
## ________________________________________________________________________________ 
## ***   uDmod1_rminer::fit_none ***
## rminer fit none i 5 summary statistics 0.0534 0.0029 0.0439 0.1088 time 0 
## rminer fit none i 10 summary statistics 0.0445 0.002 0.0364 0.1156 time 0.01 
## rminer fit none i 15 summary statistics 0.0458 0.0021 0.0377 0.1018 time 0.03 
## rminer fit none i 20 summary statistics 0.0798 0.0064 0.0582 0.2828 time 0.03

## 
## ________________________________________________________________________________ 
## ***   uDmod1_validann::ann_BFGS ***
## initial  value 50.605062 
## iter  20 value 14.536410
## iter  40 value 4.235065
## iter  60 value 2.716399
## iter  80 value 0.930805
## iter 100 value 0.478238
## iter 120 value 0.353499
## iter 140 value 0.312879
## iter 160 value 0.304185
## iter 180 value 0.302656
## iter 200 value 0.297357
## final  value 0.297357 
## stopped after 200 iterations
## initial  value 61.773254 
## iter  20 value 8.423978
## iter  40 value 2.842451
## iter  60 value 1.761869
## iter  80 value 0.520736
## iter 100 value 0.418180
## iter 120 value 0.340179
## iter 140 value 0.329011
## iter 160 value 0.321827
## iter 180 value 0.317007
## iter 200 value 0.314373
## final  value 0.314373 
## stopped after 200 iterations
## initial  value 56.991619 
## iter  20 value 9.948172
## iter  40 value 2.812370
## iter  60 value 1.959596
## iter  80 value 1.861562
## iter 100 value 1.812437
## iter 120 value 1.746635
## iter 140 value 1.691379
## iter 160 value 1.469416
## iter 180 value 1.087604
## iter 200 value 0.922562
## final  value 0.922562 
## stopped after 200 iterations
## initial  value 49.578807 
## iter  20 value 15.727642
## iter  40 value 9.774188
## iter  60 value 5.900893
## iter  80 value 3.642869
## iter 100 value 3.145122
## iter 120 value 2.229385
## iter 140 value 1.932582
## iter 160 value 1.782903
## iter 180 value 1.757624
## iter 200 value 1.715555
## final  value 1.715555 
## stopped after 200 iterations
## initial  value 52.868620 
## iter  20 value 13.570223
## iter  40 value 3.924072
## iter  60 value 2.093986
## iter  80 value 1.924245
## iter 100 value 1.903869
## iter 120 value 1.891190
## iter 140 value 1.877535
## iter 160 value 1.820811
## iter 180 value 1.796921
## iter 200 value 1.772493
## final  value 1.772493 
## stopped after 200 iterations
## validann ann BFGS i 5 summary statistics 0.1108 0.0123 0.0705 0.5086 time 0.72 
## initial  value 58.140015 
## iter  20 value 11.567921
## iter  40 value 6.189123
## iter  60 value 2.565931
## iter  80 value 2.061138
## iter 100 value 1.479493
## iter 120 value 1.337562
## iter 140 value 1.218580
## iter 160 value 1.130701
## iter 180 value 1.085639
## iter 200 value 1.031374
## final  value 1.031374 
## stopped after 200 iterations
## initial  value 49.327516 
## iter  20 value 12.367230
## iter  40 value 9.196038
## iter  60 value 2.489655
## iter  80 value 1.860278
## iter 100 value 1.777853
## iter 120 value 1.763886
## iter 140 value 1.763798
## final  value 1.763664 
## converged
## initial  value 54.862720 
## iter  20 value 10.326403
## iter  40 value 2.842141
## iter  60 value 2.095670
## iter  80 value 1.570073
## iter 100 value 1.422960
## iter 120 value 0.874418
## iter 140 value 0.554166
## iter 160 value 0.357696
## iter 180 value 0.329174
## iter 200 value 0.287173
## final  value 0.287173 
## stopped after 200 iterations
## initial  value 52.526733 
## iter  20 value 15.133399
## iter  40 value 5.287682
## iter  60 value 3.599254
## iter  80 value 0.598547
## iter 100 value 0.420222
## iter 120 value 0.291607
## iter 140 value 0.281393
## iter 160 value 0.274899
## iter 180 value 0.273448
## iter 200 value 0.271844
## final  value 0.271844 
## stopped after 200 iterations
## initial  value 54.394787 
## iter  20 value 18.803388
## iter  40 value 8.714750
## iter  60 value 3.401143
## iter  80 value 2.097485
## iter 100 value 1.535717
## iter 120 value 1.147160
## iter 140 value 1.064999
## iter 160 value 0.994987
## iter 180 value 0.973922
## iter 200 value 0.953227
## final  value 0.953227 
## stopped after 200 iterations
## validann ann BFGS i 10 summary statistics 0.0812 0.0066 0.0595 0.27 time 0.75 
## initial  value 50.082532 
## iter  20 value 11.417359
## iter  40 value 4.716972
## iter  60 value 3.822018
## iter  80 value 2.981876
## iter 100 value 2.177853
## iter 120 value 1.817516
## iter 140 value 1.803087
## iter 160 value 1.795140
## iter 180 value 1.791783
## iter 200 value 1.787620
## final  value 1.787620 
## stopped after 200 iterations
## initial  value 55.125277 
## iter  20 value 9.892535
## iter  40 value 4.609921
## iter  60 value 3.992408
## iter  80 value 3.700400
## iter 100 value 2.678814
## iter 120 value 1.945602
## iter 140 value 1.925213
## iter 160 value 1.921656
## iter 180 value 1.921480
## iter 200 value 1.917997
## final  value 1.917997 
## stopped after 200 iterations
## initial  value 68.840959 
## iter  20 value 17.731088
## iter  40 value 7.165232
## iter  60 value 3.082337
## iter  80 value 2.620202
## iter 100 value 1.946840
## iter 120 value 1.143440
## iter 140 value 0.578783
## iter 160 value 0.524572
## iter 180 value 0.522264
## iter 200 value 0.519092
## final  value 0.519092 
## stopped after 200 iterations
## initial  value 57.218648 
## iter  20 value 12.393722
## iter  40 value 3.217909
## iter  60 value 2.210381
## iter  80 value 2.036580
## iter 100 value 1.919656
## iter 120 value 1.899910
## iter 140 value 1.896629
## iter 160 value 1.884451
## iter 180 value 1.837820
## iter 200 value 1.753711
## final  value 1.753711 
## stopped after 200 iterations
## initial  value 59.554725 
## iter  20 value 13.839931
## iter  40 value 3.994697
## iter  60 value 1.857527
## iter  80 value 0.583408
## iter 100 value 0.389841
## iter 120 value 0.326093
## iter 140 value 0.307091
## iter 160 value 0.283955
## iter 180 value 0.279921
## iter 200 value 0.275194
## final  value 0.275194 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 0.0437 0.0019 0.0357 0.1154 time 0.7 
## initial  value 79.209217 
## iter  20 value 11.056327
## iter  40 value 2.424569
## iter  60 value 1.937603
## iter  80 value 1.903932
## iter 100 value 1.901423
## iter 120 value 1.898262
## iter 140 value 1.896859
## iter 160 value 1.894736
## iter 180 value 1.894453
## final  value 1.894404 
## converged
## initial  value 55.379786 
## iter  20 value 9.815512
## iter  40 value 4.201079
## iter  60 value 3.349975
## iter  80 value 2.236609
## iter 100 value 1.461531
## iter 120 value 1.214166
## iter 140 value 1.162133
## iter 160 value 1.077232
## iter 180 value 1.055447
## iter 200 value 1.036759
## final  value 1.036759 
## stopped after 200 iterations
## initial  value 59.024551 
## iter  20 value 18.466000
## iter  40 value 2.632991
## iter  60 value 2.237150
## iter  80 value 1.696560
## iter 100 value 1.565903
## iter 120 value 1.117345
## iter 140 value 0.632921
## iter 160 value 0.551844
## iter 180 value 0.544268
## iter 200 value 0.523137
## final  value 0.523137 
## stopped after 200 iterations
## initial  value 52.965438 
## iter  20 value 15.382436
## iter  40 value 5.033227
## iter  60 value 1.634532
## iter  80 value 0.414613
## iter 100 value 0.323845
## iter 120 value 0.304309
## iter 140 value 0.292658
## iter 160 value 0.289024
## iter 180 value 0.285242
## iter 200 value 0.283775
## final  value 0.283775 
## stopped after 200 iterations
## initial  value 77.262107 
## iter  20 value 18.938884
## iter  40 value 9.763032
## iter  60 value 5.304765
## iter  80 value 0.666209
## iter 100 value 0.544885
## iter 120 value 0.471680
## iter 140 value 0.457726
## iter 160 value 0.456483
## final  value 0.456479 
## converged
## validann ann BFGS i 20 summary statistics 0.0562 0.0032 0.0432 0.1661 time 0.58

## 
## ________________________________________________________________________________ 
## ***   uDmod1_validann::ann_L-BFGS-B ***
## iter   20 value 19.353174
## iter   40 value 8.539962
## iter   60 value 6.209050
## iter   80 value 3.237347
## iter  100 value 1.695693
## iter  120 value 1.152113
## iter  140 value 0.702253
## iter  160 value 0.632475
## iter  180 value 0.500768
## iter  200 value 0.403355
## final  value 0.402658 
## stopped after 201 iterations
## iter   20 value 13.920219
## iter   40 value 6.853084
## iter   60 value 5.134633
## iter   80 value 2.759380
## iter  100 value 1.545548
## iter  120 value 0.879339
## iter  140 value 0.665335
## iter  160 value 0.567099
## iter  180 value 0.510308
## iter  200 value 0.394926
## final  value 0.394692 
## stopped after 201 iterations
## iter   20 value 17.402208
## iter   40 value 6.453371
## iter   60 value 2.179457
## iter   80 value 1.934184
## iter  100 value 1.481517
## iter  120 value 0.845467
## iter  140 value 0.712231
## iter  160 value 0.591517
## iter  180 value 0.566605
## iter  200 value 0.524060
## final  value 0.523989 
## stopped after 201 iterations
## iter   20 value 18.322582
## iter   40 value 9.412717
## iter   60 value 4.516885
## iter   80 value 2.954824
## iter  100 value 2.788556
## iter  120 value 2.209770
## iter  140 value 2.054494
## iter  160 value 2.002262
## iter  180 value 1.972612
## iter  200 value 1.912935
## final  value 1.910936 
## stopped after 201 iterations
## iter   20 value 18.782212
## iter   40 value 6.826139
## iter   60 value 5.626735
## iter   80 value 4.903141
## iter  100 value 3.091299
## iter  120 value 2.823353
## iter  140 value 2.748450
## iter  160 value 2.377297
## iter  180 value 2.195337
## iter  200 value 2.083086
## final  value 2.076391 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 0.1199 0.0144 0.0881 0.4662 time 0.78 
## iter   20 value 15.713449
## iter   40 value 8.483121
## iter   60 value 5.704319
## iter   80 value 3.213999
## iter  100 value 2.313435
## iter  120 value 1.667542
## iter  140 value 1.148139
## iter  160 value 0.716661
## iter  180 value 0.557602
## iter  200 value 0.470604
## final  value 0.470463 
## stopped after 201 iterations
## iter   20 value 19.088792
## iter   40 value 9.547516
## iter   60 value 8.019468
## iter   80 value 6.033537
## iter  100 value 3.158052
## iter  120 value 2.868308
## iter  140 value 2.344139
## iter  160 value 1.985537
## iter  180 value 1.532470
## iter  200 value 1.020403
## final  value 1.014428 
## stopped after 201 iterations
## iter   20 value 16.406467
## iter   40 value 4.866317
## iter   60 value 2.961239
## iter   80 value 2.868738
## iter  100 value 2.739548
## iter  120 value 2.565610
## iter  140 value 2.328791
## iter  160 value 2.218751
## iter  180 value 2.080000
## iter  200 value 2.028769
## final  value 2.025802 
## stopped after 201 iterations
## iter   20 value 19.489405
## iter   40 value 8.451657
## iter   60 value 6.843780
## iter   80 value 4.501033
## iter  100 value 4.193753
## iter  120 value 3.949909
## iter  140 value 3.174423
## iter  160 value 2.850607
## iter  180 value 2.448345
## iter  200 value 2.414682
## final  value 2.412888 
## stopped after 201 iterations
## iter   20 value 12.902087
## iter   40 value 5.637221
## iter   60 value 3.005056
## iter   80 value 2.436770
## iter  100 value 2.250217
## iter  120 value 2.116073
## iter  140 value 2.052680
## iter  160 value 1.984499
## iter  180 value 1.979527
## iter  200 value 1.960128
## final  value 1.956329 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 0.1164 0.0135 0.0771 0.4984 time 0.8 
## iter   20 value 18.734054
## iter   40 value 6.372452
## iter   60 value 4.954115
## iter   80 value 3.054597
## iter  100 value 2.859621
## iter  120 value 2.681183
## iter  140 value 1.707211
## iter  160 value 1.530903
## iter  180 value 1.136985
## iter  200 value 0.642827
## final  value 0.638279 
## stopped after 201 iterations
## iter   20 value 17.736036
## iter   40 value 10.176404
## iter   60 value 7.374665
## iter   80 value 4.938617
## iter  100 value 3.511505
## iter  120 value 3.356683
## iter  140 value 3.106176
## iter  160 value 2.955146
## iter  180 value 2.753865
## iter  200 value 2.638143
## final  value 2.631676 
## stopped after 201 iterations
## iter   20 value 13.790214
## iter   40 value 8.405268
## iter   60 value 4.670511
## iter   80 value 2.544882
## iter  100 value 2.282069
## iter  120 value 2.160797
## iter  140 value 2.071798
## iter  160 value 1.950120
## iter  180 value 1.925941
## iter  200 value 1.913176
## final  value 1.912981 
## stopped after 201 iterations
## iter   20 value 17.986962
## iter   40 value 10.418783
## iter   60 value 7.284360
## iter   80 value 4.354992
## iter  100 value 4.002349
## iter  120 value 3.294038
## iter  140 value 1.394214
## iter  160 value 0.878741
## iter  180 value 0.787096
## iter  200 value 0.657165
## final  value 0.652729 
## stopped after 201 iterations
## iter   20 value 19.916455
## iter   40 value 9.565325
## iter   60 value 5.881009
## iter   80 value 3.679318
## iter  100 value 3.156748
## iter  120 value 3.020673
## iter  140 value 2.973799
## iter  160 value 2.919311
## iter  180 value 2.837070
## iter  200 value 2.590367
## final  value 2.572790 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 0.1335 0.0178 0.097 0.491 time 0.77 
## iter   20 value 19.822660
## iter   40 value 15.379977
## iter   60 value 9.142790
## iter   80 value 6.751846
## iter  100 value 4.593954
## iter  120 value 3.588166
## iter  140 value 3.206527
## iter  160 value 2.987776
## iter  180 value 2.917607
## iter  200 value 2.822399
## final  value 2.806014 
## stopped after 201 iterations
## iter   20 value 14.547127
## iter   40 value 7.970014
## iter   60 value 4.316494
## iter   80 value 3.026310
## iter  100 value 2.878757
## iter  120 value 2.603916
## iter  140 value 2.449512
## iter  160 value 2.315041
## iter  180 value 2.222892
## iter  200 value 2.135493
## final  value 2.133735 
## stopped after 201 iterations
## iter   20 value 21.022526
## iter   40 value 9.245495
## iter   60 value 8.582156
## iter   80 value 8.091324
## iter  100 value 5.430789
## iter  120 value 3.882321
## iter  140 value 2.352907
## iter  160 value 1.964811
## iter  180 value 1.672176
## iter  200 value 1.304322
## final  value 1.298233 
## stopped after 201 iterations
## iter   20 value 20.284809
## iter   40 value 17.142635
## iter   60 value 9.780966
## iter   80 value 7.096100
## iter  100 value 4.991467
## iter  120 value 3.438380
## iter  140 value 3.006228
## iter  160 value 2.129467
## iter  180 value 1.878593
## iter  200 value 1.742383
## final  value 1.734589 
## stopped after 201 iterations
## iter   20 value 8.829650
## iter   40 value 6.676793
## iter   60 value 4.950651
## iter   80 value 3.794133
## iter  100 value 3.131186
## iter  120 value 2.313836
## iter  140 value 2.200824
## iter  160 value 2.172079
## iter  180 value 2.135682
## iter  200 value 2.108615
## final  value 2.107660 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 0.1208 0.0146 0.0766 0.5155 time 0.78

## 
## ________________________________________________________________________________ 
## ***   uDmod2_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.453     alpha= 0.0206   beta= 26.4203 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.8571    alpha= 0.0301   beta= 52.6602 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.8576    alpha= 0.0301   beta= 52.6588 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.8589    alpha= 0.0301   beta= 52.6544 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.8575    alpha= 0.0301   beta= 52.6593 
## brnn brnn gaussNewton i 5 summary statistics 0.0435 0.0019 0.0346 0.1073 time 0.03 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 12.9013    alpha= 0.0271   beta= 23.0052 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.858     alpha= 0.0301   beta= 52.6574 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 12.7342    alpha= 0.0265   beta= 23.1628 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.8573    alpha= 0.0301   beta= 52.6596 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.8584    alpha= 0.0301   beta= 52.6561 
## brnn brnn gaussNewton i 10 summary statistics 0.0435 0.0019 0.0346 0.1073 time 0.02 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.857     alpha= 0.0301   beta= 52.6605 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.859     alpha= 0.0301   beta= 52.6543 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 12.0072    alpha= 0.0397   beta= 16.2077 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 12.898     alpha= 0.0271   beta= 23.0008 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.8575    alpha= 0.0301   beta= 52.6589 
## brnn brnn gaussNewton i 15 summary statistics 0.0435 0.0019 0.0346 0.1073 time 0.02 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 12.6857    alpha= 0.0263   beta= 23.227 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 12.8888    alpha= 0.0272   beta= 22.973 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 12.8575    alpha= 0.0269   beta= 23.0483 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.8577    alpha= 0.0301   beta= 52.6584 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 12.8064    alpha= 0.0266   beta= 23.1257 
## brnn brnn gaussNewton i 20 summary statistics 0.0665 0.0044 0.0535 0.1493 time 0.03

## 
## ________________________________________________________________________________ 
## ***   uDmod2_CaDENCE::cadence.fit_optim ***
## n.hidden = 5 --> 1 * NLL = -9.108294 ; penalty = 0; BIC = 68.28358 ; AICc = 61.92627 ; AIC = 25.78341
## n.hidden = 5 --> 1 * NLL = -29.36071 ; penalty = 0; BIC = 27.77875 ; AICc = 21.42144 ; AIC = -14.72141
## n.hidden = 5 --> 1 * NLL = -46.34667 ; penalty = 0; BIC = -6.193186 ; AICc = -12.55049 ; AIC = -48.69335
## n.hidden = 5 --> 1 * NLL = -39.9686 ; penalty = 0; BIC = 6.562955 ; AICc = 0.2056484 ; AIC = -35.93721
## n.hidden = 5 --> 1 * NLL = -54.50113 ; penalty = 0; BIC = -22.5021 ; AICc = -28.8594 ; AIC = -65.00226
## CaDENCE cadence.fit optim i 5 summary statistics 0.0766 0.0059 0.0549 0.2212 time 2.32 
## n.hidden = 5 --> 1 * NLL = -37.31526 ; penalty = 0; BIC = 11.86964 ; AICc = 5.512333 ; AIC = -30.63052
## n.hidden = 5 --> 1 * NLL = -61.38864 ; penalty = 0; BIC = -36.27713 ; AICc = -42.63443 ; AIC = -78.77729
## n.hidden = 5 --> 1 * NLL = -10.23273 ; penalty = 0; BIC = 66.03471 ; AICc = 59.6774 ; AIC = 23.53455
## n.hidden = 5 --> 1 * NLL = -41.12056 ; penalty = 0; BIC = 4.259049 ; AICc = -2.098258 ; AIC = -38.24111
## n.hidden = 5 --> 1 * NLL = -48.01639 ; penalty = 0; BIC = -9.53262 ; AICc = -15.88993 ; AIC = -52.03278
## CaDENCE cadence.fit optim i 10 summary statistics 0.0678 0.0046 0.0494 0.1789 time 2.29 
## n.hidden = 5 --> 1 * NLL = -32.33007 ; penalty = 0; BIC = 21.84003 ; AICc = 15.48273 ; AIC = -20.66013
## n.hidden = 5 --> 1 * NLL = -15.26309 ; penalty = 0; BIC = 55.97398 ; AICc = 49.61667 ; AIC = 13.47381
## n.hidden = 5 --> 1 * NLL = -53.40436 ; penalty = 0; BIC = -20.30855 ; AICc = -26.66585 ; AIC = -62.80871
## n.hidden = 5 --> 1 * NLL = -19.81323 ; penalty = 0; BIC = 46.8737 ; AICc = 40.51639 ; AIC = 4.373533
## n.hidden = 5 --> 1 * NLL = -44.55316 ; penalty = 0; BIC = -2.60615 ; AICc = -8.963456 ; AIC = -45.10631
## CaDENCE cadence.fit optim i 15 summary statistics 0.0868 0.0075 0.0595 0.2692 time 2.33 
## n.hidden = 5 --> 1 * NLL = -41.79861 ; penalty = 0; BIC = 2.902949 ; AICc = -3.454357 ; AIC = -39.59721
## n.hidden = 5 --> 1 * NLL = -40.54372 ; penalty = 0; BIC = 5.412728 ; AICc = -0.9445788 ; AIC = -37.08744
## n.hidden = 5 --> 1 * NLL = -43.17527 ; penalty = 0; BIC = 0.1496334 ; AICc = -6.207673 ; AIC = -42.35053
## n.hidden = 5 --> 1 * NLL = -41.66048 ; penalty = 0; BIC = 3.179206 ; AICc = -3.178101 ; AIC = -39.32096
## n.hidden = 5 --> 1 * NLL = -34.00591 ; penalty = 0; BIC = 18.48834 ; AICc = 12.13104 ; AIC = -24.01182
## CaDENCE cadence.fit optim i 20 summary statistics 0.1225 0.015 0.0806 0.4314 time 2.31

## 
## ________________________________________________________________________________ 
## ***   uDmod2_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 0.0615 0.0038 0.049 0.1405 time 0.02 
## MachineShop fit none i 10 summary statistics 0.0746 0.0056 0.0594 0.2139 time 0 
## MachineShop fit none i 15 summary statistics 0.0606 0.0037 0.0475 0.1351 time 0.02 
## MachineShop fit none i 20 summary statistics 0.0717 0.0051 0.0538 0.2165 time 0.01

## 
## ________________________________________________________________________________ 
## ***   uDmod2_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 0.0449 0.002 0.036 0.1169 time 0.03 
## minpack.lm nlsLM none i 10 summary statistics 0.0427 0.0018 0.0333 0.1058 time 0.01 
## minpack.lm nlsLM none i 15 summary statistics 0.0452 0.002 0.0363 0.118 time 0.05 
## minpack.lm nlsLM none i 20 summary statistics 0.0427 0.0018 0.0333 0.1058 time 0.01

## 
## ________________________________________________________________________________ 
## ***   uDmod2_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 0.0547 0.003 0.0462 0.1159 time 0.21 
## monmlp monmlp.fit BFGS i 10 summary statistics 0.0563 0.0032 0.0453 0.141 time 0.19 
## monmlp monmlp.fit BFGS i 15 summary statistics 0.07 0.0049 0.0555 0.1829 time 0.21 
## monmlp monmlp.fit BFGS i 20 summary statistics 0.0634 0.004 0.0511 0.1503 time 0.22

## 
## ________________________________________________________________________________ 
## ***   uDmod2_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## nlsr nlxb none i 5 summary statistics 0.0786 0.0062 0.0615 0.2236 time 0.08 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## nlsr nlxb none i 10 summary statistics 0.0427 0.0018 0.0331 0.1061 time 0.08 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## nlsr nlxb none i 15 summary statistics 0.0427 0.0018 0.0333 0.1058 time 0.05 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## nlsr nlxb none i 20 summary statistics 0.0514 0.0026 0.0416 0.1149 time 0.08

## 
## ________________________________________________________________________________ 
## ***   uDmod2_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 0.061 0.0037 0.049 0.1649 time 0 
## nnet nnet none i 10 summary statistics 0.0722 0.0052 0.0551 0.1943 time 0.01 
## nnet nnet none i 15 summary statistics 0.0602 0.0036 0.0486 0.1221 time 0.02 
## nnet nnet none i 20 summary statistics 0.1231 0.0152 0.0947 0.3155 time 0

## 
## ________________________________________________________________________________ 
## ***   uDmod2_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 0.0863 0.0074 0.0584 0.2552 time 0.15 
## qrnn qrnn.fit none i 10 summary statistics 0.1124 0.0126 0.0853 0.2858 time 0.28 
## qrnn qrnn.fit none i 15 summary statistics 0.1024 0.0105 0.0781 0.3015 time 0.16 
## qrnn qrnn.fit none i 20 summary statistics 0.1976 0.039 0.1402 0.5224 time 0.14

## 
## ________________________________________________________________________________ 
## ***   uDmod2_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 0.1458 0.0213 0.1115 0.423 time 0.02 
## radiant.model nn none i 10 summary statistics 0.0779 0.0061 0.0604 0.2224 time 0.02 
## radiant.model nn none i 15 summary statistics 0.0762 0.0058 0.0648 0.207 time 0.03 
## radiant.model nn none i 20 summary statistics 0.0965 0.0093 0.0753 0.2577 time 0.04

## 
## ________________________________________________________________________________ 
## ***   uDmod2_rminer::fit_none ***
## rminer fit none i 5 summary statistics 0.0614 0.0038 0.0482 0.1392 time 0.02 
## rminer fit none i 10 summary statistics 0.0428 0.0018 0.033 0.1062 time 0.02 
## rminer fit none i 15 summary statistics 0.0428 0.0018 0.0331 0.106 time 0.04 
## rminer fit none i 20 summary statistics 0.0589 0.0035 0.0467 0.131 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uDmod2_validann::ann_BFGS ***
## initial  value 43.518902 
## iter  20 value 10.334403
## iter  40 value 5.173817
## iter  60 value 3.967449
## iter  80 value 2.787361
## iter 100 value 2.349189
## iter 120 value 1.997217
## iter 140 value 1.929990
## iter 160 value 1.887473
## iter 180 value 1.840914
## iter 200 value 1.814120
## final  value 1.814120 
## stopped after 200 iterations
## initial  value 42.090638 
## iter  20 value 11.811780
## iter  40 value 7.986993
## iter  60 value 2.053474
## iter  80 value 1.239201
## iter 100 value 0.987527
## iter 120 value 0.784896
## iter 140 value 0.756844
## iter 160 value 0.709562
## iter 180 value 0.672078
## iter 200 value 0.483128
## final  value 0.483128 
## stopped after 200 iterations
## initial  value 46.989530 
## iter  20 value 9.910176
## iter  40 value 3.403414
## iter  60 value 0.931478
## iter  80 value 0.791018
## iter 100 value 0.710153
## iter 120 value 0.704861
## iter 140 value 0.703019
## iter 160 value 0.700895
## iter 180 value 0.698491
## iter 200 value 0.692037
## final  value 0.692037 
## stopped after 200 iterations
## initial  value 47.043666 
## iter  20 value 18.302239
## iter  40 value 7.726850
## iter  60 value 1.017121
## iter  80 value 0.875459
## iter 100 value 0.716550
## iter 120 value 0.684195
## iter 140 value 0.681584
## iter 160 value 0.679605
## iter 180 value 0.679468
## iter 200 value 0.679178
## final  value 0.679178 
## stopped after 200 iterations
## initial  value 83.166566 
## iter  20 value 16.476781
## iter  40 value 6.824058
## iter  60 value 2.512412
## iter  80 value 1.434484
## iter 100 value 1.285903
## iter 120 value 0.864023
## iter 140 value 0.788956
## iter 160 value 0.787246
## iter 180 value 0.787201
## final  value 0.787190 
## converged
## validann ann BFGS i 5 summary statistics 0.0649 0.0042 0.0529 0.139 time 0.58 
## initial  value 52.651567 
## iter  20 value 11.523479
## iter  40 value 2.712586
## iter  60 value 1.279187
## iter  80 value 1.172521
## iter 100 value 1.101528
## iter 120 value 1.014816
## iter 140 value 0.905138
## iter 160 value 0.857306
## iter 180 value 0.829568
## iter 200 value 0.815940
## final  value 0.815940 
## stopped after 200 iterations
## initial  value 51.446859 
## iter  20 value 6.601526
## iter  40 value 1.823475
## iter  60 value 1.337343
## iter  80 value 1.042729
## iter 100 value 0.981196
## iter 120 value 0.969322
## iter 140 value 0.959248
## iter 160 value 0.956273
## iter 180 value 0.953239
## iter 200 value 0.950041
## final  value 0.950041 
## stopped after 200 iterations
## initial  value 50.169389 
## iter  20 value 16.544802
## iter  40 value 4.752630
## iter  60 value 1.636213
## iter  80 value 1.076097
## iter 100 value 0.805353
## iter 120 value 0.680602
## iter 140 value 0.615184
## iter 160 value 0.586666
## iter 180 value 0.566147
## iter 200 value 0.546984
## final  value 0.546984 
## stopped after 200 iterations
## initial  value 63.693214 
## iter  20 value 15.809074
## iter  40 value 2.853051
## iter  60 value 1.511309
## iter  80 value 1.153641
## iter 100 value 0.810766
## iter 120 value 0.660896
## iter 140 value 0.517316
## iter 160 value 0.459112
## iter 180 value 0.412508
## iter 200 value 0.371258
## final  value 0.371258 
## stopped after 200 iterations
## initial  value 74.362378 
## iter  20 value 14.139272
## iter  40 value 3.466589
## iter  60 value 1.606173
## iter  80 value 1.220199
## iter 100 value 0.849215
## iter 120 value 0.613318
## iter 140 value 0.515366
## iter 160 value 0.440637
## iter 180 value 0.398780
## iter 200 value 0.363807
## final  value 0.363807 
## stopped after 200 iterations
## validann ann BFGS i 10 summary statistics 0.0441 0.0019 0.0342 0.1055 time 0.6 
## initial  value 59.771864 
## iter  20 value 6.772142
## iter  40 value 2.652942
## iter  60 value 0.810245
## iter  80 value 0.518870
## iter 100 value 0.364918
## iter 120 value 0.344420
## iter 140 value 0.341244
## iter 160 value 0.341097
## iter 180 value 0.340897
## iter 200 value 0.340762
## final  value 0.340762 
## stopped after 200 iterations
## initial  value 54.848849 
## iter  20 value 14.814672
## iter  40 value 2.151350
## iter  60 value 1.158601
## iter  80 value 1.124651
## iter 100 value 1.105640
## iter 120 value 1.103333
## iter 140 value 1.099380
## iter 160 value 1.097662
## iter 180 value 1.097046
## iter 200 value 1.095899
## final  value 1.095899 
## stopped after 200 iterations
## initial  value 53.154753 
## iter  20 value 14.346768
## iter  40 value 4.853147
## iter  60 value 0.680981
## iter  80 value 0.409153
## iter 100 value 0.345841
## iter 120 value 0.342393
## iter 140 value 0.341821
## iter 160 value 0.341570
## iter 180 value 0.341490
## iter 200 value 0.341432
## final  value 0.341432 
## stopped after 200 iterations
## initial  value 57.069867 
## iter  20 value 18.947142
## iter  40 value 6.087897
## iter  60 value 3.206982
## iter  80 value 3.117891
## iter 100 value 2.963262
## iter 120 value 2.900658
## iter 140 value 2.872228
## iter 160 value 2.850273
## iter 180 value 2.842630
## iter 200 value 2.835726
## final  value 2.835726 
## stopped after 200 iterations
## initial  value 54.258200 
## iter  20 value 7.110608
## iter  40 value 5.349539
## iter  60 value 2.704134
## iter  80 value 2.176618
## iter 100 value 1.276113
## iter 120 value 0.863686
## iter 140 value 0.775675
## iter 160 value 0.715350
## iter 180 value 0.708819
## iter 200 value 0.690135
## final  value 0.690135 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 0.0608 0.0037 0.0485 0.1295 time 0.59 
## initial  value 63.112247 
## iter  20 value 11.082102
## iter  40 value 7.474100
## iter  60 value 3.185472
## iter  80 value 3.090226
## iter 100 value 2.963862
## iter 120 value 2.906785
## iter 140 value 2.891564
## iter 160 value 2.844135
## iter 180 value 2.838990
## iter 200 value 2.830444
## final  value 2.830444 
## stopped after 200 iterations
## initial  value 56.176995 
## iter  20 value 13.021712
## iter  40 value 3.109237
## iter  60 value 0.779883
## iter  80 value 0.708562
## iter 100 value 0.688952
## iter 120 value 0.685023
## iter 140 value 0.682037
## iter 160 value 0.681044
## iter 180 value 0.679488
## iter 200 value 0.679244
## final  value 0.679244 
## stopped after 200 iterations
## initial  value 56.169305 
## iter  20 value 7.970442
## iter  40 value 2.301301
## iter  60 value 0.525062
## iter  80 value 0.401599
## iter 100 value 0.312907
## iter 120 value 0.309725
## iter 140 value 0.309063
## iter 160 value 0.307285
## iter 180 value 0.305584
## iter 200 value 0.302893
## final  value 0.302893 
## stopped after 200 iterations
## initial  value 65.393887 
## iter  20 value 13.319620
## iter  40 value 2.899634
## iter  60 value 1.615655
## iter  80 value 1.460861
## iter 100 value 1.246407
## iter 120 value 1.082784
## iter 140 value 1.042137
## iter 160 value 1.027638
## iter 180 value 1.014964
## iter 200 value 1.006311
## final  value 1.006311 
## stopped after 200 iterations
## initial  value 55.495834 
## iter  20 value 15.547751
## iter  40 value 9.858420
## iter  60 value 5.264401
## iter  80 value 2.151665
## iter 100 value 1.330268
## iter 120 value 1.091248
## iter 140 value 0.935632
## iter 160 value 0.844494
## iter 180 value 0.812381
## iter 200 value 0.732464
## final  value 0.732464 
## stopped after 200 iterations
## validann ann BFGS i 20 summary statistics 0.0626 0.0039 0.0518 0.1596 time 0.58

## 
## ________________________________________________________________________________ 
## ***   uDmod2_validann::ann_L-BFGS-B ***
## iter   20 value 16.408811
## iter   40 value 8.341365
## iter   60 value 2.721697
## iter   80 value 1.579768
## iter  100 value 1.381116
## iter  120 value 1.226274
## iter  140 value 1.189820
## iter  160 value 1.046699
## iter  180 value 0.899385
## iter  200 value 0.804997
## final  value 0.804488 
## stopped after 201 iterations
## iter   20 value 16.537337
## iter   40 value 5.025521
## iter   60 value 1.768610
## iter   80 value 1.317662
## iter  100 value 0.993689
## iter  120 value 0.721411
## iter  140 value 0.593814
## iter  160 value 0.561029
## iter  180 value 0.527975
## iter  200 value 0.491355
## final  value 0.490407 
## stopped after 201 iterations
## iter   20 value 17.769969
## iter   40 value 7.896056
## iter   60 value 4.375048
## iter   80 value 2.121632
## iter  100 value 1.614820
## iter  120 value 1.546494
## iter  140 value 1.492732
## iter  160 value 1.418384
## iter  180 value 1.329643
## iter  200 value 1.272157
## final  value 1.270129 
## stopped after 201 iterations
## iter   20 value 19.573025
## iter   40 value 9.158959
## iter   60 value 6.186805
## iter   80 value 4.473666
## iter  100 value 3.916632
## iter  120 value 3.539764
## iter  140 value 2.684982
## iter  160 value 1.732527
## iter  180 value 1.025748
## iter  200 value 0.683639
## final  value 0.672612 
## stopped after 201 iterations
## iter   20 value 18.321631
## iter   40 value 10.532651
## iter   60 value 8.311398
## iter   80 value 7.822429
## iter  100 value 4.907774
## iter  120 value 2.518234
## iter  140 value 1.987785
## iter  160 value 1.434332
## iter  180 value 1.279026
## iter  200 value 1.211882
## final  value 1.211462 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 0.0806 0.0065 0.0664 0.1896 time 0.67 
## iter   20 value 15.564768
## iter   40 value 4.393879
## iter   60 value 2.013254
## iter   80 value 1.419406
## iter  100 value 1.351036
## iter  120 value 1.276818
## iter  140 value 1.253177
## iter  160 value 1.171888
## iter  180 value 1.028339
## iter  200 value 1.001496
## final  value 1.001009 
## stopped after 201 iterations
## iter   20 value 18.092265
## iter   40 value 14.249638
## iter   60 value 12.626558
## iter   80 value 11.222080
## iter  100 value 8.907638
## iter  120 value 8.661566
## iter  140 value 8.613019
## iter  160 value 8.519389
## iter  180 value 8.091297
## iter  200 value 7.243578
## final  value 7.115705 
## stopped after 201 iterations
## iter   20 value 13.872168
## iter   40 value 3.739694
## iter   60 value 3.009793
## iter   80 value 2.432805
## iter  100 value 2.000963
## iter  120 value 1.737324
## iter  140 value 1.625901
## iter  160 value 1.417048
## iter  180 value 1.147510
## iter  200 value 0.951248
## final  value 0.949443 
## stopped after 201 iterations
## iter   20 value 12.512675
## iter   40 value 5.910515
## iter   60 value 5.340765
## iter   80 value 5.021799
## iter  100 value 4.951375
## iter  120 value 4.923113
## iter  140 value 4.897364
## iter  160 value 4.836097
## iter  180 value 4.739171
## iter  200 value 4.693401
## final  value 4.691668 
## stopped after 201 iterations
## iter   20 value 19.205489
## iter   40 value 12.566956
## iter   60 value 2.741756
## iter   80 value 1.622560
## iter  100 value 1.495163
## iter  120 value 1.460699
## iter  140 value 1.417301
## iter  160 value 1.348031
## iter  180 value 1.331440
## iter  200 value 1.324241
## final  value 1.324015 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 0.0842 0.0071 0.069 0.2106 time 0.67 
## iter   20 value 18.149398
## iter   40 value 5.547339
## iter   60 value 2.403143
## iter   80 value 1.452239
## iter  100 value 1.428888
## iter  120 value 1.404731
## iter  140 value 1.284875
## iter  160 value 1.212449
## iter  180 value 1.185045
## iter  200 value 1.175941
## final  value 1.174506 
## stopped after 201 iterations
## iter   20 value 19.282947
## iter   40 value 16.888280
## iter   60 value 14.233165
## iter   80 value 13.964944
## iter  100 value 11.266994
## iter  120 value 9.467277
## iter  140 value 8.498950
## iter  160 value 7.632026
## iter  180 value 5.713825
## iter  200 value 4.281477
## final  value 4.243758 
## stopped after 201 iterations
## iter   20 value 16.514550
## iter   40 value 7.207887
## iter   60 value 5.165891
## iter   80 value 4.749011
## iter  100 value 2.550998
## iter  120 value 1.812965
## iter  140 value 1.681012
## iter  160 value 1.565516
## iter  180 value 1.188604
## iter  200 value 1.128396
## final  value 1.124730 
## stopped after 201 iterations
## iter   20 value 18.740875
## iter   40 value 10.751769
## iter   60 value 8.075753
## iter   80 value 5.084224
## iter  100 value 4.700890
## iter  120 value 4.335013
## iter  140 value 4.188504
## iter  160 value 3.933609
## iter  180 value 3.387972
## iter  200 value 3.229966
## final  value 3.222592 
## stopped after 201 iterations
## iter   20 value 17.170491
## iter   40 value 7.317873
## iter   60 value 4.589318
## iter   80 value 1.820046
## iter  100 value 1.396533
## iter  120 value 1.092356
## iter  140 value 0.924647
## iter  160 value 0.913239
## iter  180 value 0.868343
## iter  200 value 0.843988
## final  value 0.843615 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 0.0672 0.0045 0.0547 0.1307 time 0.66 
## iter   20 value 18.828025
## iter   40 value 6.470903
## iter   60 value 3.575840
## iter   80 value 2.322933
## iter  100 value 2.127615
## iter  120 value 1.972462
## iter  140 value 1.933212
## iter  160 value 1.900189
## iter  180 value 1.735909
## iter  200 value 1.664089
## final  value 1.656771 
## stopped after 201 iterations
## iter   20 value 15.939808
## iter   40 value 5.836341
## iter   60 value 3.822687
## iter   80 value 2.581847
## iter  100 value 1.707872
## iter  120 value 1.492480
## iter  140 value 1.375164
## iter  160 value 1.326590
## iter  180 value 1.239771
## iter  200 value 1.173961
## final  value 1.173413 
## stopped after 201 iterations
## iter   20 value 19.117268
## iter   40 value 6.604334
## iter   60 value 2.058685
## iter   80 value 1.685593
## iter  100 value 1.348489
## iter  120 value 1.290179
## iter  140 value 1.139024
## iter  160 value 1.007550
## iter  180 value 0.956703
## iter  200 value 0.922415
## final  value 0.921975 
## stopped after 201 iterations
## iter   20 value 17.965985
## iter   40 value 13.177635
## iter   60 value 10.950545
## iter   80 value 10.025083
## iter  100 value 6.212743
## iter  120 value 2.858531
## iter  140 value 1.966893
## iter  160 value 1.194316
## iter  180 value 0.939703
## iter  200 value 0.817744
## final  value 0.815968 
## stopped after 201 iterations
## iter   20 value 16.559040
## iter   40 value 3.892537
## iter   60 value 1.611380
## iter   80 value 1.413649
## iter  100 value 1.312492
## iter  120 value 1.280924
## iter  140 value 1.233686
## iter  160 value 1.206360
## iter  180 value 1.170720
## iter  200 value 1.155827
## final  value 1.154829 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 0.0787 0.0062 0.06 0.1956 time 0.64

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9918     alpha= 0.0622   beta= 202955.4 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9834     alpha= 0.0638   beta= 5805.409 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9649     alpha= 0.0638   beta= 36320.81 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9816     alpha= 0.0639   beta= 5601.841 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9891     alpha= 0.0633   beta= 6509.595 
## brnn brnn gaussNewton i 5 summary statistics 0.013 0.0002 0.01 0.0288 time 0.01 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9888     alpha= 0.063    beta= 12253.28 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.99   alpha= 0.0626   beta= 51813.69 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9815     alpha= 0.064    beta= 4903.016 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9754     alpha= 0.0645   beta= 4204.675 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9771     alpha= 0.0631   beta= 54687.18 
## brnn brnn gaussNewton i 10 summary statistics 0.0045 0 0.0034 0.0163 time 0 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9917     alpha= 0.0622   beta= 58770.53 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9921     alpha= 0.0626   beta= 30679.68 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9912     alpha= 0.0624   beta= 87146.81 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9864     alpha= 0.0636   beta= 5346.364 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9727     alpha= 0.0634   beta= 40810.38 
## brnn brnn gaussNewton i 15 summary statistics 0.0052 0 0.0041 0.018 time 0 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9712     alpha= 0.0719   beta= 2255.945 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9911     alpha= 0.0624   beta= 97926.63 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9698     alpha= 0.0653   beta= 2137.427 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9845     alpha= 0.0638   beta= 5351.836 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.9775     alpha= 0.0631   beta= 62155.77 
## brnn brnn gaussNewton i 20 summary statistics 0.0042 0 0.003 0.0152 time 0

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_CaDENCE::cadence.fit_optim ***
## n.hidden = 3 --> 1 * NLL = -138.8106 ; penalty = 0; BIC = -222.5757 ; AICc = -237.9546 ; AIC = -249.6212
## n.hidden = 3 --> 1 * NLL = -152.5409 ; penalty = 0; BIC = -250.0362 ; AICc = -265.4151 ; AIC = -277.0818
## n.hidden = 3 --> 1 * NLL = -156.4792 ; penalty = 0; BIC = -257.9128 ; AICc = -273.2917 ; AIC = -284.9583
## n.hidden = 3 --> 1 * NLL = -138.997 ; penalty = 0; BIC = -222.9485 ; AICc = -238.3274 ; AIC = -249.9941
## n.hidden = 3 --> 1 * NLL = -175.3616 ; penalty = 0; BIC = -295.6777 ; AICc = -311.0566 ; AIC = -322.7232
## CaDENCE cadence.fit optim i 5 summary statistics 0.0685 0.0047 0.0343 0.2265 time 0.86 
## n.hidden = 3 --> 1 * NLL = -142.6312 ; penalty = 0; BIC = -230.2168 ; AICc = -245.5956 ; AIC = -257.2623
## n.hidden = 3 --> 1 * NLL = -105.2119 ; penalty = 0; BIC = -155.3783 ; AICc = -170.7572 ; AIC = -182.4239
## n.hidden = 3 --> 1 * NLL = -273.6984 ; penalty = 0; BIC = -492.3512 ; AICc = -507.7301 ; AIC = -519.3968
## n.hidden = 3 --> 1 * NLL = -122.8041 ; penalty = 0; BIC = -190.5627 ; AICc = -205.9416 ; AIC = -217.6083
## n.hidden = 3 --> 1 * NLL = -134.5294 ; penalty = 0; BIC = -214.0133 ; AICc = -229.3922 ; AIC = -241.0588
## CaDENCE cadence.fit optim i 10 summary statistics 1.1708 1.3708 0.6597 2.5653 time 0.97 
## n.hidden = 3 --> 1 * NLL = -133.2773 ; penalty = 0; BIC = -211.5091 ; AICc = -226.888 ; AIC = -238.5547
## n.hidden = 3 --> 1 * NLL = -197.7411 ; penalty = 0; BIC = -340.4367 ; AICc = -355.8156 ; AIC = -367.4823
## n.hidden = 3 --> 1 * NLL = -135.0141 ; penalty = 0; BIC = -214.9827 ; AICc = -230.3616 ; AIC = -242.0283
## n.hidden = 3 --> 1 * NLL = -147.0479 ; penalty = 0; BIC = -239.0503 ; AICc = -254.4291 ; AIC = -266.0958
## n.hidden = 3 --> 1 * NLL = -162.0521 ; penalty = 0; BIC = -269.0587 ; AICc = -284.4376 ; AIC = -296.1043
## CaDENCE cadence.fit optim i 15 summary statistics 0.3776 0.1426 0.1927 1.2467 time 0.81 
## n.hidden = 3 --> 1 * NLL = -251.1959 ; penalty = 0; BIC = -447.3462 ; AICc = -462.725 ; AIC = -474.3917
## n.hidden = 3 --> 1 * NLL = -173.4832 ; penalty = 0; BIC = -291.9209 ; AICc = -307.2998 ; AIC = -318.9665
## n.hidden = 3 --> 1 * NLL = -152.2895 ; penalty = 0; BIC = -249.5335 ; AICc = -264.9124 ; AIC = -276.5791
## n.hidden = 3 --> 1 * NLL = -138.8479 ; penalty = 0; BIC = -222.6501 ; AICc = -238.029 ; AIC = -249.6957
## n.hidden = 3 --> 1 * NLL = -207.3887 ; penalty = 0; BIC = -359.7319 ; AICc = -375.1108 ; AIC = -386.7775
## CaDENCE cadence.fit optim i 20 summary statistics 0.0669 0.0045 0.0334 0.2611 time 0.69

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 0.0034 0 0.0028 0.0094 time 0.01 
## MachineShop fit none i 10 summary statistics 0.0024 0 0.002 0.0067 time 0 
## MachineShop fit none i 15 summary statistics 0.0764 0.0058 0.0571 0.2265 time 0 
## MachineShop fit none i 20 summary statistics 0.0023 0 0.0019 0.0062 time 0

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 0 0 0 0.0001 time 0 
## minpack.lm nlsLM none i 10 summary statistics 0 0 0 0.0001 time 0.02 
## minpack.lm nlsLM none i 15 summary statistics 0 0 0 0.0001 time 0 
## minpack.lm nlsLM none i 20 summary statistics 0.1132 0.0128 0.0799 0.3291 time 0

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 0.0166 0.0003 0.0134 0.0455 time 0.19 
## monmlp monmlp.fit BFGS i 10 summary statistics 0.0537 0.0029 0.0438 0.136 time 0.18 
## monmlp monmlp.fit BFGS i 15 summary statistics 0.0361 0.0013 0.029 0.0988 time 0.19 
## monmlp monmlp.fit BFGS i 20 summary statistics 0.0477 0.0023 0.0385 0.1325 time 0.2

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## nlsr nlxb none i 5 summary statistics 0 0 0 0.0001 time 0.01 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## nlsr nlxb none i 10 summary statistics 0.0932 0.0087 0.0737 0.2452 time 0.05 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## nlsr nlxb none i 15 summary statistics 0 0 0 0.0001 time 0.01 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## nlsr nlxb none i 20 summary statistics 0 0 0 0.0001 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 0.0022 0 0.0018 0.0047 time 0 
## nnet nnet none i 10 summary statistics 0.0026 0 0.0021 0.0071 time 0 
## nnet nnet none i 15 summary statistics 0.0966 0.0093 0.0799 0.2419 time 0 
## nnet nnet none i 20 summary statistics 0.0509 0.0026 0.0422 0.1151 time 0

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 0.2779 0.0772 0.1792 0.8503 time 0.21 
## qrnn qrnn.fit none i 10 summary statistics 0.3167 0.1003 0.1981 0.9742 time 0.08 
## qrnn qrnn.fit none i 15 summary statistics 0.0541 0.0029 0.0277 0.203 time 0.19 
## qrnn qrnn.fit none i 20 summary statistics 0.3175 0.1008 0.1985 0.9765 time 0.08

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 0.0798 0.0064 0.0601 0.2331 time 0.01 
## radiant.model nn none i 10 summary statistics 0.0055 0 0.0042 0.0116 time 0.03 
## radiant.model nn none i 15 summary statistics 0.0721 0.0052 0.0528 0.2167 time 0.01 
## radiant.model nn none i 20 summary statistics 0.1108 0.0123 0.0841 0.3252 time 0.03

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_rminer::fit_none ***
## rminer fit none i 5 summary statistics 0.002 0 0.0017 0.005 time 0 
## rminer fit none i 10 summary statistics 0.003 0 0.0023 0.0095 time 0.01 
## rminer fit none i 15 summary statistics 0.0022 0 0.0018 0.0056 time 0 
## rminer fit none i 20 summary statistics 0.0033 0 0.0027 0.01 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_validann::ann_BFGS ***
## initial  value 57.414077 
## iter  20 value 0.736004
## iter  40 value 0.159775
## iter  60 value 0.157782
## iter  80 value 0.157590
## iter 100 value 0.157153
## iter 120 value 0.157089
## iter 140 value 0.157011
## final  value 0.157010 
## converged
## initial  value 69.541632 
## iter  20 value 0.721297
## iter  40 value 0.016932
## iter  60 value 0.000631
## iter  80 value 0.000265
## iter 100 value 0.000252
## iter 120 value 0.000220
## iter 140 value 0.000179
## iter 160 value 0.000135
## final  value 0.000099 
## converged
## initial  value 52.025349 
## iter  20 value 0.336196
## iter  40 value 0.004815
## final  value 0.000082 
## converged
## initial  value 59.115127 
## iter  20 value 2.138257
## iter  40 value 0.253148
## iter  60 value 0.037925
## iter  80 value 0.005529
## iter 100 value 0.000576
## iter 120 value 0.000436
## iter 140 value 0.000434
## iter 160 value 0.000427
## final  value 0.000427 
## converged
## initial  value 52.087283 
## iter  20 value 1.987353
## iter  40 value 0.023471
## iter  60 value 0.000462
## final  value 0.000072 
## converged
## validann ann BFGS i 5 summary statistics 0.0019 0 0.0016 0.006 time 0.14 
## initial  value 43.344008 
## iter  20 value 1.998967
## iter  40 value 0.187750
## iter  60 value 0.115414
## iter  80 value 0.047680
## iter 100 value 0.000100
## iter 100 value 0.000098
## iter 100 value 0.000098
## final  value 0.000098 
## converged
## initial  value 59.687069 
## iter  20 value 1.922854
## iter  40 value 0.374548
## iter  60 value 0.115533
## iter  80 value 0.051687
## iter 100 value 0.015576
## iter 120 value 0.002690
## iter 140 value 0.000244
## iter 160 value 0.000174
## iter 180 value 0.000132
## final  value 0.000091 
## converged
## initial  value 39.768622 
## iter  20 value 2.068975
## iter  40 value 0.255278
## iter  60 value 0.051382
## iter  80 value 0.006641
## iter 100 value 0.000123
## final  value 0.000096 
## converged
## initial  value 42.093512 
## iter  20 value 1.559761
## iter  40 value 0.026184
## final  value 0.000039 
## converged
## initial  value 58.643112 
## iter  20 value 3.093504
## iter  40 value 2.120536
## iter  60 value 0.004836
## iter  80 value 0.000611
## iter 100 value 0.000278
## iter 120 value 0.000248
## iter 140 value 0.000216
## iter 160 value 0.000186
## iter 180 value 0.000138
## final  value 0.000099 
## converged
## validann ann BFGS i 10 summary statistics 0.0023 0 0.0019 0.0059 time 0.36 
## initial  value 66.086208 
## iter  20 value 0.704790
## iter  40 value 0.148883
## iter  60 value 0.036111
## iter  80 value 0.000840
## final  value 0.000083 
## converged
## initial  value 49.908775 
## iter  20 value 1.197727
## iter  40 value 0.255928
## iter  60 value 0.255752
## iter  80 value 0.255712
## iter 100 value 0.255703
## iter 120 value 0.255673
## iter 140 value 0.255651
## iter 160 value 0.165550
## iter 180 value 0.109120
## iter 200 value 0.101225
## final  value 0.101225 
## stopped after 200 iterations
## initial  value 63.511823 
## iter  20 value 0.665519
## iter  40 value 0.103982
## iter  60 value 0.098985
## iter  80 value 0.098962
## iter 100 value 0.098848
## iter 120 value 0.098845
## iter 140 value 0.098841
## iter 160 value 0.098839
## iter 180 value 0.098836
## final  value 0.098835 
## converged
## initial  value 44.440699 
## iter  20 value 2.178690
## iter  40 value 0.296739
## iter  60 value 0.253083
## iter  80 value 0.250880
## iter 100 value 0.248279
## iter 120 value 0.247520
## iter 140 value 0.247001
## iter 160 value 0.246916
## iter 180 value 0.246798
## final  value 0.246787 
## converged
## initial  value 25.915951 
## iter  20 value 0.787717
## iter  40 value 0.100339
## iter  60 value 0.090032
## iter  80 value 0.015152
## iter 100 value 0.000812
## iter 120 value 0.000302
## iter 140 value 0.000278
## iter 160 value 0.000246
## iter 180 value 0.000226
## iter 200 value 0.000182
## final  value 0.000182 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 0.0031 0 0.0025 0.0088 time 0.36 
## initial  value 64.088011 
## iter  20 value 2.115633
## iter  40 value 0.208244
## iter  60 value 0.157028
## iter  80 value 0.157011
## final  value 0.157010 
## converged
## initial  value 66.093031 
## iter  20 value 1.775343
## iter  40 value 1.379413
## iter  60 value 1.154029
## iter  80 value 1.107416
## iter 100 value 1.037559
## iter 120 value 1.027376
## iter 140 value 0.989234
## iter 160 value 0.973645
## iter 180 value 0.970839
## iter 200 value 0.969591
## final  value 0.969591 
## stopped after 200 iterations
## initial  value 58.598760 
## iter  20 value 1.428098
## iter  40 value 0.486602
## iter  60 value 0.133800
## iter  80 value 0.111212
## iter 100 value 0.110890
## iter 120 value 0.109186
## iter 140 value 0.103247
## iter 160 value 0.097632
## iter 180 value 0.032047
## iter 200 value 0.003882
## final  value 0.003882 
## stopped after 200 iterations
## initial  value 60.252429 
## iter  20 value 2.231085
## iter  40 value 0.015976
## iter  60 value 0.000448
## iter  80 value 0.000228
## iter 100 value 0.000204
## iter 120 value 0.000146
## iter 140 value 0.000113
## final  value 0.000092 
## converged
## initial  value 44.727180 
## iter  20 value 2.244243
## iter  40 value 0.824970
## iter  60 value 0.373786
## iter  80 value 0.142360
## iter 100 value 0.012452
## iter 120 value 0.000432
## final  value 0.000056 
## converged
## validann ann BFGS i 20 summary statistics 0.0017 0 0.0014 0.0048 time 0.23

## 
## ________________________________________________________________________________ 
## ***   uDreyfus1_validann::ann_L-BFGS-B ***
## iter   20 value 1.213317
## iter   40 value 0.094904
## iter   60 value 0.037906
## iter   80 value 0.025308
## iter  100 value 0.020993
## iter  120 value 0.012017
## iter  140 value 0.008849
## iter  160 value 0.007915
## iter  180 value 0.006646
## iter  200 value 0.006466
## final  value 0.006464 
## stopped after 201 iterations
## iter   20 value 1.878801
## iter   40 value 0.155178
## iter   60 value 0.043207
## iter   80 value 0.023517
## iter  100 value 0.019131
## iter  120 value 0.011956
## iter  140 value 0.008781
## iter  160 value 0.008025
## iter  180 value 0.004378
## iter  200 value 0.001810
## final  value 0.001689 
## stopped after 201 iterations
## iter   20 value 2.228084
## iter   40 value 0.307061
## iter   60 value 0.276497
## iter   80 value 0.204641
## iter  100 value 0.103295
## iter  120 value 0.102987
## iter  140 value 0.102120
## iter  160 value 0.099589
## iter  180 value 0.098997
## iter  200 value 0.098965
## final  value 0.098959 
## stopped after 201 iterations
## iter   20 value 2.369983
## iter   40 value 1.766426
## iter   60 value 0.414238
## iter   80 value 0.170504
## iter  100 value 0.124233
## iter  120 value 0.121603
## iter  140 value 0.116591
## iter  160 value 0.111006
## iter  180 value 0.110546
## iter  200 value 0.110284
## final  value 0.110275 
## stopped after 201 iterations
## iter   20 value 1.432263
## iter   40 value 0.230412
## iter   60 value 0.071462
## iter   80 value 0.047650
## iter  100 value 0.023555
## iter  120 value 0.001744
## iter  140 value 0.001036
## iter  160 value 0.000303
## iter  180 value 0.000226
## iter  200 value 0.000155
## final  value 0.000154 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 0.0028 0 0.0019 0.0087 time 0.39 
## iter   20 value 2.240251
## iter   40 value 0.562352
## iter   60 value 0.283740
## iter   80 value 0.250983
## iter  100 value 0.241408
## iter  120 value 0.208504
## iter  140 value 0.170947
## iter  160 value 0.169404
## iter  180 value 0.153764
## iter  200 value 0.085354
## final  value 0.080033 
## stopped after 201 iterations
## iter   20 value 2.326788
## iter   40 value 0.322828
## iter   60 value 0.269247
## iter   80 value 0.263196
## iter  100 value 0.254846
## iter  120 value 0.204938
## iter  140 value 0.176022
## iter  160 value 0.171649
## iter  180 value 0.163072
## iter  200 value 0.161827
## final  value 0.161808 
## stopped after 201 iterations
## iter   20 value 1.445541
## iter   40 value 0.257896
## iter   60 value 0.113764
## iter   80 value 0.110600
## iter  100 value 0.107960
## iter  120 value 0.104334
## iter  140 value 0.103866
## iter  160 value 0.102634
## iter  180 value 0.101295
## iter  200 value 0.100548
## final  value 0.100486 
## stopped after 201 iterations
## iter   20 value 2.081905
## iter   40 value 0.190070
## iter   60 value 0.081894
## iter   80 value 0.055381
## iter  100 value 0.034217
## iter  120 value 0.020118
## iter  140 value 0.012196
## iter  160 value 0.010002
## iter  180 value 0.009452
## iter  200 value 0.007725
## final  value 0.007695 
## stopped after 201 iterations
## iter   20 value 2.113946
## iter   40 value 0.922708
## iter   60 value 0.596239
## iter   80 value 0.511968
## iter  100 value 0.457237
## iter  120 value 0.204545
## iter  140 value 0.127005
## iter  160 value 0.115848
## iter  180 value 0.108689
## iter  200 value 0.105238
## final  value 0.104943 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 0.0739 0.0055 0.0536 0.2247 time 0.4 
## iter   20 value 1.918067
## iter   40 value 0.262531
## iter   60 value 0.253917
## iter   80 value 0.103245
## iter  100 value 0.100760
## iter  120 value 0.100607
## iter  140 value 0.100561
## iter  160 value 0.100549
## iter  180 value 0.100507
## iter  200 value 0.100431
## final  value 0.100427 
## stopped after 201 iterations
## iter   20 value 2.249774
## iter   40 value 0.354709
## iter   60 value 0.169019
## iter   80 value 0.156346
## iter  100 value 0.132224
## iter  120 value 0.095724
## iter  140 value 0.076859
## iter  160 value 0.053747
## iter  180 value 0.050796
## iter  200 value 0.049959
## final  value 0.049706 
## stopped after 201 iterations
## iter   20 value 1.511137
## iter   40 value 0.352459
## iter   60 value 0.135055
## iter   80 value 0.104055
## iter  100 value 0.100769
## iter  120 value 0.100270
## iter  140 value 0.099889
## iter  160 value 0.099646
## iter  180 value 0.099470
## iter  200 value 0.098930
## final  value 0.098925 
## stopped after 201 iterations
## iter   20 value 1.563909
## iter   40 value 0.535888
## iter   60 value 0.129384
## iter   80 value 0.115803
## iter  100 value 0.109079
## iter  120 value 0.108639
## iter  140 value 0.107308
## iter  160 value 0.104885
## iter  180 value 0.084454
## iter  200 value 0.056802
## final  value 0.056479 
## stopped after 201 iterations
## iter   20 value 2.208240
## iter   40 value 0.202892
## iter   60 value 0.129848
## iter   80 value 0.117919
## iter  100 value 0.117237
## iter  120 value 0.113207
## iter  140 value 0.110749
## iter  160 value 0.106506
## iter  180 value 0.103518
## iter  200 value 0.067733
## final  value 0.066770 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 0.0589 0.0035 0.0482 0.1579 time 0.4 
## iter   20 value 1.650501
## iter   40 value 0.140420
## iter   60 value 0.108764
## iter   80 value 0.029932
## iter  100 value 0.004573
## iter  120 value 0.002400
## iter  140 value 0.000716
## iter  160 value 0.000200
## iter  180 value 0.000089
## iter  200 value 0.000069
## final  value 0.000068 
## stopped after 201 iterations
## iter   20 value 0.765129
## iter   40 value 0.107582
## iter   60 value 0.105491
## iter   80 value 0.104011
## iter  100 value 0.102395
## iter  120 value 0.100681
## iter  140 value 0.100050
## iter  160 value 0.099748
## iter  180 value 0.098905
## iter  200 value 0.096571
## final  value 0.095812 
## stopped after 201 iterations
## iter   20 value 2.371422
## iter   40 value 0.308432
## iter   60 value 0.290084
## iter   80 value 0.258603
## iter  100 value 0.255898
## iter  120 value 0.255700
## final  value 0.255699 
## converged
## iter   20 value 1.185071
## iter   40 value 0.293481
## iter   60 value 0.165061
## iter   80 value 0.156794
## iter  100 value 0.153336
## iter  120 value 0.149166
## iter  140 value 0.117501
## iter  160 value 0.098954
## iter  180 value 0.093460
## iter  200 value 0.092732
## final  value 0.092645 
## stopped after 201 iterations
## iter   20 value 1.753562
## iter   40 value 0.277660
## iter   60 value 0.269979
## iter   80 value 0.266043
## iter  100 value 0.256451
## iter  120 value 0.255855
## iter  140 value 0.255368
## iter  160 value 0.254201
## iter  180 value 0.253926
## iter  200 value 0.253773
## final  value 0.253769 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 0.1149 0.0132 0.0829 0.3287 time 0.38

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## brnn brnn gaussNewton i 5 summary statistics 0.0913 0.0083 0.073 0.2241 time 0 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## brnn brnn gaussNewton i 10 summary statistics 0.0913 0.0083 0.073 0.2241 time 0.02 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## brnn brnn gaussNewton i 15 summary statistics 0.0913 0.0083 0.073 0.2241 time 0 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## Number of parameters (weights and biases) to estimate: 9 
## Nguyen-Widrow method
## Scaling factor= 2.1 
## gamma= 8.8506     alpha= 0.0675   beta= 130.7886 
## brnn brnn gaussNewton i 20 summary statistics 0.0913 0.0083 0.073 0.2241 time 0

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_CaDENCE::cadence.fit_optim ***
## n.hidden = 3 --> 1 * NLL = -28.34668 ; penalty = 0; BIC = -1.647811 ; AICc = -17.0267 ; AIC = -28.69337
## n.hidden = 3 --> 1 * NLL = -46.44518 ; penalty = 0; BIC = -37.84481 ; AICc = -53.2237 ; AIC = -64.89037
## n.hidden = 3 --> 1 * NLL = -38.77873 ; penalty = 0; BIC = -22.5119 ; AICc = -37.89079 ; AIC = -49.55746
## n.hidden = 3 --> 1 * NLL = -75.2649 ; penalty = 0; BIC = -95.48424 ; AICc = -110.8631 ; AIC = -122.5298
## n.hidden = 3 --> 1 * NLL = -63.67376 ; penalty = 0; BIC = -72.30197 ; AICc = -87.68086 ; AIC = -99.34753
## CaDENCE cadence.fit optim i 5 summary statistics 0.1464 0.0214 0.1042 0.48 time 1.02 
## n.hidden = 3 --> 1 * NLL = -58.4369 ; penalty = 0; BIC = -61.82825 ; AICc = -77.20714 ; AIC = -88.87381
## n.hidden = 3 --> 1 * NLL = -28.34717 ; penalty = 0; BIC = -1.648772 ; AICc = -17.02766 ; AIC = -28.69433
## n.hidden = 3 --> 1 * NLL = -59.65283 ; penalty = 0; BIC = -64.26011 ; AICc = -79.639 ; AIC = -91.30567
## n.hidden = 3 --> 1 * NLL = -44.79389 ; penalty = 0; BIC = -34.54223 ; AICc = -49.92112 ; AIC = -61.58779
## n.hidden = 3 --> 1 * NLL = -28.03924 ; penalty = 0; BIC = -1.032931 ; AICc = -16.41182 ; AIC = -28.07849
## CaDENCE cadence.fit optim i 10 summary statistics 0.438 0.1919 0.2914 1.227 time 0.99 
## n.hidden = 3 --> 1 * NLL = -75.58851 ; penalty = 0; BIC = -96.13147 ; AICc = -111.5104 ; AIC = -123.177
## n.hidden = 3 --> 1 * NLL = -46.2995 ; penalty = 0; BIC = -37.55344 ; AICc = -52.93233 ; AIC = -64.599
## n.hidden = 3 --> 1 * NLL = -68.22349 ; penalty = 0; BIC = -81.40142 ; AICc = -96.78031 ; AIC = -108.447
## n.hidden = 3 --> 1 * NLL = -59.64872 ; penalty = 0; BIC = -64.25188 ; AICc = -79.63077 ; AIC = -91.29744
## n.hidden = 3 --> 1 * NLL = -67.10913 ; penalty = 0; BIC = -79.1727 ; AICc = -94.5516 ; AIC = -106.2183
## CaDENCE cadence.fit optim i 15 summary statistics 0.118 0.0139 0.0895 0.3552 time 1.53 
## n.hidden = 3 --> 1 * NLL = -49.19354 ; penalty = 0; BIC = -43.34152 ; AICc = -58.72042 ; AIC = -70.38708
## n.hidden = 3 --> 1 * NLL = -28.34011 ; penalty = 0; BIC = -1.634669 ; AICc = -17.01356 ; AIC = -28.68023
## n.hidden = 3 --> 1 * NLL = -75.46153 ; penalty = 0; BIC = -95.8775 ; AICc = -111.2564 ; AIC = -122.9231
## n.hidden = 3 --> 1 * NLL = -60.33555 ; penalty = 0; BIC = -65.62554 ; AICc = -81.00443 ; AIC = -92.6711
## n.hidden = 3 --> 1 * NLL = -75.17526 ; penalty = 0; BIC = -95.30495 ; AICc = -110.6838 ; AIC = -122.3505
## CaDENCE cadence.fit optim i 20 summary statistics 0.0908 0.0082 0.0722 0.2249 time 1.5

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 0.2366 0.056 0.1822 0.6644 time 0.02 
## MachineShop fit none i 10 summary statistics 0.1303 0.017 0.1013 0.2849 time 0 
## MachineShop fit none i 15 summary statistics 0.0906 0.0082 0.0725 0.2205 time 0.01 
## MachineShop fit none i 20 summary statistics 0.0906 0.0082 0.0724 0.2202 time 0

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 0.157 0.0246 0.1188 0.4688 time 0 
## minpack.lm nlsLM none i 10 summary statistics 0.0906 0.0082 0.0723 0.2197 time 0.02 
## minpack.lm nlsLM none i 15 summary statistics 0.1123 0.0126 0.0901 0.2734 time 0.02 
## minpack.lm nlsLM none i 20 summary statistics 0.0906 0.0082 0.0723 0.2198 time 0.01

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 0.1135 0.0129 0.0898 0.2743 time 0.2 
## monmlp monmlp.fit BFGS i 10 summary statistics 0.094 0.0088 0.0749 0.2448 time 0.19 
## monmlp monmlp.fit BFGS i 15 summary statistics 0.0958 0.0092 0.0744 0.2245 time 0.19 
## monmlp monmlp.fit BFGS i 20 summary statistics 0.1166 0.0136 0.0925 0.2785 time 0.18

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## nlsr nlxb none i 5 summary statistics 0.0906 0.0082 0.0723 0.2197 time 0.05 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## nlsr nlxb none i 10 summary statistics 0.0906 0.0082 0.0723 0.2197 time 0.06 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## nlsr nlxb none i 15 summary statistics 0.0906 0.0082 0.0723 0.2197 time 0.05 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## no weights
## nlsr nlxb none i 20 summary statistics 0.0906 0.0082 0.0723 0.2197 time 0.06

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 0.0906 0.0082 0.0724 0.2198 time 0 
## nnet nnet none i 10 summary statistics 0.2363 0.0558 0.1814 0.6649 time 0 
## nnet nnet none i 15 summary statistics 0.0907 0.0082 0.0725 0.2202 time 0 
## nnet nnet none i 20 summary statistics 0.1123 0.0126 0.0902 0.2738 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 0.1181 0.014 0.0875 0.3194 time 0.28 
## qrnn qrnn.fit none i 10 summary statistics 0.1183 0.014 0.0902 0.2774 time 0.22 
## qrnn qrnn.fit none i 15 summary statistics 0.0979 0.0096 0.0746 0.2304 time 0.11 
## qrnn qrnn.fit none i 20 summary statistics 0.1299 0.0169 0.0988 0.3502 time 0.27

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 0.1138 0.013 0.0891 0.2762 time 0.02 
## radiant.model nn none i 10 summary statistics 0.0915 0.0084 0.073 0.2318 time 0.03 
## radiant.model nn none i 15 summary statistics 0.0909 0.0083 0.0725 0.2239 time 0.03 
## radiant.model nn none i 20 summary statistics 0.0913 0.0083 0.0733 0.2341 time 0.03

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_rminer::fit_none ***
## rminer fit none i 5 summary statistics 0.0906 0.0082 0.0725 0.221 time 0.01 
## rminer fit none i 10 summary statistics 0.0906 0.0082 0.0725 0.2205 time 0 
## rminer fit none i 15 summary statistics 0.0906 0.0082 0.0724 0.2201 time 0.02 
## rminer fit none i 20 summary statistics 0.0906 0.0082 0.0725 0.2199 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_validann::ann_BFGS ***
## initial  value 53.045488 
## iter  20 value 1.623734
## iter  40 value 0.334231
## iter  60 value 0.202669
## iter  80 value 0.163739
## iter 100 value 0.159093
## iter 120 value 0.158923
## iter 140 value 0.158807
## iter 160 value 0.158759
## iter 180 value 0.158730
## iter 200 value 0.158700
## final  value 0.158700 
## stopped after 200 iterations
## initial  value 64.743158 
## iter  20 value 1.276308
## iter  40 value 0.421110
## iter  60 value 0.408286
## iter  80 value 0.362024
## iter 100 value 0.296201
## iter 120 value 0.188784
## iter 140 value 0.161470
## iter 160 value 0.159012
## iter 180 value 0.158790
## iter 200 value 0.158745
## final  value 0.158745 
## stopped after 200 iterations
## initial  value 70.520079 
## iter  20 value 1.415925
## iter  40 value 0.415085
## iter  60 value 0.409430
## iter  80 value 0.395482
## iter 100 value 0.331399
## iter 120 value 0.280225
## iter 140 value 0.191394
## iter 160 value 0.163855
## iter 180 value 0.159653
## iter 200 value 0.158718
## final  value 0.158718 
## stopped after 200 iterations
## initial  value 55.227593 
## iter  20 value 2.465943
## iter  40 value 0.741206
## iter  60 value 0.435594
## iter  80 value 0.248888
## iter 100 value 0.244697
## iter 120 value 0.228864
## iter 140 value 0.178165
## iter 160 value 0.162163
## iter 180 value 0.158768
## iter 200 value 0.158683
## final  value 0.158683 
## stopped after 200 iterations
## initial  value 73.289451 
## iter  20 value 0.432810
## iter  40 value 0.290704
## iter  60 value 0.188189
## iter  80 value 0.160300
## iter 100 value 0.159545
## iter 120 value 0.159326
## iter 140 value 0.159090
## iter 160 value 0.158955
## iter 180 value 0.158818
## iter 200 value 0.158744
## final  value 0.158744 
## stopped after 200 iterations
## validann ann BFGS i 5 summary statistics 0.0906 0.0082 0.0725 0.2207 time 0.38 
## initial  value 60.068504 
## iter  20 value 2.419831
## iter  40 value 1.897868
## iter  60 value 1.490464
## iter  80 value 0.679734
## iter 100 value 0.497347
## final  value 0.497310 
## converged
## initial  value 81.788196 
## iter  20 value 1.195285
## iter  40 value 0.282673
## iter  60 value 0.262917
## iter  80 value 0.253588
## iter 100 value 0.246910
## iter 120 value 0.243836
## iter 140 value 0.243667
## final  value 0.243649 
## converged
## initial  value 87.056890 
## iter  20 value 1.504181
## iter  40 value 0.367467
## iter  60 value 0.228657
## iter  80 value 0.170261
## iter 100 value 0.159124
## iter 120 value 0.158953
## iter 140 value 0.158810
## iter 160 value 0.158745
## iter 180 value 0.158722
## iter 200 value 0.158699
## final  value 0.158699 
## stopped after 200 iterations
## initial  value 53.591260 
## iter  20 value 0.616555
## iter  40 value 0.267704
## iter  60 value 0.187640
## iter  80 value 0.158988
## iter 100 value 0.158882
## iter 120 value 0.158786
## iter 140 value 0.158737
## iter 160 value 0.158712
## iter 180 value 0.158687
## iter 200 value 0.158669
## final  value 0.158669 
## stopped after 200 iterations
## initial  value 72.672212 
## iter  20 value 2.027595
## iter  40 value 0.392115
## iter  60 value 0.246212
## iter  80 value 0.164228
## iter 100 value 0.159253
## iter 120 value 0.158870
## iter 140 value 0.158790
## iter 160 value 0.158743
## iter 180 value 0.158715
## iter 200 value 0.158688
## final  value 0.158688 
## stopped after 200 iterations
## validann ann BFGS i 10 summary statistics 0.0906 0.0082 0.0724 0.2202 time 0.36 
## initial  value 54.490646 
## iter  20 value 1.650252
## iter  40 value 0.360363
## iter  60 value 0.303531
## iter  80 value 0.225179
## iter 100 value 0.166967
## iter 120 value 0.158876
## iter 140 value 0.158675
## final  value 0.158672 
## converged
## initial  value 76.552139 
## iter  20 value 1.361852
## iter  40 value 0.182004
## iter  60 value 0.159386
## iter  80 value 0.158905
## iter 100 value 0.158803
## iter 120 value 0.158763
## iter 140 value 0.158723
## iter 160 value 0.158702
## iter 180 value 0.158682
## iter 200 value 0.158667
## final  value 0.158667 
## stopped after 200 iterations
## initial  value 49.764127 
## iter  20 value 2.715164
## iter  40 value 0.425663
## iter  60 value 0.265327
## iter  80 value 0.246757
## iter 100 value 0.244244
## iter 120 value 0.205465
## iter 140 value 0.169750
## iter 160 value 0.159963
## iter 180 value 0.158698
## final  value 0.158681 
## converged
## initial  value 57.503249 
## iter  20 value 2.355012
## iter  40 value 0.316626
## iter  60 value 0.181143
## iter  80 value 0.159115
## iter 100 value 0.158887
## iter 120 value 0.158797
## iter 140 value 0.158746
## iter 160 value 0.158719
## iter 180 value 0.158693
## iter 200 value 0.158669
## final  value 0.158669 
## stopped after 200 iterations
## initial  value 54.329241 
## iter  20 value 2.280528
## iter  40 value 1.488629
## iter  60 value 0.281539
## iter  80 value 0.168958
## iter 100 value 0.159357
## iter 120 value 0.159057
## iter 140 value 0.158885
## iter 160 value 0.158804
## iter 180 value 0.158751
## iter 200 value 0.158698
## final  value 0.158698 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 0.0906 0.0082 0.0724 0.2204 time 0.36 
## initial  value 54.986804 
## iter  20 value 2.094802
## iter  40 value 0.237718
## iter  60 value 0.162343
## iter  80 value 0.158917
## iter 100 value 0.158836
## iter 120 value 0.158775
## iter 140 value 0.158737
## iter 160 value 0.158711
## iter 180 value 0.158685
## iter 200 value 0.158668
## final  value 0.158668 
## stopped after 200 iterations
## initial  value 55.791988 
## iter  20 value 2.151385
## iter  40 value 0.502543
## iter  60 value 0.229357
## iter  80 value 0.174706
## iter 100 value 0.159407
## iter 120 value 0.158794
## iter 140 value 0.158734
## iter 160 value 0.158690
## iter 180 value 0.158676
## iter 200 value 0.158660
## final  value 0.158660 
## stopped after 200 iterations
## initial  value 43.194726 
## iter  20 value 1.340272
## iter  40 value 0.451387
## iter  60 value 0.259057
## iter  80 value 0.244406
## iter 100 value 0.215524
## iter 120 value 0.169663
## iter 140 value 0.159801
## iter 160 value 0.158678
## iter 180 value 0.158665
## iter 200 value 0.158651
## final  value 0.158651 
## stopped after 200 iterations
## initial  value 102.611812 
## iter  20 value 2.613609
## iter  40 value 1.555493
## iter  60 value 0.290364
## iter  80 value 0.180476
## iter 100 value 0.173694
## iter 120 value 0.166346
## iter 140 value 0.161670
## iter 160 value 0.159202
## iter 180 value 0.158605
## final  value 0.158541 
## converged
## initial  value 41.209336 
## iter  20 value 1.790961
## iter  40 value 0.175909
## iter  60 value 0.159317
## iter  80 value 0.158785
## iter 100 value 0.158750
## iter 120 value 0.158715
## iter 140 value 0.158694
## iter 160 value 0.158678
## final  value 0.158672 
## converged
## validann ann BFGS i 20 summary statistics 0.0906 0.0082 0.0724 0.2198 time 0.29

## 
## ________________________________________________________________________________ 
## ***   uDreyfus2_validann::ann_L-BFGS-B ***
## iter   20 value 2.273826
## iter   40 value 0.532132
## iter   60 value 0.458250
## iter   80 value 0.444727
## iter  100 value 0.417045
## iter  120 value 0.411758
## iter  140 value 0.410393
## iter  160 value 0.410137
## iter  180 value 0.409867
## iter  200 value 0.409070
## final  value 0.408786 
## stopped after 201 iterations
## iter   20 value 1.178794
## iter   40 value 0.453680
## iter   60 value 0.393473
## iter   80 value 0.236507
## iter  100 value 0.203618
## iter  120 value 0.195590
## iter  140 value 0.169216
## iter  160 value 0.163893
## iter  180 value 0.163395
## iter  200 value 0.163184
## final  value 0.163174 
## stopped after 201 iterations
## iter   20 value 1.984546
## iter   40 value 0.293738
## iter   60 value 0.177055
## iter   80 value 0.167495
## iter  100 value 0.160675
## iter  120 value 0.159302
## iter  140 value 0.159177
## iter  160 value 0.159079
## iter  180 value 0.158975
## iter  200 value 0.158899
## final  value 0.158899 
## stopped after 201 iterations
## iter   20 value 2.277411
## iter   40 value 0.440199
## iter   60 value 0.196449
## iter   80 value 0.163074
## iter  100 value 0.162094
## iter  120 value 0.161489
## iter  140 value 0.160277
## iter  160 value 0.159948
## iter  180 value 0.159564
## iter  200 value 0.159367
## final  value 0.159365 
## stopped after 201 iterations
## iter   20 value 2.427442
## iter   40 value 1.718195
## iter   60 value 0.928596
## iter   80 value 0.224566
## iter  100 value 0.190321
## iter  120 value 0.186690
## iter  140 value 0.185649
## iter  160 value 0.179508
## iter  180 value 0.175799
## iter  200 value 0.169616
## final  value 0.168765 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 0.0935 0.0087 0.0736 0.2277 time 0.42 
## iter   20 value 2.277077
## iter   40 value 0.508216
## iter   60 value 0.421351
## iter   80 value 0.411961
## iter  100 value 0.409616
## iter  120 value 0.407943
## iter  140 value 0.403646
## iter  160 value 0.371295
## iter  180 value 0.320491
## iter  200 value 0.250775
## final  value 0.247778 
## stopped after 201 iterations
## iter   20 value 2.333333
## iter   40 value 1.027884
## iter   60 value 0.326586
## iter   80 value 0.217354
## iter  100 value 0.203310
## iter  120 value 0.174056
## iter  140 value 0.165013
## iter  160 value 0.163198
## iter  180 value 0.162390
## iter  200 value 0.161233
## final  value 0.161191 
## stopped after 201 iterations
## iter   20 value 1.383434
## iter   40 value 0.253055
## iter   60 value 0.195250
## iter   80 value 0.182778
## iter  100 value 0.170605
## iter  120 value 0.164530
## iter  140 value 0.163683
## iter  160 value 0.161631
## iter  180 value 0.160041
## iter  200 value 0.159777
## final  value 0.159771 
## stopped after 201 iterations
## iter   20 value 2.498400
## iter   40 value 0.502724
## iter   60 value 0.446966
## iter   80 value 0.415621
## iter  100 value 0.411393
## iter  120 value 0.410397
## iter  140 value 0.410234
## iter  160 value 0.410114
## iter  180 value 0.409782
## iter  200 value 0.409679
## final  value 0.409672 
## stopped after 201 iterations
## iter   20 value 2.330838
## iter   40 value 0.486325
## iter   60 value 0.446408
## iter   80 value 0.428233
## iter  100 value 0.411732
## iter  120 value 0.409407
## iter  140 value 0.382247
## iter  160 value 0.282909
## iter  180 value 0.231926
## iter  200 value 0.210059
## final  value 0.208168 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 0.1038 0.0108 0.0821 0.2319 time 0.45 
## iter   20 value 1.599026
## iter   40 value 0.372012
## iter   60 value 0.190971
## iter   80 value 0.182833
## iter  100 value 0.170968
## iter  120 value 0.168092
## iter  140 value 0.162616
## iter  160 value 0.161838
## iter  180 value 0.161560
## iter  200 value 0.161071
## final  value 0.161058 
## stopped after 201 iterations
## iter   20 value 2.330415
## iter   40 value 0.425111
## iter   60 value 0.420026
## iter   80 value 0.419323
## iter  100 value 0.418651
## iter  120 value 0.416847
## iter  140 value 0.415288
## iter  160 value 0.414596
## iter  180 value 0.414061
## iter  200 value 0.412852
## final  value 0.412766 
## stopped after 201 iterations
## iter   20 value 2.167831
## iter   40 value 0.398677
## iter   60 value 0.238595
## iter   80 value 0.202770
## iter  100 value 0.178384
## iter  120 value 0.165211
## iter  140 value 0.163368
## iter  160 value 0.163049
## iter  180 value 0.161716
## iter  200 value 0.161410
## final  value 0.161405 
## stopped after 201 iterations
## iter   20 value 1.635162
## iter   40 value 0.510457
## iter   60 value 0.448771
## iter   80 value 0.260307
## iter  100 value 0.222191
## iter  120 value 0.205912
## iter  140 value 0.197424
## iter  160 value 0.178645
## iter  180 value 0.161774
## iter  200 value 0.159592
## final  value 0.159577 
## stopped after 201 iterations
## iter   20 value 2.538080
## iter   40 value 1.353008
## iter   60 value 0.329655
## iter   80 value 0.321741
## iter  100 value 0.318733
## iter  120 value 0.314735
## iter  140 value 0.312270
## iter  160 value 0.300361
## iter  180 value 0.266487
## iter  200 value 0.263877
## final  value 0.263794 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 0.1168 0.0137 0.0928 0.2687 time 0.39 
## iter   20 value 2.301681
## iter   40 value 0.486048
## iter   60 value 0.412882
## iter   80 value 0.412708
## iter  100 value 0.412504
## iter  120 value 0.407780
## iter  140 value 0.352022
## iter  160 value 0.307045
## iter  180 value 0.271474
## iter  200 value 0.235997
## final  value 0.235777 
## stopped after 201 iterations
## iter   20 value 1.928000
## iter   40 value 0.324728
## iter   60 value 0.198091
## iter   80 value 0.176917
## iter  100 value 0.165666
## iter  120 value 0.162127
## iter  140 value 0.160963
## iter  160 value 0.160388
## iter  180 value 0.160118
## iter  200 value 0.159666
## final  value 0.159637 
## stopped after 201 iterations
## iter   20 value 2.324925
## iter   40 value 0.619329
## iter   60 value 0.485693
## iter   80 value 0.485014
## iter  100 value 0.483910
## iter  120 value 0.482128
## iter  140 value 0.482013
## iter  160 value 0.481946
## iter  180 value 0.481865
## iter  200 value 0.481736
## final  value 0.481734 
## stopped after 201 iterations
## iter   20 value 1.599988
## iter   40 value 0.264057
## iter   60 value 0.186130
## iter   80 value 0.178822
## iter  100 value 0.165674
## iter  120 value 0.162260
## iter  140 value 0.161874
## iter  160 value 0.161460
## iter  180 value 0.161082
## iter  200 value 0.160446
## final  value 0.160427 
## stopped after 201 iterations
## iter   20 value 2.021101
## iter   40 value 0.525636
## iter   60 value 0.423183
## iter   80 value 0.409691
## iter  100 value 0.352365
## iter  120 value 0.315883
## iter  140 value 0.288974
## iter  160 value 0.261366
## iter  180 value 0.238946
## iter  200 value 0.226087
## final  value 0.225965 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 0.1081 0.0117 0.0858 0.241 time 0.4

## 
## ________________________________________________________________________________ 
## ***   uGauss1_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.3027    alpha= 0.0311   beta= 162.9203 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.3009    alpha= 0.0183   beta= 141.0339 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.2999    alpha= 0.0311   beta= 162.9339 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.2537    alpha= 0.0178   beta= 139.3681 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.0928    alpha= 0.0224   beta= 113.163 
## brnn brnn gaussNewton i 5 summary statistics 2.6989 7.2838 2.123 8.4143 time 0.06 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.6883    alpha= 0.0067   beta= 18.5558 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.2604    alpha= 0.0177   beta= 139.4029 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.2775    alpha= 0.018    beta= 139.2512 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.7659    alpha= 0.0436   beta= 161.2961 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.0307    alpha= 0.0215   beta= 113.4749 
## brnn brnn gaussNewton i 10 summary statistics 2.6955 7.2657 2.1199 8.4098 time 0.05 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.7659    alpha= 0.0436   beta= 161.2961 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.2978    alpha= 0.031    beta= 162.9428 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.3009    alpha= 0.0183   beta= 141.0339 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 13.1708    alpha= 0.0015   beta= 42.8678 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.6972    alpha= 0.0495   beta= 157.2597 
## brnn brnn gaussNewton i 15 summary statistics 2.2816 5.2059 1.7842 7.4559 time 0.03 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.7389    alpha= 0.0496   beta= 157.3081 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.7659    alpha= 0.0436   beta= 161.2961 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.7659    alpha= 0.0436   beta= 161.2961 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.7659    alpha= 0.0436   beta= 161.2961 
## Number of parameters (weights and biases) to estimate: 15 
## Nguyen-Widrow method
## Scaling factor= 3.5 
## gamma= 14.7659    alpha= 0.0436   beta= 161.2961 
## brnn brnn gaussNewton i 20 summary statistics 2.2526 5.0741 1.7489 7.2646 time 0.01

## 
## ________________________________________________________________________________ 
## ***   uGauss1_CaDENCE::cadence.fit_optim ***
## n.hidden = 5 --> 1 * NLL = -264.6282 ; penalty = 0; BIC = -407.7843 ; AICc = -480.7983 ; AIC = -485.2565
## n.hidden = 5 --> 1 * NLL = -237.9421 ; penalty = 0; BIC = -354.412 ; AICc = -427.426 ; AIC = -431.8841
## n.hidden = 5 --> 1 * NLL = -328.8062 ; penalty = 0; BIC = -536.1403 ; AICc = -609.1542 ; AIC = -613.6124
## n.hidden = 5 --> 1 * NLL = -163.9417 ; penalty = 0; BIC = -206.4114 ; AICc = -279.4253 ; AIC = -283.8835
## n.hidden = 5 --> 1 * NLL = -85.16584 ; penalty = 0; BIC = -48.85953 ; AICc = -121.8735 ; AIC = -126.3317
## CaDENCE cadence.fit optim i 5 summary statistics 21.1914 449.0774 13.2783 49.9159 time 2.89 
## n.hidden = 5 --> 1 * NLL = -370.1964 ; penalty = 0; BIC = -618.9206 ; AICc = -691.9346 ; AIC = -696.3927
## n.hidden = 5 --> 1 * NLL = 71.81933 ; penalty = 0; BIC = 265.1108 ; AICc = 192.0968 ; AIC = 187.6387
## n.hidden = 5 --> 1 * NLL = 46.7548 ; penalty = 0; BIC = 214.9817 ; AICc = 141.9677 ; AIC = 137.5096
## n.hidden = 5 --> 1 * NLL = -342.6498 ; penalty = 0; BIC = -563.8274 ; AICc = -636.8414 ; AIC = -641.2996
## n.hidden = 5 --> 1 * NLL = -22.41603 ; penalty = 0; BIC = 76.64007 ; AICc = 3.626082 ; AIC = -0.8320681
## CaDENCE cadence.fit optim i 10 summary statistics 37.0174 1370.289 21.3326 98.5726 time 3.03 
## n.hidden = 5 --> 1 * NLL = -326.1997 ; penalty = 0; BIC = -530.9273 ; AICc = -603.9413 ; AIC = -608.3995
## n.hidden = 5 --> 1 * NLL = -326.5287 ; penalty = 0; BIC = -531.5853 ; AICc = -604.5993 ; AIC = -609.0574
## n.hidden = 5 --> 1 * NLL = -325.4457 ; penalty = 0; BIC = -529.4193 ; AICc = -602.4333 ; AIC = -606.8914
## n.hidden = 5 --> 1 * NLL = -339.6256 ; penalty = 0; BIC = -557.779 ; AICc = -630.793 ; AIC = -635.2511
## n.hidden = 5 --> 1 * NLL = -322.6782 ; penalty = 0; BIC = -523.8842 ; AICc = -596.8982 ; AIC = -601.3564
## CaDENCE cadence.fit optim i 15 summary statistics 3.1584 9.9754 2.4059 12.0333 time 2.89 
## n.hidden = 5 --> 1 * NLL = -128.3715 ; penalty = 0; BIC = -135.2708 ; AICc = -208.2848 ; AIC = -212.743
## n.hidden = 5 --> 1 * NLL = -172.8786 ; penalty = 0; BIC = -224.2851 ; AICc = -297.2991 ; AIC = -301.7572
## n.hidden = 5 --> 1 * NLL = -95.61207 ; penalty = 0; BIC = -69.752 ; AICc = -142.766 ; AIC = -147.2241
## n.hidden = 5 --> 1 * NLL = -326.7983 ; penalty = 0; BIC = -532.1245 ; AICc = -605.1385 ; AIC = -609.5967
## n.hidden = 5 --> 1 * NLL = -291.5572 ; penalty = 0; BIC = -461.6424 ; AICc = -534.6563 ; AIC = -539.1145
## CaDENCE cadence.fit optim i 20 summary statistics 3.5896 12.8855 2.7435 12.0382 time 3.03

## 
## ________________________________________________________________________________ 
## ***   uGauss1_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 2.3272 5.4158 1.8206 7.3035 time 0.04 
## MachineShop fit none i 10 summary statistics 2.2481 5.054 1.7463 7.1889 time 0.01 
## MachineShop fit none i 15 summary statistics 2.3193 5.3792 1.8207 7.1811 time 0.02 
## MachineShop fit none i 20 summary statistics 2.2371 5.0045 1.738 7.0113 time 0.03

## 
## ________________________________________________________________________________ 
## ***   uGauss1_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 2.6121 6.8229 2.0474 8.2488 time 0.07 
## minpack.lm nlsLM none i 10 summary statistics 2.2379 5.0084 1.7396 7.0056 time 0.06 
## minpack.lm nlsLM none i 15 summary statistics 2.3352 5.4534 1.8228 7.6159 time 0.08 
## minpack.lm nlsLM none i 20 summary statistics 2.2276 4.9622 1.7247 7.4029 time 0.08

## 
## ________________________________________________________________________________ 
## ***   uGauss1_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 2.8902 8.353 2.3039 9.1028 time 0.21 
## monmlp monmlp.fit BFGS i 10 summary statistics 3.1754 10.0833 2.5701 9.9232 time 0.21 
## monmlp monmlp.fit BFGS i 15 summary statistics 2.9018 8.4206 2.3116 8.6395 time 0.23 
## monmlp monmlp.fit BFGS i 20 summary statistics 2.9172 8.5098 2.3199 9.8324 time 0.21

## 
## ________________________________________________________________________________ 
## ***   uGauss1_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## nlsr nlxb none i 5 summary statistics 3.343 11.1755 2.7537 8.2468 time 0.16 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## nlsr nlxb none i 10 summary statistics 2.2323 4.9832 1.7379 6.9359 time 0.16 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## nlsr nlxb none i 15 summary statistics 2.2338 4.9897 1.7377 6.948 time 0.16 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13" "b14" "b15" "b16"
## no weights
## nlsr nlxb none i 20 summary statistics 14.6558 214.7935 8.9346 44.981 time 0.14

## 
## ________________________________________________________________________________ 
## ***   uGauss1_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 6.7492 45.5521 5.558 18.6571 time 0.04 
## nnet nnet none i 10 summary statistics 2.7083 7.335 2.1332 8.5231 time 0.03 
## nnet nnet none i 15 summary statistics 5.1253 26.2686 3.9698 15.3912 time 0.03 
## nnet nnet none i 20 summary statistics 2.2636 5.1237 1.7749 7.0643 time 0.01

## 
## ________________________________________________________________________________ 
## ***   uGauss1_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 4.4078 19.4286 3.419 13.9335 time 0.36 
## qrnn qrnn.fit none i 10 summary statistics 10.7078 114.6563 8.3026 25.6897 time 0.22 
## qrnn qrnn.fit none i 15 summary statistics 8.1213 65.9557 6.3265 23.6297 time 0.28 
## qrnn qrnn.fit none i 20 summary statistics 15.2533 232.6619 8.8155 55.4369 time 0.2

## 
## ________________________________________________________________________________ 
## ***   uGauss1_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 2.3207 5.3857 1.8181 7.1938 time 0.03 
## radiant.model nn none i 10 summary statistics 6.0737 36.8898 4.7761 16.9481 time 0.05 
## radiant.model nn none i 15 summary statistics 2.2779 5.1887 1.7905 7.4729 time 0.05 
## radiant.model nn none i 20 summary statistics 2.3336 5.4459 1.8372 7.2492 time 0.04

## 
## ________________________________________________________________________________ 
## ***   uGauss1_rminer::fit_none ***
## rminer fit none i 5 summary statistics 2.4166 5.8402 1.8994 7.6213 time 0.1 
## rminer fit none i 10 summary statistics 2.3028 5.3028 1.8129 7.3151 time 0.08 
## rminer fit none i 15 summary statistics 2.2462 5.0455 1.73 7.5835 time 0.09 
## rminer fit none i 20 summary statistics 2.2395 5.0154 1.7383 6.9481 time 0.08

## 
## ________________________________________________________________________________ 
## ***   uGauss1_validann::ann_BFGS ***
## initial  value 199.613544 
## iter  20 value 64.940426
## iter  40 value 45.251947
## iter  60 value 3.537065
## iter  80 value 1.121607
## iter 100 value 0.795769
## iter 120 value 0.758866
## iter 140 value 0.738489
## iter 160 value 0.737581
## iter 180 value 0.736794
## iter 200 value 0.736020
## final  value 0.736020 
## stopped after 200 iterations
## initial  value 268.687586 
## iter  20 value 71.641524
## iter  40 value 31.777613
## iter  60 value 10.279181
## iter  80 value 2.026908
## iter 100 value 1.080471
## iter 120 value 1.058960
## iter 140 value 1.031675
## iter 160 value 1.028875
## iter 180 value 1.021573
## iter 200 value 1.018925
## final  value 1.018925 
## stopped after 200 iterations
## initial  value 313.856271 
## iter  20 value 51.410910
## iter  40 value 14.984513
## iter  60 value 3.958355
## iter  80 value 1.616110
## iter 100 value 1.150831
## iter 120 value 1.043982
## iter 140 value 0.945960
## iter 160 value 0.849303
## iter 180 value 0.762520
## iter 200 value 0.750323
## final  value 0.750323 
## stopped after 200 iterations
## initial  value 399.705815 
## iter  20 value 69.879963
## iter  40 value 47.492419
## iter  60 value 34.484806
## iter  80 value 13.059447
## iter 100 value 1.750899
## iter 120 value 1.588176
## iter 140 value 1.299307
## iter 160 value 1.116662
## iter 180 value 1.088211
## iter 200 value 1.053839
## final  value 1.053839 
## stopped after 200 iterations
## initial  value 359.987196 
## iter  20 value 56.399443
## iter  40 value 15.551478
## iter  60 value 3.450227
## iter  80 value 0.813840
## iter 100 value 0.780465
## iter 120 value 0.772586
## iter 140 value 0.745481
## iter 160 value 0.735210
## iter 180 value 0.734594
## iter 200 value 0.733444
## final  value 0.733444 
## stopped after 200 iterations
## validann ann BFGS i 5 summary statistics 2.2591 5.1037 1.7519 7.4128 time 0.78 
## initial  value 287.959363 
## iter  20 value 54.623165
## iter  40 value 20.531015
## iter  60 value 9.868946
## iter  80 value 7.210665
## iter 100 value 6.673283
## iter 120 value 6.489109
## iter 140 value 6.335805
## iter 160 value 6.274318
## iter 180 value 6.227702
## iter 200 value 6.213567
## final  value 6.213567 
## stopped after 200 iterations
## initial  value 330.712123 
## iter  20 value 69.863856
## iter  40 value 35.701732
## iter  60 value 20.323704
## iter  80 value 9.859329
## iter 100 value 1.419476
## iter 120 value 0.952692
## iter 140 value 0.733867
## iter 160 value 0.733017
## iter 180 value 0.732828
## iter 200 value 0.732538
## final  value 0.732538 
## stopped after 200 iterations
## initial  value 436.863620 
## iter  20 value 41.796346
## iter  40 value 19.249870
## iter  60 value 8.545174
## iter  80 value 1.414967
## iter 100 value 1.009761
## iter 120 value 0.809877
## iter 140 value 0.789569
## iter 160 value 0.787176
## iter 180 value 0.781816
## iter 200 value 0.780845
## final  value 0.780845 
## stopped after 200 iterations
## initial  value 293.104392 
## iter  20 value 31.458347
## iter  40 value 17.006336
## iter  60 value 12.779417
## iter  80 value 9.009817
## iter 100 value 6.790865
## iter 120 value 6.593226
## iter 140 value 6.263609
## iter 160 value 6.185232
## iter 180 value 6.140616
## iter 200 value 6.101816
## final  value 6.101816 
## stopped after 200 iterations
## initial  value 250.697984 
## iter  20 value 52.345310
## iter  40 value 7.685672
## iter  60 value 1.347136
## iter  80 value 0.911312
## iter 100 value 0.787069
## iter 120 value 0.777613
## iter 140 value 0.768501
## iter 160 value 0.763030
## iter 180 value 0.752813
## iter 200 value 0.727460
## final  value 0.727460 
## stopped after 200 iterations
## validann ann BFGS i 10 summary statistics 2.2499 5.062 1.7514 7.2657 time 0.81 
## initial  value 243.591293 
## iter  20 value 66.790128
## iter  40 value 19.046561
## iter  60 value 13.328464
## iter  80 value 10.647273
## iter 100 value 8.354528
## iter 120 value 7.451931
## iter 140 value 6.767538
## iter 160 value 6.651903
## iter 180 value 6.455464
## iter 200 value 6.397789
## final  value 6.397789 
## stopped after 200 iterations
## initial  value 208.416722 
## iter  20 value 51.824792
## iter  40 value 3.011607
## iter  60 value 1.560072
## iter  80 value 1.235462
## iter 100 value 1.123130
## iter 120 value 1.083720
## iter 140 value 1.045784
## iter 160 value 1.036298
## iter 180 value 1.030031
## iter 200 value 1.025604
## final  value 1.025604 
## stopped after 200 iterations
## initial  value 287.584639 
## iter  20 value 40.238302
## iter  40 value 27.063457
## iter  60 value 10.167531
## iter  80 value 7.267991
## iter 100 value 6.757664
## iter 120 value 6.667535
## iter 140 value 6.526240
## iter 160 value 6.434504
## iter 180 value 6.386068
## iter 200 value 6.373549
## final  value 6.373549 
## stopped after 200 iterations
## initial  value 275.741511 
## iter  20 value 31.534920
## iter  40 value 10.599729
## iter  60 value 3.738735
## iter  80 value 2.248717
## iter 100 value 1.181245
## iter 120 value 1.107835
## iter 140 value 1.070211
## iter 160 value 1.046263
## iter 180 value 1.025438
## iter 200 value 0.846921
## final  value 0.846921 
## stopped after 200 iterations
## initial  value 336.383978 
## iter  20 value 37.801967
## iter  40 value 1.924194
## iter  60 value 0.795945
## iter  80 value 0.781863
## iter 100 value 0.778877
## iter 120 value 0.767939
## iter 140 value 0.738216
## iter 160 value 0.730534
## iter 180 value 0.729708
## iter 200 value 0.729393
## final  value 0.729393 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 2.2529 5.0755 1.7503 7.2465 time 0.78 
## initial  value 259.241864 
## iter  20 value 43.330972
## iter  40 value 16.620950
## iter  60 value 6.323769
## iter  80 value 5.315165
## iter 100 value 4.636669
## iter 120 value 3.941728
## iter 140 value 2.502704
## iter 160 value 1.305135
## iter 180 value 1.032940
## iter 200 value 0.828109
## final  value 0.828109 
## stopped after 200 iterations
## initial  value 330.450611 
## iter  20 value 51.823606
## iter  40 value 14.649851
## iter  60 value 0.896690
## iter  80 value 0.813212
## iter 100 value 0.786901
## iter 120 value 0.784120
## iter 140 value 0.779730
## iter 160 value 0.777861
## iter 180 value 0.777520
## iter 200 value 0.775815
## final  value 0.775815 
## stopped after 200 iterations
## initial  value 344.525922 
## iter  20 value 80.010392
## iter  40 value 26.913894
## iter  60 value 16.151783
## iter  80 value 7.185652
## iter 100 value 1.814339
## iter 120 value 1.149086
## iter 140 value 1.083688
## iter 160 value 1.048063
## iter 180 value 1.036958
## iter 200 value 1.021770
## final  value 1.021770 
## stopped after 200 iterations
## initial  value 337.991009 
## iter  20 value 101.487696
## iter  40 value 33.073833
## iter  60 value 11.116084
## iter  80 value 1.505005
## iter 100 value 0.966470
## iter 120 value 0.852109
## iter 140 value 0.823551
## iter 160 value 0.809082
## iter 180 value 0.801906
## iter 200 value 0.798802
## final  value 0.798802 
## stopped after 200 iterations
## initial  value 325.887445 
## iter  20 value 60.229090
## iter  40 value 34.812674
## iter  60 value 29.908959
## iter  80 value 28.494710
## iter 100 value 28.106535
## iter 120 value 27.215467
## iter 140 value 27.213283
## iter 160 value 27.164375
## iter 180 value 21.936244
## iter 200 value 4.551577
## final  value 4.551577 
## stopped after 200 iterations
## validann ann BFGS i 20 summary statistics 5.6278 31.6722 4.6571 14.8666 time 0.96

## 
## ________________________________________________________________________________ 
## ***   uGauss1_validann::ann_L-BFGS-B ***
## iter   20 value 49.044203
## iter   40 value 38.723901
## iter   60 value 35.482766
## iter   80 value 32.671320
## iter  100 value 30.931411
## iter  120 value 30.390226
## iter  140 value 29.017990
## iter  160 value 21.993835
## iter  180 value 17.910636
## iter  200 value 12.924690
## final  value 12.866449 
## stopped after 201 iterations
## iter   20 value 39.268573
## iter   40 value 29.305786
## iter   60 value 14.877770
## iter   80 value 3.519571
## iter  100 value 2.088193
## iter  120 value 1.690834
## iter  140 value 1.472766
## iter  160 value 1.295885
## iter  180 value 1.280027
## iter  200 value 1.233586
## final  value 1.233114 
## stopped after 201 iterations
## iter   20 value 69.992213
## iter   40 value 38.582699
## iter   60 value 13.490936
## iter   80 value 11.979816
## iter  100 value 11.428653
## iter  120 value 10.702538
## iter  140 value 10.399932
## iter  160 value 9.937866
## iter  180 value 9.735727
## iter  200 value 9.562558
## final  value 9.554957 
## stopped after 201 iterations
## iter   20 value 66.958496
## iter   40 value 19.896520
## iter   60 value 14.583051
## iter   80 value 11.825776
## iter  100 value 4.413596
## iter  120 value 3.037761
## iter  140 value 2.011395
## iter  160 value 1.720927
## iter  180 value 1.657186
## iter  200 value 1.624205
## final  value 1.619475 
## stopped after 201 iterations
## iter   20 value 86.521900
## iter   40 value 24.601180
## iter   60 value 3.725068
## iter   80 value 2.548767
## iter  100 value 1.406663
## iter  120 value 1.092685
## iter  140 value 0.925216
## iter  160 value 0.838622
## iter  180 value 0.822861
## iter  200 value 0.789492
## final  value 0.788642 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 2.3426 5.4878 1.8182 7.4934 time 0.84 
## iter   20 value 42.357858
## iter   40 value 23.037635
## iter   60 value 14.713435
## iter   80 value 12.609705
## iter  100 value 10.287053
## iter  120 value 7.831879
## iter  140 value 1.919001
## iter  160 value 1.515558
## iter  180 value 1.101770
## iter  200 value 1.010068
## final  value 1.009584 
## stopped after 201 iterations
## iter   20 value 48.051999
## iter   40 value 38.873493
## iter   60 value 25.166561
## iter   80 value 12.401167
## iter  100 value 10.224705
## iter  120 value 3.523682
## iter  140 value 2.195973
## iter  160 value 1.899962
## iter  180 value 1.631980
## iter  200 value 1.213153
## final  value 1.206528 
## stopped after 201 iterations
## iter   20 value 56.714615
## iter   40 value 23.459354
## iter   60 value 13.416704
## iter   80 value 11.194881
## iter  100 value 8.400338
## iter  120 value 3.183387
## iter  140 value 1.116318
## iter  160 value 0.878852
## iter  180 value 0.868246
## iter  200 value 0.833247
## final  value 0.832694 
## stopped after 201 iterations
## iter   20 value 50.555660
## iter   40 value 29.116944
## iter   60 value 18.781380
## iter   80 value 17.383410
## iter  100 value 17.161240
## iter  120 value 17.052029
## iter  140 value 16.807280
## iter  160 value 16.615040
## iter  180 value 16.413238
## iter  200 value 16.257462
## final  value 16.244323 
## stopped after 201 iterations
## iter   20 value 57.562682
## iter   40 value 32.295817
## iter   60 value 31.659525
## iter   80 value 27.879840
## iter  100 value 18.238250
## iter  120 value 13.986694
## iter  140 value 13.205216
## iter  160 value 12.718794
## iter  180 value 12.518127
## iter  200 value 12.430222
## final  value 12.406058 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 9.2913 86.3277 7.1195 28.0208 time 0.89 
## iter   20 value 56.629552
## iter   40 value 20.071546
## iter   60 value 4.253214
## iter   80 value 2.184442
## iter  100 value 1.660250
## iter  120 value 1.600407
## iter  140 value 1.524879
## iter  160 value 1.511433
## iter  180 value 1.451480
## iter  200 value 1.398995
## final  value 1.398482 
## stopped after 201 iterations
## iter   20 value 53.611056
## iter   40 value 21.851961
## iter   60 value 12.760217
## iter   80 value 9.453639
## iter  100 value 8.643187
## iter  120 value 5.631173
## iter  140 value 3.695872
## iter  160 value 2.770882
## iter  180 value 2.497540
## iter  200 value 1.869510
## final  value 1.866007 
## stopped after 201 iterations
## iter   20 value 37.743934
## iter   40 value 33.286228
## iter   60 value 22.673077
## iter   80 value 19.670353
## iter  100 value 18.666008
## iter  120 value 15.983682
## iter  140 value 4.384888
## iter  160 value 2.758274
## iter  180 value 2.350613
## iter  200 value 1.921911
## final  value 1.890913 
## stopped after 201 iterations
## iter   20 value 42.352554
## iter   40 value 33.037109
## iter   60 value 28.389140
## iter   80 value 11.973506
## iter  100 value 8.379445
## iter  120 value 3.091378
## iter  140 value 2.503434
## iter  160 value 2.283141
## iter  180 value 2.004404
## iter  200 value 1.713744
## final  value 1.699836 
## stopped after 201 iterations
## iter   20 value 46.101529
## iter   40 value 31.839791
## iter   60 value 26.219807
## iter   80 value 19.982806
## iter  100 value 16.322103
## iter  120 value 15.295852
## iter  140 value 14.530462
## iter  160 value 14.115072
## iter  180 value 14.097259
## iter  200 value 14.077644
## final  value 14.076569 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 9.8971 97.9519 7.0541 29.6291 time 0.86 
## iter   20 value 36.262755
## iter   40 value 26.266733
## iter   60 value 22.513253
## iter   80 value 18.801022
## iter  100 value 10.709905
## iter  120 value 5.124852
## iter  140 value 3.096555
## iter  160 value 2.767169
## iter  180 value 2.302589
## iter  200 value 1.820486
## final  value 1.807683 
## stopped after 201 iterations
## iter   20 value 81.018027
## iter   40 value 31.366982
## iter   60 value 10.565276
## iter   80 value 2.858830
## iter  100 value 2.049654
## iter  120 value 1.667489
## iter  140 value 1.555224
## iter  160 value 1.426736
## iter  180 value 1.391763
## iter  200 value 1.327326
## final  value 1.322717 
## stopped after 201 iterations
## iter   20 value 71.603978
## iter   40 value 24.771347
## iter   60 value 17.120139
## iter   80 value 14.705656
## iter  100 value 14.280576
## iter  120 value 12.971407
## iter  140 value 11.337259
## iter  160 value 9.367353
## iter  180 value 9.149466
## iter  200 value 8.867315
## final  value 8.827724 
## stopped after 201 iterations
## iter   20 value 43.264135
## iter   40 value 35.393912
## iter   60 value 21.514079
## iter   80 value 18.622662
## iter  100 value 16.318863
## iter  120 value 4.884072
## iter  140 value 2.563207
## iter  160 value 1.804945
## iter  180 value 1.522459
## iter  200 value 1.476716
## final  value 1.475768 
## stopped after 201 iterations
## iter   20 value 85.788068
## iter   40 value 48.110980
## iter   60 value 10.114705
## iter   80 value 5.161659
## iter  100 value 1.561310
## iter  120 value 1.103738
## iter  140 value 1.046066
## iter  160 value 0.880360
## iter  180 value 0.855493
## iter  200 value 0.841713
## final  value 0.841380 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 2.4197 5.8547 1.9296 7.4555 time 0.86

## 
## ________________________________________________________________________________ 
## ***   uGauss2_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4697    alpha= 0.0212   beta= 120.2874 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4698    alpha= 0.0212   beta= 120.2876 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4697    alpha= 0.0212   beta= 120.2874 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 10.932     alpha= 0.0207   beta= 24.2931 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 9.9796     alpha= 0.0004   beta= 54.2941 
## brnn brnn gaussNewton i 5 summary statistics 3.5508 12.6079 2.9377 10.2283 time 0.08 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4697    alpha= 0.0212   beta= 120.2874 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 10.0785    alpha= 0.0007   beta= 52.8564 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 10.0785    alpha= 0.0007   beta= 52.8559 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4697    alpha= 0.0212   beta= 120.2874 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4698    alpha= 0.0212   beta= 120.2876 
## brnn brnn gaussNewton i 10 summary statistics 2.3781 5.6555 1.8657 7.3796 time 0.04 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4697    alpha= 0.0212   beta= 120.2874 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4698    alpha= 0.0212   beta= 120.2877 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4698    alpha= 0.0212   beta= 120.2877 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4698    alpha= 0.0212   beta= 120.2877 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 10.0785    alpha= 0.0007   beta= 52.8561 
## brnn brnn gaussNewton i 15 summary statistics 3.598 12.9455 2.9794 10.3725 time 0.06 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4698    alpha= 0.0212   beta= 120.2877 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4698    alpha= 0.0212   beta= 120.2876 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4697    alpha= 0.0212   beta= 120.2874 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 10.0785    alpha= 0.0007   beta= 52.857 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4697    alpha= 0.0212   beta= 120.2874 
## brnn brnn gaussNewton i 20 summary statistics 2.3781 5.6555 1.8657 7.3797 time 0.05

## 
## ________________________________________________________________________________ 
## ***   uGauss2_CaDENCE::cadence.fit_optim ***
## n.hidden = 4 --> 1 * NLL = -201.1487 ; penalty = 0; BIC = -302.911 ; AICc = -363.3363 ; AIC = -366.2973
## n.hidden = 4 --> 1 * NLL = -210.4412 ; penalty = 0; BIC = -321.4962 ; AICc = -381.9214 ; AIC = -384.8825
## n.hidden = 4 --> 1 * NLL = -215.317 ; penalty = 0; BIC = -331.2476 ; AICc = -391.6729 ; AIC = -394.6339
## n.hidden = 4 --> 1 * NLL = -285.3479 ; penalty = 0; BIC = -471.3095 ; AICc = -531.7348 ; AIC = -534.6958
## n.hidden = 4 --> 1 * NLL = -201.6434 ; penalty = 0; BIC = -303.9004 ; AICc = -364.3257 ; AIC = -367.2867
## CaDENCE cadence.fit optim i 5 summary statistics 8.5179 72.5542 5.0559 27.6055 time 2.31 
## n.hidden = 4 --> 1 * NLL = -119.4165 ; penalty = 0; BIC = -139.4467 ; AICc = -199.8719 ; AIC = -202.833
## n.hidden = 4 --> 1 * NLL = -3.301943 ; penalty = 0; BIC = 92.78241 ; AICc = 32.35715 ; AIC = 29.39611
## n.hidden = 4 --> 1 * NLL = -95.37962 ; penalty = 0; BIC = -91.37294 ; AICc = -151.7982 ; AIC = -154.7592
## n.hidden = 4 --> 1 * NLL = -225.335 ; penalty = 0; BIC = -351.2837 ; AICc = -411.709 ; AIC = -414.67
## n.hidden = 4 --> 1 * NLL = -157.9433 ; penalty = 0; BIC = -216.5003 ; AICc = -276.9256 ; AIC = -279.8866
## CaDENCE cadence.fit optim i 10 summary statistics 16.7528 280.6555 8.506 58.7016 time 2.36 
## n.hidden = 4 --> 1 * NLL = -94.9487 ; penalty = 0; BIC = -90.51111 ; AICc = -150.9364 ; AIC = -153.8974
## n.hidden = 4 --> 1 * NLL = -202.5622 ; penalty = 0; BIC = -305.7381 ; AICc = -366.1634 ; AIC = -369.1244
## n.hidden = 4 --> 1 * NLL = -95.76759 ; penalty = 0; BIC = -92.14888 ; AICc = -152.5741 ; AIC = -155.5352
## n.hidden = 4 --> 1 * NLL = -201.7466 ; penalty = 0; BIC = -304.107 ; AICc = -364.5322 ; AIC = -367.4933
## n.hidden = 4 --> 1 * NLL = -323.549 ; penalty = 0; BIC = -547.7117 ; AICc = -608.137 ; AIC = -611.098
## CaDENCE cadence.fit optim i 15 summary statistics 2.558 6.5435 2.0296 7.9177 time 2.3 
## n.hidden = 4 --> 1 * NLL = -225.3429 ; penalty = 0; BIC = -351.2994 ; AICc = -411.7247 ; AIC = -414.6857
## n.hidden = 4 --> 1 * NLL = -95.23796 ; penalty = 0; BIC = -91.08963 ; AICc = -151.5149 ; AIC = -154.4759
## n.hidden = 4 --> 1 * NLL = -215.2447 ; penalty = 0; BIC = -331.103 ; AICc = -391.5283 ; AIC = -394.4893
## n.hidden = 4 --> 1 * NLL = -203.2343 ; penalty = 0; BIC = -307.0823 ; AICc = -367.5076 ; AIC = -370.4686
## n.hidden = 4 --> 1 * NLL = -58.97837 ; penalty = 0; BIC = -18.57044 ; AICc = -78.99569 ; AIC = -81.95673
## CaDENCE cadence.fit optim i 20 summary statistics 11.6319 135.3022 8.3228 28.3104 time 2.32

## 
## ________________________________________________________________________________ 
## ***   uGauss2_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 2.573 6.6203 2.0637 7.8422 time 0.02 
## MachineShop fit none i 10 summary statistics 6.0789 36.9531 4.6167 17.2315 time 0.03 
## MachineShop fit none i 15 summary statistics 2.3689 5.6117 1.8633 7.5461 time 0.04 
## MachineShop fit none i 20 summary statistics 2.3644 5.5903 1.8598 7.5635 time 0.05

## 
## ________________________________________________________________________________ 
## ***   uGauss2_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 8.3794 70.2136 5.7627 29.2459 time 0.04 
## minpack.lm nlsLM none i 10 summary statistics 4.9921 24.921 3.761 16.3421 time 0.05 
## minpack.lm nlsLM none i 15 summary statistics 2.3335 5.4452 1.8313 7.324 time 0.03 
## minpack.lm nlsLM none i 20 summary statistics 3.5011 12.2578 2.6021 13.3969 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uGauss2_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 3.4563 11.9461 2.7565 10.6372 time 0.22 
## monmlp monmlp.fit BFGS i 10 summary statistics 4.2114 17.7356 3.3037 12.8059 time 0.22 
## monmlp monmlp.fit BFGS i 15 summary statistics 8.9611 80.3017 6.2984 30.143 time 0.22 
## monmlp monmlp.fit BFGS i 20 summary statistics 8.0067 64.1066 5.7553 23.7322 time 0.21

## 
## ________________________________________________________________________________ 
## ***   uGauss2_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## nlsr nlxb none i 5 summary statistics 8.0767 65.2323 5.1869 29.256 time 0.03 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## nlsr nlxb none i 10 summary statistics 2.3338 5.4467 1.8312 7.3306 time 0.12 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## nlsr nlxb none i 15 summary statistics 2.3334 5.4446 1.8308 7.3296 time 0.11 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## nlsr nlxb none i 20 summary statistics 2.9751 8.8512 2.3831 9.0646 time 0.13

## 
## ________________________________________________________________________________ 
## ***   uGauss2_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 6.1248 37.5136 4.7261 17.0978 time 0.01 
## nnet nnet none i 10 summary statistics 2.3782 5.6557 1.8702 7.63 time 0.02 
## nnet nnet none i 15 summary statistics 6.0923 37.1162 4.5975 17.4169 time 0.02 
## nnet nnet none i 20 summary statistics 3.0362 9.2185 2.4343 9.3329 time 0.01

## 
## ________________________________________________________________________________ 
## ***   uGauss2_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 2.3606 5.5722 1.8303 7.4027 time 0.27 
## qrnn qrnn.fit none i 10 summary statistics 7.3064 53.3831 5.1111 23.2247 time 0.18 
## qrnn qrnn.fit none i 15 summary statistics 3.4427 11.8521 2.5353 13.0345 time 0.44 
## qrnn qrnn.fit none i 20 summary statistics 3.0506 9.3062 2.3269 9.4192 time 0.25

## 
## ________________________________________________________________________________ 
## ***   uGauss2_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 6.0884 37.0683 4.5903 17.4376 time 0.03 
## radiant.model nn none i 10 summary statistics 5.6746 32.2012 4.3721 17.8157 time 0.05 
## radiant.model nn none i 15 summary statistics 6.0948 37.1467 4.6004 17.4269 time 0.05 
## radiant.model nn none i 20 summary statistics 2.5729 6.6199 2.035 7.5265 time 0.01

## 
## ________________________________________________________________________________ 
## ***   uGauss2_rminer::fit_none ***
## rminer fit none i 5 summary statistics 2.3865 5.6952 1.8754 7.6581 time 0.06 
## rminer fit none i 10 summary statistics 2.3605 5.5719 1.8545 7.3104 time 0.08 
## rminer fit none i 15 summary statistics 2.3556 5.5489 1.8512 7.4871 time 0.06 
## rminer fit none i 20 summary statistics 3.0212 9.1275 2.4213 9.2651 time 0.06

## 
## ________________________________________________________________________________ 
## ***   uGauss2_validann::ann_BFGS ***
## initial  value 324.829425 
## iter  20 value 29.598254
## iter  40 value 10.622203
## iter  60 value 3.724587
## iter  80 value 1.610686
## iter 100 value 1.285815
## iter 120 value 1.217383
## iter 140 value 1.201998
## iter 160 value 1.193518
## iter 180 value 1.190466
## iter 200 value 1.184561
## final  value 1.184561 
## stopped after 200 iterations
## initial  value 212.832587 
## iter  20 value 46.885263
## iter  40 value 23.777075
## iter  60 value 16.183242
## iter  80 value 14.584524
## iter 100 value 13.077774
## iter 120 value 13.059297
## iter 140 value 11.971193
## iter 160 value 7.885890
## iter 180 value 7.154686
## iter 200 value 6.902793
## final  value 6.902793 
## stopped after 200 iterations
## initial  value 246.260938 
## iter  20 value 34.975289
## iter  40 value 7.985059
## iter  60 value 6.750122
## iter  80 value 6.534319
## iter 100 value 6.490787
## iter 120 value 6.476260
## iter 140 value 6.462148
## iter 160 value 6.456384
## iter 180 value 6.455206
## iter 200 value 6.451385
## final  value 6.451385 
## stopped after 200 iterations
## initial  value 198.743445 
## iter  20 value 28.007229
## iter  40 value 8.841008
## iter  60 value 4.828478
## iter  80 value 1.941632
## iter 100 value 1.146478
## iter 120 value 1.050593
## iter 140 value 0.996667
## iter 160 value 0.980357
## iter 180 value 0.975477
## iter 200 value 0.972067
## final  value 0.972067 
## stopped after 200 iterations
## initial  value 266.914703 
## iter  20 value 35.074463
## iter  40 value 15.884144
## iter  60 value 13.492452
## iter  80 value 9.326266
## iter 100 value 3.843196
## iter 120 value 2.016984
## iter 140 value 1.321507
## iter 160 value 1.137434
## iter 180 value 1.018935
## iter 200 value 0.994383
## final  value 0.994383 
## stopped after 200 iterations
## validann ann BFGS i 5 summary statistics 2.3816 5.6719 1.8796 7.5952 time 0.61 
## initial  value 415.541527 
## iter  20 value 20.964060
## iter  40 value 15.378537
## iter  60 value 14.150762
## iter  80 value 13.072740
## iter 100 value 13.040966
## iter 120 value 12.760909
## iter 140 value 10.896577
## iter 160 value 6.172826
## iter 180 value 4.837629
## iter 200 value 4.573232
## final  value 4.573232 
## stopped after 200 iterations
## initial  value 356.800140 
## iter  20 value 50.878851
## iter  40 value 34.892568
## iter  60 value 12.609299
## iter  80 value 8.622357
## iter 100 value 7.149709
## iter 120 value 6.693163
## iter 140 value 6.627714
## iter 160 value 6.602103
## iter 180 value 6.577271
## iter 200 value 6.572975
## final  value 6.572975 
## stopped after 200 iterations
## initial  value 466.278816 
## iter  20 value 48.448569
## iter  40 value 15.680087
## iter  60 value 9.009146
## iter  80 value 2.876712
## iter 100 value 1.738705
## iter 120 value 1.286635
## iter 140 value 1.049471
## iter 160 value 0.994107
## iter 180 value 0.982975
## iter 200 value 0.976680
## final  value 0.976680 
## stopped after 200 iterations
## initial  value 262.642889 
## iter  20 value 14.242578
## iter  40 value 6.417513
## iter  60 value 4.323728
## iter  80 value 1.537529
## iter 100 value 1.232381
## iter 120 value 1.175381
## iter 140 value 1.057524
## iter 160 value 0.982275
## iter 180 value 0.976795
## iter 200 value 0.974621
## final  value 0.974621 
## stopped after 200 iterations
## initial  value 246.219043 
## iter  20 value 10.701241
## iter  40 value 4.057890
## iter  60 value 2.268882
## iter  80 value 1.412928
## iter 100 value 1.132758
## iter 120 value 1.010916
## iter 140 value 0.984922
## iter 160 value 0.974799
## iter 180 value 0.971911
## iter 200 value 0.970989
## final  value 0.970989 
## stopped after 200 iterations
## validann ann BFGS i 10 summary statistics 2.3534 5.5385 1.8458 7.4121 time 0.6 
## initial  value 256.427726 
## iter  20 value 26.160153
## iter  40 value 9.842204
## iter  60 value 3.706787
## iter  80 value 1.334689
## iter 100 value 1.153265
## iter 120 value 1.073292
## iter 140 value 0.988693
## iter 160 value 0.973310
## iter 180 value 0.971702
## iter 200 value 0.969008
## final  value 0.969008 
## stopped after 200 iterations
## initial  value 275.689642 
## iter  20 value 20.583653
## iter  40 value 7.067579
## iter  60 value 2.826844
## iter  80 value 1.510433
## iter 100 value 1.273265
## iter 120 value 1.058009
## iter 140 value 0.999419
## iter 160 value 0.983781
## iter 180 value 0.979563
## iter 200 value 0.974942
## final  value 0.974942 
## stopped after 200 iterations
## initial  value 330.666739 
## iter  20 value 46.667002
## iter  40 value 20.997792
## iter  60 value 17.053704
## iter  80 value 15.856172
## iter 100 value 14.037155
## iter 120 value 12.776072
## iter 140 value 5.198744
## iter 160 value 1.984252
## iter 180 value 1.311633
## iter 200 value 1.110513
## final  value 1.110513 
## stopped after 200 iterations
## initial  value 253.040145 
## iter  20 value 43.732010
## iter  40 value 13.506854
## iter  60 value 11.231625
## iter  80 value 6.046115
## iter 100 value 2.522647
## iter 120 value 1.791998
## iter 140 value 1.689000
## iter 160 value 1.647313
## iter 180 value 1.605538
## iter 200 value 1.592091
## final  value 1.592091 
## stopped after 200 iterations
## initial  value 263.940949 
## iter  20 value 56.178329
## iter  40 value 49.237473
## iter  60 value 31.726922
## iter  80 value 11.023052
## iter 100 value 5.450522
## iter 120 value 3.750771
## iter 140 value 3.451572
## iter 160 value 3.318125
## iter 180 value 3.275985
## iter 200 value 3.242404
## final  value 3.242404 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 4.3005 18.4945 3.3821 11.9728 time 0.59 
## initial  value 241.243832 
## iter  20 value 50.333965
## iter  40 value 8.375688
## iter  60 value 1.797659
## iter  80 value 1.411097
## iter 100 value 1.128425
## iter 120 value 1.013849
## iter 140 value 0.987176
## iter 160 value 0.980431
## iter 180 value 0.975063
## iter 200 value 0.972963
## final  value 0.972963 
## stopped after 200 iterations
## initial  value 238.117964 
## iter  20 value 31.398600
## iter  40 value 15.355227
## iter  60 value 13.845798
## iter  80 value 12.276643
## iter 100 value 12.057551
## iter 120 value 11.887696
## iter 140 value 11.826448
## iter 160 value 11.793072
## iter 180 value 11.766026
## iter 200 value 11.747368
## final  value 11.747368 
## stopped after 200 iterations
## initial  value 322.320482 
## iter  20 value 42.634901
## iter  40 value 14.767567
## iter  60 value 13.173273
## iter  80 value 13.068213
## iter 100 value 13.067252
## iter 120 value 13.064917
## iter 140 value 13.060202
## iter 160 value 13.050746
## iter 180 value 13.032880
## iter 200 value 13.015081
## final  value 13.015081 
## stopped after 200 iterations
## initial  value 209.655109 
## iter  20 value 46.477635
## iter  40 value 13.938457
## iter  60 value 6.706810
## iter  80 value 3.905298
## iter 100 value 1.440128
## iter 120 value 1.137294
## iter 140 value 1.108334
## iter 160 value 1.065707
## iter 180 value 1.007537
## iter 200 value 0.976869
## final  value 0.976869 
## stopped after 200 iterations
## initial  value 234.507352 
## iter  20 value 46.615549
## iter  40 value 25.637800
## iter  60 value 13.029030
## iter  80 value 4.941779
## iter 100 value 2.010981
## iter 120 value 1.537658
## iter 140 value 1.137054
## iter 160 value 1.014961
## iter 180 value 0.994788
## iter 200 value 0.980824
## final  value 0.980824 
## stopped after 200 iterations
## validann ann BFGS i 20 summary statistics 2.3653 5.5946 1.8554 7.4963 time 0.61

## 
## ________________________________________________________________________________ 
## ***   uGauss2_validann::ann_L-BFGS-B ***
## iter   20 value 43.057937
## iter   40 value 18.117254
## iter   60 value 16.163929
## iter   80 value 15.890409
## iter  100 value 15.234861
## iter  120 value 15.013666
## iter  140 value 14.947667
## iter  160 value 14.915003
## iter  180 value 14.894328
## iter  200 value 14.870977
## final  value 14.870666 
## stopped after 201 iterations
## iter   20 value 42.915716
## iter   40 value 16.662020
## iter   60 value 12.675119
## iter   80 value 11.367272
## iter  100 value 7.483664
## iter  120 value 4.726614
## iter  140 value 3.298756
## iter  160 value 3.137838
## iter  180 value 2.992441
## iter  200 value 2.590210
## final  value 2.558589 
## stopped after 201 iterations
## iter   20 value 38.588256
## iter   40 value 19.588149
## iter   60 value 16.892287
## iter   80 value 13.685472
## iter  100 value 13.225537
## iter  120 value 13.098994
## iter  140 value 12.845434
## iter  160 value 12.774692
## iter  180 value 12.331142
## iter  200 value 12.134520
## final  value 12.130327 
## stopped after 201 iterations
## iter   20 value 38.704089
## iter   40 value 14.771787
## iter   60 value 10.648697
## iter   80 value 6.558048
## iter  100 value 4.078989
## iter  120 value 2.622566
## iter  140 value 2.553836
## iter  160 value 2.460728
## iter  180 value 2.370304
## iter  200 value 2.326806
## final  value 2.321327 
## stopped after 201 iterations
## iter   20 value 40.232369
## iter   40 value 15.150204
## iter   60 value 14.437450
## iter   80 value 13.329556
## iter  100 value 10.002460
## iter  120 value 8.465352
## iter  140 value 7.000035
## iter  160 value 5.215373
## iter  180 value 3.420121
## iter  200 value 2.680395
## final  value 2.665047 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 3.8989 15.2013 3.1868 12.0111 time 0.62 
## iter   20 value 40.322653
## iter   40 value 8.972496
## iter   60 value 5.709593
## iter   80 value 3.586006
## iter  100 value 2.704373
## iter  120 value 2.542096
## iter  140 value 2.434385
## iter  160 value 1.779285
## iter  180 value 1.726708
## iter  200 value 1.707350
## final  value 1.705226 
## stopped after 201 iterations
## iter   20 value 42.064527
## iter   40 value 18.660986
## iter   60 value 14.868956
## iter   80 value 14.335485
## iter  100 value 9.058832
## iter  120 value 6.017571
## iter  140 value 5.148442
## iter  160 value 5.035678
## iter  180 value 4.979631
## iter  200 value 4.700740
## final  value 4.700364 
## stopped after 201 iterations
## iter   20 value 44.163328
## iter   40 value 13.002985
## iter   60 value 8.313654
## iter   80 value 3.671843
## iter  100 value 3.045114
## iter  120 value 2.727250
## iter  140 value 1.829820
## iter  160 value 1.755243
## iter  180 value 1.594114
## iter  200 value 1.339336
## final  value 1.334550 
## stopped after 201 iterations
## iter   20 value 45.545097
## iter   40 value 25.657187
## iter   60 value 15.737780
## iter   80 value 14.400287
## iter  100 value 12.187417
## iter  120 value 11.837683
## iter  140 value 11.413894
## iter  160 value 11.118794
## iter  180 value 11.064283
## iter  200 value 11.033174
## final  value 11.032981 
## stopped after 201 iterations
## iter   20 value 42.049288
## iter   40 value 8.247870
## iter   60 value 7.700854
## iter   80 value 7.475627
## iter  100 value 7.164168
## iter  120 value 6.899059
## iter  140 value 6.862113
## iter  160 value 6.859171
## iter  180 value 6.854535
## iter  200 value 6.842768
## final  value 6.841487 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 6.2469 39.0235 4.8579 17.5935 time 0.62 
## iter   20 value 41.539689
## iter   40 value 24.109572
## iter   60 value 22.857432
## iter   80 value 16.395670
## iter  100 value 15.752413
## iter  120 value 15.546186
## iter  140 value 15.541286
## iter  160 value 15.539457
## iter  180 value 15.538363
## iter  200 value 15.536419
## final  value 15.536400 
## stopped after 201 iterations
## iter   20 value 40.026117
## iter   40 value 15.953400
## iter   60 value 14.787311
## iter   80 value 13.026614
## iter  100 value 9.115326
## iter  120 value 6.331767
## iter  140 value 4.246976
## iter  160 value 3.803419
## iter  180 value 3.538423
## iter  200 value 3.192387
## final  value 3.162423 
## stopped after 201 iterations
## iter   20 value 43.482652
## iter   40 value 20.182334
## iter   60 value 15.902623
## iter   80 value 15.521578
## iter  100 value 14.641657
## iter  120 value 14.268848
## iter  140 value 13.295245
## iter  160 value 12.839710
## iter  180 value 11.543482
## iter  200 value 8.368787
## final  value 8.324851 
## stopped after 201 iterations
## iter   20 value 33.199069
## iter   40 value 10.135230
## iter   60 value 8.771097
## iter   80 value 6.742239
## iter  100 value 5.641139
## iter  120 value 3.695178
## iter  140 value 3.013407
## iter  160 value 2.876257
## iter  180 value 2.691902
## iter  200 value 2.663565
## final  value 2.663122 
## stopped after 201 iterations
## iter   20 value 41.617182
## iter   40 value 16.029741
## iter   60 value 15.311229
## iter   80 value 14.239646
## iter  100 value 10.887147
## iter  120 value 7.296250
## iter  140 value 6.868614
## iter  160 value 6.128712
## iter  180 value 5.740254
## iter  200 value 4.250063
## final  value 4.191760 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 4.8897 23.9096 3.5916 17.2923 time 0.7 
## iter   20 value 33.178082
## iter   40 value 15.463122
## iter   60 value 12.543857
## iter   80 value 12.283414
## iter  100 value 11.306184
## iter  120 value 10.177734
## iter  140 value 9.680209
## iter  160 value 9.298498
## iter  180 value 8.810808
## iter  200 value 7.622173
## final  value 7.584274 
## stopped after 201 iterations
## iter   20 value 40.477636
## iter   40 value 20.543335
## iter   60 value 14.884064
## iter   80 value 12.899620
## iter  100 value 11.968652
## iter  120 value 11.582795
## iter  140 value 11.127917
## iter  160 value 10.718885
## iter  180 value 9.939435
## iter  200 value 9.407860
## final  value 9.400320 
## stopped after 201 iterations
## iter   20 value 43.527537
## iter   40 value 18.991569
## iter   60 value 12.150314
## iter   80 value 10.382333
## iter  100 value 9.325120
## iter  120 value 8.218696
## iter  140 value 5.354164
## iter  160 value 4.127846
## iter  180 value 3.616179
## iter  200 value 2.654636
## final  value 2.644240 
## stopped after 201 iterations
## iter   20 value 14.225083
## iter   40 value 7.360182
## iter   60 value 7.287383
## iter   80 value 7.084397
## iter  100 value 6.953985
## iter  120 value 6.903463
## iter  140 value 6.773586
## iter  160 value 6.712073
## iter  180 value 6.689453
## iter  200 value 6.647728
## final  value 6.643635 
## stopped after 201 iterations
## iter   20 value 41.492489
## iter   40 value 10.861627
## iter   60 value 9.018355
## iter   80 value 8.073916
## iter  100 value 7.106534
## iter  120 value 6.634428
## iter  140 value 6.001369
## iter  160 value 5.699669
## iter  180 value 5.439581
## iter  200 value 3.955401
## final  value 3.894215 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 4.713 22.2124 3.6944 12.4547 time 0.67

## 
## ________________________________________________________________________________ 
## ***   uGauss3_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.69      alpha= 0.0483   beta= 75.1743 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.6897    alpha= 0.0483   beta= 75.1764 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.8754    alpha= 0.0481   beta= 96.029 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.7763    alpha= 0.0367   beta= 124.1513 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.6896    alpha= 0.0483   beta= 75.1766 
## brnn brnn gaussNewton i 5 summary statistics 3.1966 10.2185 2.5109 10.0156 time 0.03 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.4151    alpha= 0.053    beta= 132.0234 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.6896    alpha= 0.0483   beta= 75.177 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.7763    alpha= 0.0367   beta= 124.1513 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 10.4245    alpha= 0.009    beta= 5.2048 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.1368    alpha= 0.0547   beta= 123.871 
## brnn brnn gaussNewton i 10 summary statistics 2.4932 6.216 1.9675 7.4445 time 0.03 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.8754    alpha= 0.0481   beta= 96.029 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.1022    alpha= 0.0534   beta= 124.0395 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.6897    alpha= 0.0483   beta= 75.1764 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.1847    alpha= 0.0471   beta= 63.6557 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.8754    alpha= 0.0481   beta= 96.029 
## brnn brnn gaussNewton i 15 summary statistics 2.8273 7.9934 2.2154 7.6585 time 0.03 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.7763    alpha= 0.0367   beta= 124.1513 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.1022    alpha= 0.0534   beta= 124.0394 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.69      alpha= 0.0483   beta= 75.1743 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.69      alpha= 0.0483   beta= 75.1743 
## Number of parameters (weights and biases) to estimate: 12 
## Nguyen-Widrow method
## Scaling factor= 2.8 
## gamma= 11.1022    alpha= 0.0534   beta= 124.0395 
## brnn brnn gaussNewton i 20 summary statistics 2.4917 6.2084 1.9659 7.4363 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uGauss3_CaDENCE::cadence.fit_optim ***
## n.hidden = 4 --> 1 * NLL = -306.0493 ; penalty = 0; BIC = -512.7123 ; AICc = -573.1376 ; AIC = -576.0986
## n.hidden = 4 --> 1 * NLL = -297.6341 ; penalty = 0; BIC = -495.882 ; AICc = -556.3072 ; AIC = -559.2682
## n.hidden = 4 --> 1 * NLL = -294.7149 ; penalty = 0; BIC = -490.0434 ; AICc = -550.4687 ; AIC = -553.4297
## n.hidden = 4 --> 1 * NLL = -296.3637 ; penalty = 0; BIC = -493.3411 ; AICc = -553.7664 ; AIC = -556.7274
## n.hidden = 4 --> 1 * NLL = -298.7828 ; penalty = 0; BIC = -498.1794 ; AICc = -558.6046 ; AIC = -561.5656
## CaDENCE cadence.fit optim i 5 summary statistics 3.7906 14.3688 2.7099 13.0438 time 2.47 
## n.hidden = 4 --> 1 * NLL = -301.1142 ; penalty = 0; BIC = -502.842 ; AICc = -563.2673 ; AIC = -566.2283
## n.hidden = 4 --> 1 * NLL = -299.1416 ; penalty = 0; BIC = -498.8969 ; AICc = -559.3222 ; AIC = -562.2832
## n.hidden = 4 --> 1 * NLL = -362.4188 ; penalty = 0; BIC = -625.4513 ; AICc = -685.8765 ; AIC = -688.8376
## n.hidden = 4 --> 1 * NLL = -243.6122 ; penalty = 0; BIC = -387.838 ; AICc = -448.2633 ; AIC = -451.2243
## n.hidden = 4 --> 1 * NLL = -302.5014 ; penalty = 0; BIC = -505.6165 ; AICc = -566.0418 ; AIC = -569.0028
## CaDENCE cadence.fit optim i 10 summary statistics 3.3302 11.0904 2.4951 11.2009 time 2.35 
## n.hidden = 4 --> 1 * NLL = -301.1935 ; penalty = 0; BIC = -503.0008 ; AICc = -563.426 ; AIC = -566.3871
## n.hidden = 4 --> 1 * NLL = -298.9512 ; penalty = 0; BIC = -498.5161 ; AICc = -558.9414 ; AIC = -561.9024
## n.hidden = 4 --> 1 * NLL = -298.6397 ; penalty = 0; BIC = -497.893 ; AICc = -558.3183 ; AIC = -561.2793
## n.hidden = 4 --> 1 * NLL = -363.0472 ; penalty = 0; BIC = -626.7082 ; AICc = -687.1334 ; AIC = -690.0945
## n.hidden = 4 --> 1 * NLL = -206.7468 ; penalty = 0; BIC = -314.1074 ; AICc = -374.5326 ; AIC = -377.4937
## CaDENCE cadence.fit optim i 15 summary statistics 9.1071 82.9395 5.5921 27.6727 time 2.43 
## n.hidden = 4 --> 1 * NLL = -300.7381 ; penalty = 0; BIC = -502.0898 ; AICc = -562.5151 ; AIC = -565.4761
## n.hidden = 4 --> 1 * NLL = -222.3034 ; penalty = 0; BIC = -345.2204 ; AICc = -405.6457 ; AIC = -408.6067
## n.hidden = 4 --> 1 * NLL = -300.2714 ; penalty = 0; BIC = -501.1564 ; AICc = -561.5817 ; AIC = -564.5427
## n.hidden = 4 --> 1 * NLL = -299.1091 ; penalty = 0; BIC = -498.8318 ; AICc = -559.2571 ; AIC = -562.2181
## n.hidden = 4 --> 1 * NLL = -224.6793 ; penalty = 0; BIC = -349.9723 ; AICc = -410.3976 ; AIC = -413.3586
## CaDENCE cadence.fit optim i 20 summary statistics 8.2111 67.4217 4.9936 28.9438 time 2.35

## 
## ________________________________________________________________________________ 
## ***   uGauss3_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 2.7032 7.3072 2.1412 9.0729 time 0.04 
## MachineShop fit none i 10 summary statistics 3.2141 10.3302 2.5391 9.9349 time 0.03 
## MachineShop fit none i 15 summary statistics 3.4955 12.2188 2.8095 10.7277 time 0.03 
## MachineShop fit none i 20 summary statistics 2.3163 5.3653 1.8561 6.3187 time 0.03

## 
## ________________________________________________________________________________ 
## ***   uGauss3_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 3.1487 9.9143 2.485 9.7353 time 0.04 
## minpack.lm nlsLM none i 10 summary statistics 40.0663 1605.307 34.1007 74.5959 time 0.02 
## minpack.lm nlsLM none i 15 summary statistics 2.8185 7.9439 2.2078 7.5078 time 0.01 
## minpack.lm nlsLM none i 20 summary statistics 2.3381 5.4667 1.8436 7.1469 time 0.04

## 
## ________________________________________________________________________________ 
## ***   uGauss3_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 3.4706 12.0453 2.6798 10.3036 time 0.22 
## monmlp monmlp.fit BFGS i 10 summary statistics 2.9613 8.769 2.2975 8.2438 time 0.22 
## monmlp monmlp.fit BFGS i 15 summary statistics 2.6894 7.2328 2.1632 7.7449 time 0.22 
## monmlp monmlp.fit BFGS i 20 summary statistics 3.5226 12.4084 2.7949 10.6376 time 0.21

## 
## ________________________________________________________________________________ 
## ***   uGauss3_nlsr::nlxb_none ***
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## nlsr nlxb none i 5 summary statistics 3.4955 12.2185 2.8095 10.7276 time 0.11 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## nlsr nlxb none i 10 summary statistics 2.2992 5.2863 1.8378 7.0765 time 0.11 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## nlsr nlxb none i 15 summary statistics 2.2992 5.2863 1.8378 7.0765 time 0.11 
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## vn: [1] "y"   "b1"  "b2"  "b3"  "b4"  "x"   "b5"  "b6"  "b7"  "b8"  "b9"  "b10"
## [13] "b11" "b12" "b13"
## no weights
## nlsr nlxb none i 20 summary statistics 2.8185 7.9439 2.2078 7.5077 time 0.03

## 
## ________________________________________________________________________________ 
## ***   uGauss3_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 2.292 5.2532 1.8266 6.3332 time 0.03 
## nnet nnet none i 10 summary statistics 5.891 34.7034 4.4835 17.2501 time 0.03 
## nnet nnet none i 15 summary statistics 3.3937 11.5175 2.5911 10.4298 time 0.01 
## nnet nnet none i 20 summary statistics 2.299 5.2853 1.8317 6.3833 time 0.01

## 
## ________________________________________________________________________________ 
## ***   uGauss3_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 3.6463 13.2956 2.6142 13.7344 time 0.18 
## qrnn qrnn.fit none i 10 summary statistics 3.2735 10.7158 2.3984 12.1406 time 0.22 
## qrnn qrnn.fit none i 15 summary statistics 3.6964 13.6636 2.6197 14.0701 time 0.22 
## qrnn qrnn.fit none i 20 summary statistics 2.9121 8.4803 2.2104 7.9176 time 0.27

## 
## ________________________________________________________________________________ 
## ***   uGauss3_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 3.1011 9.6168 2.4724 10.0738 time 0.04 
## radiant.model nn none i 10 summary statistics 3.6034 12.9847 2.6711 12.126 time 0.01 
## radiant.model nn none i 15 summary statistics 3.0692 9.4198 2.4326 9.8964 time 0.05 
## radiant.model nn none i 20 summary statistics 3.2437 10.5218 2.565 9.999 time 0.05

## 
## ________________________________________________________________________________ 
## ***   uGauss3_rminer::fit_none ***
## rminer fit none i 5 summary statistics 3.157 9.9666 2.4935 9.7547 time 0.06 
## rminer fit none i 10 summary statistics 2.3563 5.5523 1.86 7.0877 time 0.07 
## rminer fit none i 15 summary statistics 2.2886 5.2376 1.8202 6.4225 time 0.09 
## rminer fit none i 20 summary statistics 2.3072 5.323 1.8524 6.949 time 0.06

## 
## ________________________________________________________________________________ 
## ***   uGauss3_validann::ann_BFGS ***
## initial  value 245.058151 
## iter  20 value 4.946432
## iter  40 value 2.199908
## iter  60 value 2.081853
## iter  80 value 1.987066
## iter 100 value 1.904095
## iter 120 value 1.797997
## iter 140 value 1.732012
## iter 160 value 1.683708
## iter 180 value 1.650781
## iter 200 value 1.625075
## final  value 1.625075 
## stopped after 200 iterations
## initial  value 277.954343 
## iter  20 value 14.066771
## iter  40 value 2.064592
## iter  60 value 1.974797
## iter  80 value 1.893526
## iter 100 value 1.888769
## iter 120 value 1.886846
## iter 140 value 1.882566
## iter 160 value 1.877744
## iter 180 value 1.873255
## iter 200 value 1.868853
## final  value 1.868853 
## stopped after 200 iterations
## initial  value 276.231433 
## iter  20 value 7.358772
## iter  40 value 2.271410
## iter  60 value 1.973908
## iter  80 value 1.349026
## iter 100 value 1.271457
## iter 120 value 1.247078
## iter 140 value 1.232276
## iter 160 value 1.232190
## final  value 1.232190 
## converged
## initial  value 310.747395 
## iter  20 value 47.032092
## iter  40 value 15.307145
## iter  60 value 9.148105
## iter  80 value 2.926767
## iter 100 value 1.816046
## iter 120 value 1.803941
## iter 140 value 1.794300
## iter 160 value 1.713937
## iter 180 value 1.586206
## iter 200 value 1.571685
## final  value 1.571685 
## stopped after 200 iterations
## initial  value 263.794656 
## iter  20 value 5.830564
## iter  40 value 1.943788
## iter  60 value 1.397231
## iter  80 value 1.273981
## iter 100 value 1.267175
## iter 120 value 1.249493
## iter 140 value 1.233026
## final  value 1.232190 
## converged
## validann ann BFGS i 5 summary statistics 2.8185 7.9439 2.2078 7.5076 time 0.48 
## initial  value 208.147644 
## iter  20 value 3.255153
## iter  40 value 1.321000
## iter  60 value 1.000520
## iter  80 value 0.900705
## iter 100 value 0.825886
## iter 120 value 0.820964
## iter 140 value 0.815148
## iter 160 value 0.811663
## iter 180 value 0.810152
## iter 200 value 0.809684
## final  value 0.809684 
## stopped after 200 iterations
## initial  value 246.985071 
## iter  20 value 16.779665
## iter  40 value 2.316732
## iter  60 value 1.899942
## iter  80 value 1.892797
## iter 100 value 1.891376
## iter 120 value 1.888602
## iter 140 value 1.884927
## iter 160 value 1.842791
## iter 180 value 1.737593
## iter 200 value 1.693953
## final  value 1.693953 
## stopped after 200 iterations
## initial  value 267.192510 
## iter  20 value 25.295080
## iter  40 value 5.563491
## iter  60 value 1.915186
## iter  80 value 1.892285
## iter 100 value 1.890569
## iter 120 value 1.887361
## iter 140 value 1.884001
## iter 160 value 1.880009
## iter 180 value 1.874691
## iter 200 value 1.859817
## final  value 1.859817 
## stopped after 200 iterations
## initial  value 251.502389 
## iter  20 value 3.796240
## iter  40 value 2.162635
## iter  60 value 1.968785
## iter  80 value 1.384606
## iter 100 value 1.238988
## iter 120 value 1.234455
## iter 140 value 1.232190
## final  value 1.232190 
## converged
## initial  value 295.312020 
## iter  20 value 10.438365
## iter  40 value 2.354983
## iter  60 value 2.172873
## iter  80 value 2.077983
## iter 100 value 2.013742
## iter 120 value 2.009108
## iter 140 value 2.007407
## iter 160 value 2.004833
## iter 180 value 1.998834
## iter 200 value 1.985288
## final  value 1.985288 
## stopped after 200 iterations
## validann ann BFGS i 10 summary statistics 3.5776 12.7992 2.7483 11.4536 time 0.59 
## initial  value 197.097296 
## iter  20 value 12.634685
## iter  40 value 2.257414
## iter  60 value 1.903958
## iter  80 value 1.895245
## iter  80 value 1.895245
## iter  80 value 1.895245
## final  value 1.895245 
## converged
## initial  value 367.327814 
## iter  20 value 17.453863
## iter  40 value 10.010769
## iter  60 value 2.145407
## iter  80 value 1.267292
## iter 100 value 1.190924
## iter 120 value 1.157944
## iter 140 value 1.130144
## iter 160 value 1.124091
## iter 180 value 1.118235
## iter 200 value 1.109466
## final  value 1.109466 
## stopped after 200 iterations
## initial  value 344.123693 
## iter  20 value 24.390774
## iter  40 value 10.619894
## iter  60 value 2.193259
## iter  80 value 1.950581
## iter 100 value 1.427482
## iter 120 value 1.253562
## iter 140 value 1.232994
## iter 160 value 1.232201
## final  value 1.232190 
## converged
## initial  value 277.298490 
## iter  20 value 24.249660
## iter  40 value 9.816279
## iter  60 value 4.970716
## iter  80 value 2.139951
## iter 100 value 1.954984
## iter 120 value 1.825223
## iter 140 value 1.708433
## iter 160 value 1.609430
## iter 180 value 1.576117
## iter 200 value 1.562798
## final  value 1.562798 
## stopped after 200 iterations
## initial  value 192.554930 
## iter  20 value 12.146925
## iter  40 value 5.184573
## iter  60 value 2.220982
## iter  80 value 1.862482
## iter 100 value 1.797884
## iter 120 value 1.736091
## iter 140 value 1.668008
## iter 160 value 1.630607
## iter 180 value 1.597329
## iter 200 value 1.555983
## final  value 1.555983 
## stopped after 200 iterations
## validann ann BFGS i 15 summary statistics 3.1672 10.0314 2.4946 9.7112 time 0.59 
## initial  value 220.884942 
## iter  20 value 23.066458
## iter  40 value 4.740968
## iter  60 value 2.647397
## iter  80 value 2.057946
## iter 100 value 1.990773
## iter 120 value 1.871807
## iter 140 value 1.786814
## iter 160 value 1.770030
## iter 180 value 1.764549
## iter 200 value 1.756122
## final  value 1.756122 
## stopped after 200 iterations
## initial  value 242.953823 
## iter  20 value 16.414144
## iter  40 value 2.366974
## iter  60 value 2.044298
## iter  80 value 2.001376
## iter 100 value 1.992136
## iter 120 value 1.918042
## final  value 1.895278 
## converged
## initial  value 233.841834 
## iter  20 value 24.164937
## iter  40 value 8.308543
## iter  60 value 5.785393
## iter  80 value 3.034858
## iter 100 value 1.251139
## iter 120 value 1.081651
## iter 140 value 0.940019
## iter 160 value 0.861083
## iter 180 value 0.821503
## iter 200 value 0.808665
## final  value 0.808665 
## stopped after 200 iterations
## initial  value 283.267466 
## iter  20 value 16.307250
## iter  40 value 2.096250
## iter  60 value 1.919163
## iter  80 value 1.893778
## iter 100 value 1.893061
## iter 120 value 1.891290
## iter 140 value 1.888970
## iter 160 value 1.885457
## iter 180 value 1.879576
## iter 200 value 1.847399
## final  value 1.847399 
## stopped after 200 iterations
## initial  value 259.109493 
## iter  20 value 8.106120
## iter  40 value 2.576940
## iter  60 value 2.123644
## iter  80 value 1.439362
## iter 100 value 1.301829
## iter 120 value 1.281350
## iter 140 value 1.279610
## iter 160 value 1.278949
## iter 180 value 1.276876
## iter 200 value 1.270940
## final  value 1.270940 
## stopped after 200 iterations
## validann ann BFGS i 20 summary statistics 2.8625 8.1938 2.2407 7.8989 time 0.59

## 
## ________________________________________________________________________________ 
## ***   uGauss3_validann::ann_L-BFGS-B ***
## iter   20 value 28.472367
## iter   40 value 3.908189
## iter   60 value 2.126961
## iter   80 value 1.824286
## iter  100 value 1.776281
## iter  120 value 1.727182
## iter  140 value 1.699022
## iter  160 value 1.692598
## iter  180 value 1.685660
## iter  200 value 1.675207
## final  value 1.674642 
## stopped after 201 iterations
## iter   20 value 27.172768
## iter   40 value 10.172670
## iter   60 value 4.727043
## iter   80 value 3.939822
## iter  100 value 3.107234
## iter  120 value 2.294129
## iter  140 value 2.236250
## iter  160 value 2.219842
## iter  180 value 2.202786
## iter  200 value 2.155816
## final  value 2.153561 
## stopped after 201 iterations
## iter   20 value 24.940018
## iter   40 value 2.526191
## iter   60 value 2.015845
## iter   80 value 1.754181
## iter  100 value 1.702545
## iter  120 value 1.695949
## iter  140 value 1.689476
## iter  160 value 1.685734
## iter  180 value 1.683563
## iter  200 value 1.680414
## final  value 1.680313 
## stopped after 201 iterations
## iter   20 value 25.875777
## iter   40 value 6.151902
## iter   60 value 2.296268
## iter   80 value 1.379483
## iter  100 value 1.276897
## iter  120 value 1.253767
## iter  140 value 1.109006
## iter  160 value 1.064923
## iter  180 value 1.060809
## iter  200 value 1.029858
## final  value 1.027831 
## stopped after 201 iterations
## iter   20 value 23.409494
## iter   40 value 3.310439
## iter   60 value 2.230303
## iter   80 value 2.031324
## iter  100 value 1.620135
## iter  120 value 1.313522
## iter  140 value 1.308548
## iter  160 value 1.289068
## iter  180 value 1.268170
## iter  200 value 1.264520
## final  value 1.264470 
## stopped after 201 iterations
## validann ann L-BFGS-B i 5 summary statistics 2.8552 8.1521 2.2406 7.7305 time 0.62 
## iter   20 value 26.948669
## iter   40 value 14.115792
## iter   60 value 3.065797
## iter   80 value 2.701881
## iter  100 value 2.564927
## iter  120 value 2.058071
## iter  140 value 2.038039
## iter  160 value 2.012039
## iter  180 value 1.987671
## iter  200 value 1.953995
## final  value 1.947637 
## stopped after 201 iterations
## iter   20 value 23.254502
## iter   40 value 3.965632
## iter   60 value 2.701965
## iter   80 value 2.476007
## iter  100 value 1.960193
## iter  120 value 1.809055
## iter  140 value 1.795240
## iter  160 value 1.794791
## iter  180 value 1.793531
## iter  200 value 1.791547
## final  value 1.791425 
## stopped after 201 iterations
## iter   20 value 24.840491
## iter   40 value 2.075187
## iter   60 value 2.035998
## iter   80 value 1.976755
## iter  100 value 1.957015
## iter  120 value 1.943660
## iter  140 value 1.928370
## iter  160 value 1.925210
## iter  180 value 1.919173
## iter  200 value 1.905624
## final  value 1.905599 
## stopped after 201 iterations
## iter   20 value 21.425489
## iter   40 value 1.138329
## iter   60 value 1.021285
## iter   80 value 0.986070
## iter  100 value 0.966680
## iter  120 value 0.926302
## iter  140 value 0.875823
## iter  160 value 0.854880
## iter  180 value 0.849225
## iter  200 value 0.844989
## final  value 0.844818 
## stopped after 201 iterations
## iter   20 value 28.629728
## iter   40 value 16.920131
## iter   60 value 6.185220
## iter   80 value 2.272433
## iter  100 value 2.270016
## iter  120 value 2.269109
## iter  140 value 2.267771
## iter  160 value 2.267461
## iter  180 value 2.267426
## iter  200 value 2.267117
## final  value 2.267104 
## stopped after 201 iterations
## validann ann L-BFGS-B i 10 summary statistics 3.8231 14.6161 2.8628 11.98 time 0.69 
## iter   20 value 26.690385
## iter   40 value 1.736020
## iter   60 value 1.361073
## iter   80 value 1.123334
## iter  100 value 1.090463
## iter  120 value 1.056209
## iter  140 value 1.034992
## iter  160 value 0.963815
## iter  180 value 0.855442
## iter  200 value 0.846876
## final  value 0.846800 
## stopped after 201 iterations
## iter   20 value 22.045135
## iter   40 value 2.632349
## iter   60 value 2.112060
## iter   80 value 2.037687
## iter  100 value 2.020796
## iter  120 value 2.014370
## iter  140 value 2.002222
## iter  160 value 1.998199
## iter  180 value 1.995806
## iter  200 value 1.990570
## final  value 1.990362 
## stopped after 201 iterations
## iter   20 value 20.057461
## iter   40 value 4.623141
## iter   60 value 1.859400
## iter   80 value 1.432250
## iter  100 value 1.394271
## iter  120 value 1.354165
## iter  140 value 1.206842
## iter  160 value 1.118799
## iter  180 value 1.092014
## iter  200 value 1.007179
## final  value 1.005067 
## stopped after 201 iterations
## iter   20 value 26.586383
## iter   40 value 12.226023
## iter   60 value 2.963414
## iter   80 value 2.310296
## iter  100 value 2.241259
## iter  120 value 2.218958
## iter  140 value 2.164386
## iter  160 value 2.118551
## iter  180 value 2.048576
## iter  200 value 2.006168
## final  value 2.005879 
## stopped after 201 iterations
## iter   20 value 25.026607
## iter   40 value 2.595400
## iter   60 value 2.126023
## iter   80 value 2.000473
## iter  100 value 1.992214
## iter  120 value 1.986433
## iter  140 value 1.983455
## iter  160 value 1.977594
## iter  180 value 1.974941
## iter  200 value 1.967205
## final  value 1.967085 
## stopped after 201 iterations
## validann ann L-BFGS-B i 15 summary statistics 3.5612 12.6818 2.7658 11.0553 time 0.66 
## iter   20 value 13.463404
## iter   40 value 2.174564
## iter   60 value 1.917606
## iter   80 value 1.901949
## iter  100 value 1.900729
## iter  120 value 1.897503
## iter  140 value 1.896782
## iter  160 value 1.896584
## iter  180 value 1.896276
## iter  200 value 1.896118
## final  value 1.896099 
## stopped after 201 iterations
## iter   20 value 27.644551
## iter   40 value 3.142127
## iter   60 value 2.776129
## iter   80 value 2.117370
## iter  100 value 1.998453
## iter  120 value 1.971159
## iter  140 value 1.964392
## iter  160 value 1.956334
## iter  180 value 1.949565
## iter  200 value 1.942733
## final  value 1.942335 
## stopped after 201 iterations
## iter   20 value 11.039470
## iter   40 value 1.967127
## iter   60 value 1.872066
## iter   80 value 1.848833
## iter  100 value 1.732868
## iter  120 value 1.667041
## iter  140 value 1.643990
## iter  160 value 1.612288
## iter  180 value 1.607846
## iter  200 value 1.602770
## final  value 1.602747 
## stopped after 201 iterations
## iter   20 value 28.763949
## iter   40 value 6.715047
## iter   60 value 3.387989
## iter   80 value 2.476071
## iter  100 value 2.219852
## iter  120 value 2.062070
## iter  140 value 2.025629
## iter  160 value 1.963810
## iter  180 value 1.866328
## iter  200 value 1.751372
## final  value 1.741555 
## stopped after 201 iterations
## iter   20 value 25.165677
## iter   40 value 3.668156
## iter   60 value 2.556996
## iter   80 value 2.288056
## iter  100 value 2.023146
## iter  120 value 1.894138
## iter  140 value 1.865510
## iter  160 value 1.858441
## iter  180 value 1.842890
## iter  200 value 1.839585
## final  value 1.839362 
## stopped after 201 iterations
## validann ann L-BFGS-B i 20 summary statistics 3.4436 11.8584 2.7439 10.3669 time 0.8

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_brnn::brnn_gaussNewton ***
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0813   beta= 5.903 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0813   beta= 5.9031 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0813   beta= 5.9031 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0814   beta= 5.9029 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0814   beta= 5.9027 
## brnn brnn gaussNewton i 5 summary statistics 0.3523 0.1241 0.2848 0.8272 time 0 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0813   beta= 5.9033 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7328     alpha= 0.0814   beta= 5.9028 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0814   beta= 5.9027 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0813   beta= 5.903 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0814   beta= 5.9028 
## brnn brnn gaussNewton i 10 summary statistics 0.3523 0.1241 0.2848 0.8271 time 0 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0813   beta= 5.9031 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0814   beta= 5.9028 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0814   beta= 5.9029 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7328     alpha= 0.0814   beta= 5.9028 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0814   beta= 5.903 
## brnn brnn gaussNewton i 15 summary statistics 0.3523 0.1241 0.2848 0.827 time 0 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0813   beta= 5.9032 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0814   beta= 5.9027 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0814   beta= 5.9028 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7327     alpha= 0.0813   beta= 5.9032 
## Number of parameters (weights and biases) to estimate: 6 
## Nguyen-Widrow method
## Scaling factor= 1.4 
## gamma= 5.7326     alpha= 0.0813   beta= 5.9031 
## brnn brnn gaussNewton i 20 summary statistics 0.3523 0.1241 0.2848 0.8268 time 0

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_CaDENCE::cadence.fit_optim ***
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## CaDENCE cadence.fit optim i 5 summary statistics 0.2831 0.0801 0.231 0.5816 time 0.31 
## n.hidden = 2 --> 1 * NLL = -5.321043 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357913
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## CaDENCE cadence.fit optim i 10 summary statistics 0.2831 0.0801 0.231 0.5816 time 0.25 
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -4.578451 ; penalty = 0; BIC = 30.16135 ; AICc = 16.3431 ; AIC = 10.8431
## CaDENCE cadence.fit optim i 15 summary statistics 0.2848 0.0811 0.2327 0.6073 time 1.11 
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## n.hidden = 2 --> 1 * NLL = -5.321044 ; penalty = 0; BIC = 28.67617 ; AICc = 14.85791 ; AIC = 9.357912
## CaDENCE cadence.fit optim i 20 summary statistics 0.2831 0.0801 0.231 0.5816 time 0.23

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_MachineShop::fit_none ***
## MachineShop fit none i 5 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## MachineShop fit none i 10 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.02 
## MachineShop fit none i 15 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## MachineShop fit none i 20 summary statistics 0.283 0.0801 0.2313 0.5675 time 0

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_minpack.lm::nlsLM_none ***
## minpack.lm nlsLM none i 5 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## minpack.lm nlsLM none i 10 summary statistics 1.272 1.6181 1.1104 2.515 time 0 
## minpack.lm nlsLM none i 15 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## minpack.lm nlsLM none i 20 summary statistics 1.272 1.6181 1.1104 2.515 time 0

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_monmlp::monmlp.fit_BFGS ***
## monmlp monmlp.fit BFGS i 5 summary statistics 0.2831 0.0802 0.2312 0.5747 time 0.19 
## monmlp monmlp.fit BFGS i 10 summary statistics 0.2832 0.0802 0.2312 0.575 time 0.18 
## monmlp monmlp.fit BFGS i 15 summary statistics 0.2831 0.0802 0.2316 0.5602 time 0.19 
## monmlp monmlp.fit BFGS i 20 summary statistics 0.2831 0.0801 0.2312 0.5681 time 0.18

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_nlsr::nlxb_none ***
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## nlsr nlxb none i 5 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.02 
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## nlsr nlxb none i 10 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## nlsr nlxb none i 15 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## vn:[1] "y"  "b1" "b2" "b3" "b4" "x"  "b5" "b6" "b7"
## no weights
## nlsr nlxb none i 20 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_nnet::nnet_none ***
## nnet nnet none i 5 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## nnet nnet none i 10 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## nnet nnet none i 15 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## nnet nnet none i 20 summary statistics 0.283 0.0801 0.2313 0.5675 time 0

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_qrnn::qrnn.fit_none ***
## qrnn qrnn.fit none i 5 summary statistics 0.2939 0.0864 0.2258 0.7231 time 0.08 
## qrnn qrnn.fit none i 10 summary statistics 0.2939 0.0864 0.2258 0.7231 time 0.06 
## qrnn qrnn.fit none i 15 summary statistics 0.2939 0.0864 0.2258 0.7231 time 0.08 
## qrnn qrnn.fit none i 20 summary statistics 0.2939 0.0864 0.2258 0.7231 time 0.06

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_radiant.model::nn_none ***
## radiant.model nn none i 5 summary statistics 0.283 0.0801 0.2313 0.5674 time 0.01 
## radiant.model nn none i 10 summary statistics 0.2994 0.0896 0.2481 0.6302 time 0.03 
## radiant.model nn none i 15 summary statistics 0.283 0.0801 0.2313 0.5677 time 0.01 
## radiant.model nn none i 20 summary statistics 0.283 0.0801 0.2313 0.568 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_rminer::fit_none ***
## rminer fit none i 5 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## rminer fit none i 10 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## rminer fit none i 15 summary statistics 0.283 0.0801 0.2313 0.5675 time 0 
## rminer fit none i 20 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.02

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_validann::ann_BFGS ***
## initial  value 60.745204 
## iter  20 value 3.393855
## iter  40 value 2.474854
## iter  40 value 2.474854
## iter  40 value 2.474854
## final  value 2.474854 
## converged
## initial  value 50.969468 
## iter  20 value 2.786134
## iter  40 value 2.474854
## final  value 2.474854 
## converged
## initial  value 56.073779 
## iter  20 value 2.633068
## final  value 2.474854 
## converged
## initial  value 54.870462 
## iter  20 value 3.792963
## iter  40 value 2.476419
## final  value 2.474854 
## converged
## initial  value 60.250152 
## iter  20 value 4.303535
## iter  40 value 2.986487
## iter  60 value 2.474901
## final  value 2.474854 
## converged
## validann ann BFGS i 5 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.08 
## initial  value 46.048904 
## iter  20 value 3.341330
## iter  40 value 2.493049
## final  value 2.474854 
## converged
## initial  value 49.683930 
## iter  20 value 2.666429
## iter  40 value 2.474978
## final  value 2.474854 
## converged
## initial  value 44.331341 
## iter  20 value 3.232810
## iter  40 value 2.474875
## final  value 2.474854 
## converged
## initial  value 62.093910 
## iter  20 value 2.474912
## final  value 2.474865 
## converged
## initial  value 83.153694 
## iter  20 value 2.885784
## iter  40 value 2.474854
## final  value 2.474854 
## converged
## validann ann BFGS i 10 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.05 
## initial  value 50.729107 
## iter  20 value 3.264771
## iter  40 value 2.475346
## final  value 2.474854 
## converged
## initial  value 59.120499 
## iter  20 value 6.096081
## iter  40 value 2.474854
## final  value 2.474854 
## converged
## initial  value 52.409999 
## iter  20 value 6.216408
## iter  40 value 2.477941
## final  value 2.474854 
## converged
## initial  value 57.168506 
## iter  20 value 3.571462
## iter  40 value 3.191241
## iter  60 value 2.474920
## final  value 2.474854 
## converged
## initial  value 60.860790 
## iter  20 value 2.565912
## final  value 2.474854 
## converged
## validann ann BFGS i 15 summary statistics 0.283 0.0801 0.2313 0.5674 time 0.05 
## initial  value 60.970698 
## iter  20 value 4.896473
## iter  40 value 2.479882
## final  value 2.474854 
## converged
## initial  value 69.361828 
## iter  20 value 2.547456
## final  value 2.474854 
## converged
## initial  value 54.848561 
## iter  20 value 11.654548
## iter  40 value 10.824645
## iter  60 value 6.012264
## iter  80 value 2.481258
## final  value 2.474854 
## converged
## initial  value 53.323577 
## iter  20 value 4.734380
## iter  40 value 2.475431
## final  value 2.474854 
## converged
## initial  value 69.327844 
## iter  20 value 11.422574
## iter  40 value 5.567855
## iter  60 value 4.129634
## iter  80 value 2.541705
## final  value 2.474854 
## converged
## validann ann BFGS i 20 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.12

## 
## ________________________________________________________________________________ 
## ***   uNeuroOne_validann::ann_L-BFGS-B ***
## iter   20 value 11.726836
## iter   40 value 3.730975
## iter   60 value 2.480055
## iter   80 value 2.474854
## final  value 2.474854 
## converged
## iter   20 value 4.980903
## iter   40 value 2.495405
## iter   60 value 2.474856
## final  value 2.474854 
## converged
## iter   20 value 11.260293
## iter   40 value 3.104178
## iter   60 value 2.482282
## iter   80 value 2.475408
## iter  100 value 2.474859
## final  value 2.474854 
## converged
## iter   20 value 11.788786
## iter   40 value 11.724430
## iter   60 value 11.722329
## final  value 11.722309 
## converged
## iter   20 value 11.323235
## iter   40 value 3.578071
## iter   60 value 2.608176
## iter   80 value 2.474950
## iter  100 value 2.474854
## final  value 2.474854 
## converged
## validann ann L-BFGS-B i 5 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.14 
## iter   20 value 4.166953
## iter   40 value 3.083984
## iter   60 value 2.477476
## iter   80 value 2.474914
## iter  100 value 2.474854
## final  value 2.474854 
## converged
## iter   20 value 2.483378
## iter   40 value 2.474854
## final  value 2.474854 
## converged
## iter   20 value 2.590838
## iter   40 value 2.474875
## final  value 2.474854 
## converged
## iter   20 value 2.890289
## iter   40 value 2.866281
## iter   60 value 2.525611
## iter   80 value 2.474854
## final  value 2.474854 
## converged
## iter   20 value 2.676797
## iter   40 value 2.487060
## iter   60 value 2.474854
## final  value 2.474854 
## converged
## validann ann L-BFGS-B i 10 summary statistics 0.283 0.0801 0.2313 0.5673 time 0.1 
## iter   20 value 3.918319
## iter   40 value 3.129593
## iter   60 value 2.637684
## iter   80 value 2.485199
## iter  100 value 2.474896
## final  value 2.474854 
## converged
## iter   20 value 2.592707
## iter   40 value 2.476142
## iter   60 value 2.474866
## final  value 2.474854 
## converged
## iter   20 value 2.570339
## iter   40 value 2.476600
## iter   60 value 2.474859
## final  value 2.474854 
## converged
## iter   20 value 3.231290
## iter   40 value 2.491697
## iter   60 value 2.475082
## iter   80 value 2.474854
## final  value 2.474854 
## converged
## iter   20 value 2.507139
## iter   40 value 2.474948
## iter   60 value 2.474854
## final  value 2.474854 
## converged
## validann ann L-BFGS-B i 15 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.08 
## iter   20 value 2.571793
## iter   40 value 2.488815
## iter   60 value 2.474902
## final  value 2.474854 
## converged
## iter   20 value 2.744309
## iter   40 value 2.475360
## iter   60 value 2.474854
## final  value 2.474854 
## converged
## iter   20 value 6.505528
## iter   40 value 4.933376
## iter   60 value 3.478721
## iter   80 value 3.177305
## iter  100 value 2.526205
## iter  120 value 2.476929
## iter  140 value 2.474854
## final  value 2.474854 
## converged
## iter   20 value 2.558758
## iter   40 value 2.474940
## iter   60 value 2.474855
## final  value 2.474854 
## converged
## iter   20 value 3.267438
## iter   40 value 2.480121
## iter   60 value 2.474922
## iter   80 value 2.474854
## final  value 2.474854 
## converged
## validann ann L-BFGS-B i 20 summary statistics 0.283 0.0801 0.2313 0.5675 time 0.14

kable(ht(resall))
brnn::gaussNewton CaDENCE::optim MachineShop::none minpack.lm::none radiant.model::none rminer::none validann::BFGS validann::L-BFGS-B
N1 1.4355 3.5464 0.3537 2.1450 0.4533 0.2822 0.5335 1.4449
N2 2.0608 12.5768 0.1251 4.6012 0.2055 0.0796 0.2846 2.0876
N3 1.2308 1.5083 0.2725 1.5130 0.3434 0.2198 0.3997 1.1085
N98 1.4612 0.3201 0.2854 0.2713 0.2812 0.4944 0.2728 0.8811
N99 12.5268 3.1034 1.8224 1.3253 1.5104 3.1704 1.3325 8.5046
N100 0.2000 7.2300 0.0700 0.2500 0.1100 0.2700 1.7200 1.7500
brnn::gaussNewton CaDENCE::optim MachineShop::none minpack.lm::none radiant.model::none rminer::none validann::BFGS validann::L-BFGS-B
N1 0.0046 0.1208 0.0100 0.0150 0.0814 0.0090 0.0098 0.0820
N2 0.0000 0.0146 0.0001 0.0002 0.0066 0.0001 0.0001 0.0067
N3 0.0037 0.0507 0.0078 0.0103 0.0741 0.0070 0.0077 0.0743
N98 0.0037 0.0692 0.0174 0.0687 0.0084 0.0082 0.0494 0.0135
N99 0.0140 0.3283 0.0677 0.1698 0.0341 0.0319 0.1649 0.0557
N100 0.2800 9.8100 0.1100 0.4100 0.1100 0.2900 2.3500 2.3800
brnn::gaussNewton CaDENCE::optim MachineShop::none minpack.lm::none radiant.model::none rminer::none validann::BFGS validann::L-BFGS-B
N1 3.1967 3.5507 3.5008 2.2994 2.8207 2.8733 3.2368 3.2858
N2 10.2188 12.6078 12.2558 5.2872 7.9566 8.2561 10.4769 10.7964
N3 2.5109 2.5927 2.7943 1.8381 2.2077 2.2501 2.5691 2.5780
N98 1.9659 4.9936 1.8561 1.8436 2.5650 1.8524 2.2407 2.7439
N99 7.4363 28.9438 6.3187 7.1469 9.9990 6.9490 7.8989 10.3669
N100 0.0200 2.3500 0.0300 0.0400 0.0500 0.0600 0.5900 0.8000
brnn::gaussNewton CaDENCE::optim MachineShop::none minpack.lm::none radiant.model::none rminer::none validann::BFGS validann::L-BFGS-B
N1 0.3523 0.2831 0.2830 0.2830 0.2830 0.2830 0.2830 0.2830
N2 0.1241 0.0801 0.0801 0.0801 0.0801 0.0801 0.0801 0.0801
N3 0.2848 0.2310 0.2313 0.2313 0.2313 0.2313 0.2313 0.2313
N98 0.2848 0.2310 0.2313 1.1104 0.2313 0.2313 0.2313 0.2313
N99 0.8268 0.5816 0.5675 2.5150 0.5680 0.5675 0.5675 0.5675
N100 0.0000 0.2300 0.0000 0.0000 0.0200 0.0200 0.1200 0.1400

4 Ranking

4.1 Read csv files and calculate some statistics for the metrics

setwd(odir) ; getwd()
## [1] "D:/GSoC2020/Results/2020run01"
lf        <- lapply(list.files(odir, pattern = "-results.csv", full.names = TRUE), csv::as.csv)
names(lf) <- names(NNdatasets)
lf <- lf[c(1:5,7,11,12)] #selecting multivariate datasets, uDmod1, uDreyfus1, uGauss3, and uNeuroOne
ht(lf)
## $mDette
##                                event   RMSE    MSE    MAE    WAE time
## 1   mDette_brnn::brnn_gaussNewton_01 1.4355 2.0608 1.2308 4.1931 0.25
## 2   mDette_brnn::brnn_gaussNewton_02 0.8542 0.7297 0.6322 6.0850 0.22
## 3   mDette_brnn::brnn_gaussNewton_03 1.4411 2.0768 1.2344 4.2598 0.22
## 238 mDette_validann::ann_L-BFGS-B_18 0.3810 0.1451 0.2885 1.4510 1.92
## 239 mDette_validann::ann_L-BFGS-B_19 0.4393 0.1930 0.3368 1.7214 1.81
## 240 mDette_validann::ann_L-BFGS-B_20 1.2134 1.4723 0.8811 8.5046 1.75
## 
## $mFriedman
##                                   event   RMSE    MSE    MAE    WAE time
## 1   mFriedman_brnn::brnn_gaussNewton_01 0.0046 0.0000 0.0037 0.0140 0.31
## 2   mFriedman_brnn::brnn_gaussNewton_02 0.0809 0.0066 0.0731 0.1940 0.06
## 3   mFriedman_brnn::brnn_gaussNewton_03 0.0166 0.0003 0.0118 0.0662 0.28
## 238 mFriedman_validann::ann_L-BFGS-B_18 0.0819 0.0067 0.0741 0.1565 2.39
## 239 mFriedman_validann::ann_L-BFGS-B_19 0.0215 0.0005 0.0171 0.0705 2.55
## 240 mFriedman_validann::ann_L-BFGS-B_20 0.0170 0.0003 0.0135 0.0557 2.38
## 
## $uGauss3
##                                 event   RMSE     MSE    MAE     WAE time
## 1   uGauss3_brnn::brnn_gaussNewton_01 3.1967 10.2188 2.5109 10.0172 0.02
## 2   uGauss3_brnn::brnn_gaussNewton_02 3.1967 10.2186 2.5109 10.0157 0.05
## 3   uGauss3_brnn::brnn_gaussNewton_03 2.8273  7.9934 2.2154  7.6584 0.02
## 238 uGauss3_validann::ann_L-BFGS-B_18 3.2145 10.3329 2.5324  9.8924 0.66
## 239 uGauss3_validann::ann_L-BFGS-B_19 3.3508 11.2278 2.6356  9.9768 0.66
## 240 uGauss3_validann::ann_L-BFGS-B_20 3.4436 11.8584 2.7439 10.3669 0.80
## 
## $uNeuroOne
##                                   event   RMSE    MSE    MAE    WAE time
## 1   uNeuroOne_brnn::brnn_gaussNewton_01 0.3523 0.1241 0.2848 0.8270 0.00
## 2   uNeuroOne_brnn::brnn_gaussNewton_02 0.3523 0.1241 0.2848 0.8269 0.01
## 3   uNeuroOne_brnn::brnn_gaussNewton_03 0.3522 0.1241 0.2848 0.8269 0.00
## 238 uNeuroOne_validann::ann_L-BFGS-B_18 0.2830 0.0801 0.2313 0.5675 0.24
## 239 uNeuroOne_validann::ann_L-BFGS-B_19 0.2830 0.0801 0.2313 0.5675 0.09
## 240 uNeuroOne_validann::ann_L-BFGS-B_20 0.2830 0.0801 0.2313 0.5675 0.14
gfr <- lapply(lf, function(dfr) cbind(
                      ds   = str_remove(str_extract(dfr$event, "\\w+_"), "_"),
                      pfa  = str_sub(str_remove(dfr$event, str_extract(dfr$event, "\\w+_")),  1, -4),
                      run  = str_sub(dfr$event, -2, -1),
                      dfr[,c("RMSE","MAE","WAE","time")]
                      ))

yfr <- lapply(gfr, function(dfr) {
            as.data.frame(dfr %>%
            group_by(pfa) %>%
            summarise(time.mean = mean(time), 
                      RMSE.min = min(RMSE), 
                      RMSE.med = median(RMSE),
                      RMSE.d51 = median(RMSE) - min(RMSE),
                      MAE.med  = median(MAE),
                      WAE.med  = median(WAE)
                      )
            )})
yfr <- lapply(yfr, function(dfr) transform(dfr, npfa = 1:nrow(dfr)))
ht9(yfr)
## $mDette
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.2015   0.2242  1.44335  1.21915  1.2359
## 2  CaDENCE::cadence.fit_optim    7.2435   0.4685  1.58000  1.11150  0.7525
## 3       MachineShop::fit_none    0.0810   0.2497  0.43485  0.18515  0.3307
## 10           rminer::fit_none    0.2365   0.2192  0.35460  0.13540  0.2731
## 11         validann::ann_BFGS    1.7270   0.2788  0.56205  0.28325  0.4286
## 12     validann::ann_L-BFGS-B    1.7985   0.3810  0.47110  0.09010  0.3579
##     WAE.med npfa
## 1   6.30255    1
## 2  10.30810    2
## 3   1.84535    3
## 10  1.34420   10
## 11  2.34465   11
## 12  1.90765   12
## 
## $mFriedman
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.2695   0.0046  0.00475  0.00015 0.00385
## 2  CaDENCE::cadence.fit_optim    9.7995   0.0246  0.09790  0.07330 0.05485
## 3       MachineShop::fit_none    0.1010   0.0095  0.01830  0.00880 0.01465
## 10           rminer::fit_none    0.2905   0.0085  0.01125  0.00275 0.00895
## 11         validann::ann_BFGS    2.4365   0.0096  0.01750  0.00790 0.01315
## 12     validann::ann_L-BFGS-B    2.5005   0.0170  0.02675  0.00975 0.02140
##    WAE.med npfa
## 1  0.01440    1
## 2  0.31675    2
## 3  0.06845    3
## 10 0.03860   10
## 11 0.05870   11
## 12 0.10620   12
## 
## $uGauss3
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.0270   2.4136  2.82730  0.41370 2.21540
## 2  CaDENCE::cadence.fit_optim    2.4345   2.2891  3.79240  1.50330 2.70250
## 3       MachineShop::fit_none    0.0290   2.2915  3.16370  0.87220 2.49805
## 10           rminer::fit_none    0.0755   2.2886  2.35685  0.06825 1.85700
## 11         validann::ann_BFGS    0.5555   2.2833  3.17870  0.89540 2.51120
## 12     validann::ann_L-BFGS-B    0.6660   2.3338  3.42100  1.08720 2.69705
##     WAE.med npfa
## 1   7.73330    1
## 2  13.22890    2
## 3   9.77115    3
## 10  7.10750   10
## 11  9.79855   11
## 12 10.39725   12
## 
## $uNeuroOne
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.0050   0.3522   0.3523   0.0001  0.2848
## 2  CaDENCE::cadence.fit_optim    0.3860   0.2831   0.2831   0.0000  0.2310
## 3       MachineShop::fit_none    0.0065   0.2830   0.2830   0.0000  0.2313
## 10           rminer::fit_none    0.0080   0.2830   0.2830   0.0000  0.2313
## 11         validann::ann_BFGS    0.0685   0.2830   0.2830   0.0000  0.2313
## 12     validann::ann_L-BFGS-B    0.1225   0.2830   0.2830   0.0000  0.2313
##    WAE.med npfa
## 1  0.82705    1
## 2  0.58160    2
## 3  0.56750    3
## 10 0.56750   10
## 11 0.56750   11
## 12 0.56750   12

4.2 Calculate ranks per datasets and merge results

rankMOFtime <- function(dfr) {
    dfrtime <- dfr[order(dfr$time.mean),]
    dfrRMSE <- dfr[order(dfr$RMSE.min, dfr$time.mean, dfr$RMSE.med),]
    dfrRMSEmed  <- dfr[order(dfr$RMSE.med, dfr$RMSE.min, dfr$time.mean),]
    dfrRMSEd51  <- dfr[order(dfr$RMSE.d51),]
    dfrMAE      <- dfr[order(dfr$MAE.med),]
    dfrWAE      <- dfr[order(dfr$WAE.med),]
    transform(dfr, 
              time.rank = order(dfrtime$npfa),
              RMSE.rank = order(dfrRMSE$npfa),
              RMSEmed.rank  = order(dfrRMSEmed$npfa),
              RMSEd51.rank  = order(dfrRMSEd51$npfa),
              MAE.rank = order(dfrMAE$npfa),
              WAE.rank = order(dfrWAE$npfa)
              )
}
sfr     <- lapply(yfr, rankMOFtime); sfr
## $mDette
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.2015   0.2242  1.44335  1.21915 1.23590
## 2  CaDENCE::cadence.fit_optim    7.2435   0.4685  1.58000  1.11150 0.75250
## 3       MachineShop::fit_none    0.0810   0.2497  0.43485  0.18515 0.33070
## 4      minpack.lm::nlsLM_none    0.2465   0.1158  0.37020  0.25440 0.28565
## 5     monmlp::monmlp.fit_BFGS    0.2630   0.3492  0.44070  0.09150 0.33830
## 6             nlsr::nlxb_none    0.4905   0.1285  0.54495  0.41645 0.43450
## 7             nnet::nnet_none    0.0790   0.2407  0.46115  0.22045 0.34535
## 8         qrnn::qrnn.fit_none    0.5240   0.3331  0.63755  0.30445 0.42975
## 9      radiant.model::nn_none    0.1000   0.2129  0.40440  0.19150 0.30575
## 10           rminer::fit_none    0.2365   0.2192  0.35460  0.13540 0.27310
## 11         validann::ann_BFGS    1.7270   0.2788  0.56205  0.28325 0.42860
## 12     validann::ann_L-BFGS-B    1.7985   0.3810  0.47110  0.09010 0.35790
##     WAE.med npfa time.rank RMSE.rank RMSEmed.rank RMSEd51.rank MAE.rank
## 1   6.30255    1         4         5           11           12       12
## 2  10.30810    2        12        12           12           11       11
## 3   1.84535    3         2         7            4            4        4
## 4   1.81790    4         6         1            2            7        2
## 5   1.94080    5         7        10            5            2        5
## 6   2.16030    6         8         2            8           10       10
## 7   1.93840    7         1         6            6            6        6
## 8   4.68515    8         9         9           10            9        9
## 9   1.66740    9         3         3            3            5        3
## 10  1.34420   10         5         4            1            3        1
## 11  2.34465   11        10         8            9            8        8
## 12  1.90765   12        11        11            7            1        7
##    WAE.rank
## 1        11
## 2        12
## 3         4
## 4         3
## 5         7
## 6         8
## 7         6
## 8        10
## 9         2
## 10        1
## 11        9
## 12        5
## 
## $mFriedman
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.2695   0.0046  0.00475  0.00015 0.00385
## 2  CaDENCE::cadence.fit_optim    9.7995   0.0246  0.09790  0.07330 0.05485
## 3       MachineShop::fit_none    0.1010   0.0095  0.01830  0.00880 0.01465
## 4      minpack.lm::nlsLM_none    0.3895   0.0042  0.07860  0.07440 0.06985
## 5     monmlp::monmlp.fit_BFGS    0.3125   0.0109  0.01405  0.00315 0.01110
## 6             nlsr::nlxb_none    0.7855   0.0043  0.01225  0.00795 0.00975
## 7             nnet::nnet_none    0.0945   0.0098  0.01865  0.00885 0.01475
## 8         qrnn::qrnn.fit_none    0.4820   0.0081  0.02260  0.01450 0.01625
## 9      radiant.model::nn_none    0.1145   0.0075  0.01100  0.00350 0.00880
## 10           rminer::fit_none    0.2905   0.0085  0.01125  0.00275 0.00895
## 11         validann::ann_BFGS    2.4365   0.0096  0.01750  0.00790 0.01315
## 12     validann::ann_L-BFGS-B    2.5005   0.0170  0.02675  0.00975 0.02140
##    WAE.med npfa time.rank RMSE.rank RMSEmed.rank RMSEd51.rank MAE.rank WAE.rank
## 1  0.01440    1         4         3            1            1        1        1
## 2  0.31675    2        12        12           12           11       11       12
## 3  0.06845    3         2         7            7            7        7        8
## 4  0.14960    4         7         1           11           12       12       11
## 5  0.04650    5         6        10            5            3        5        4
## 6  0.04655    6         9         2            4            6        4        5
## 7  0.05925    7         1         9            8            8        8        7
## 8  0.10740    8         8         5            9           10        9       10
## 9  0.03665    9         3         4            2            4        2        2
## 10 0.03860   10         5         6            3            2        3        3
## 11 0.05870   11        10         8            6            5        6        6
## 12 0.10620   12        11        11           10            9       10        9
## 
## $mIshigami
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.2640   0.6362  0.66445  0.02825 0.50995
## 2  CaDENCE::cadence.fit_optim   16.3350   0.7178  2.21790  1.50010 1.62720
## 3       MachineShop::fit_none    0.1560   0.5373  0.67460  0.13730 0.51375
## 4      minpack.lm::nlsLM_none    0.9655   0.6116  2.08190  1.47030 1.64035
## 5     monmlp::monmlp.fit_BFGS    0.4770   0.6812  0.78665  0.10545 0.59015
## 6             nlsr::nlxb_none    1.3965   0.4749  2.29205  1.81715 1.87205
## 7             nnet::nnet_none    0.1510   0.5449  0.66010  0.11520 0.49415
## 8         qrnn::qrnn.fit_none    1.1185   0.6113  0.79065  0.17935 0.49095
## 9      radiant.model::nn_none    0.1870   0.5359  0.75400  0.21810 0.57110
## 10           rminer::fit_none    0.4585   0.5510  0.64920  0.09820 0.48090
## 11         validann::ann_BFGS    4.8865   0.6567  0.75435  0.09765 0.54670
## 12     validann::ann_L-BFGS-B    5.0980   0.7329  1.29180  0.55890 1.02340
##    WAE.med npfa time.rank RMSE.rank RMSEmed.rank RMSEd51.rank MAE.rank WAE.rank
## 1  2.93655    1         4         8            3            1        4        2
## 2  7.26735    2        12        11           11           11       10       12
## 3  2.95940    3         2         3            4            6        5        3
## 4  5.79110    4         7         7           10           10       11       11
## 5  3.13690    5         6        10            7            4        8        5
## 6  5.63990    6         9         1           12           12       12       10
## 7  3.03400    7         1         4            2            5        3        4
## 8  3.90065    8         8         6            8            7        2        8
## 9  3.29115    9         3         2            5            8        7        6
## 10 2.84300   10         5         5            1            3        1        1
## 11 3.48445   11        10         9            6            2        6        7
## 12 4.68000   12        11        12            9            9        9        9
## 
## $mRef153
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.0110   3.3425  3.47895  0.13645 2.50625
## 2  CaDENCE::cadence.fit_optim    3.6790   3.2664  3.88610  0.61970 2.55865
## 3       MachineShop::fit_none    0.0185   3.0874  3.29660  0.20920 2.28655
## 4      minpack.lm::nlsLM_none    0.0725   3.1128  3.66440  0.55160 2.63195
## 5     monmlp::monmlp.fit_BFGS    0.2210   3.2276  3.24870  0.02110 2.24465
## 6             nlsr::nlxb_none    0.1670   3.0850  3.56440  0.47940 2.59220
## 7             nnet::nnet_none    0.0135   3.1128  3.46780  0.35500 2.52165
## 8         qrnn::qrnn.fit_none    0.1855   3.3032  3.48535  0.18215 2.14295
## 9      radiant.model::nn_none    0.0420   3.1753  3.22510  0.04980 2.23205
## 10           rminer::fit_none    0.0490   3.0866  3.22510  0.13850 2.18745
## 11         validann::ann_BFGS    0.7385   3.1796  3.34460  0.16500 2.32005
## 12     validann::ann_L-BFGS-B    0.9440   3.1055  3.49495  0.38945 2.51975
##     WAE.med npfa time.rank RMSE.rank RMSEmed.rank RMSEd51.rank MAE.rank
## 1  13.93145    1         1        12            7            3        7
## 2  14.96075    2        12        10           12           12       10
## 3  13.59145    3         3         3            4            7        5
## 4  14.87990    4         6         6           11           11       12
## 5  14.15480    5         9         9            3            1        4
## 6  14.73040    6         7         1           10           10       11
## 7  14.03300    7         2         5            6            8        9
## 8  15.26000    8         8        11            8            6        1
## 9  13.94260    9         4         7            2            2        3
## 10 13.91980   10         5         2            1            4        2
## 11 13.50965   11        10         8            5            5        6
## 12 14.58805   12        11         4            9            9        8
##    WAE.rank
## 1         4
## 2        11
## 3         2
## 4        10
## 5         7
## 6         9
## 7         6
## 8        12
## 9         5
## 10        3
## 11        1
## 12        8
## 
## $uDmod1
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.0115   0.0451  0.04510  0.00000 0.03640
## 2  CaDENCE::cadence.fit_optim    2.4985   0.0476  0.16135  0.11375 0.09005
## 3       MachineShop::fit_none    0.0110   0.0436  0.05915  0.01555 0.04700
## 4      minpack.lm::nlsLM_none    0.0470   0.0430  0.04390  0.00090 0.03560
## 5     monmlp::monmlp.fit_BFGS    0.2155   0.0684  0.10890  0.04050 0.08935
## 6             nlsr::nlxb_none    0.0925   0.0405  0.04600  0.00550 0.03630
## 7             nnet::nnet_none    0.0075   0.0435  0.06245  0.01895 0.05020
## 8         qrnn::qrnn.fit_none    0.2250   0.0535  0.13270  0.07920 0.07715
## 9      radiant.model::nn_none    0.0265   0.0463  0.10450  0.05820 0.07865
## 10           rminer::fit_none    0.0220   0.0410  0.04505  0.00405 0.03645
## 11         validann::ann_BFGS    0.7030   0.0434  0.08055  0.03715 0.06070
## 12     validann::ann_L-BFGS-B    0.8010   0.0523  0.11505  0.06275 0.07685
##    WAE.med npfa time.rank RMSE.rank RMSEmed.rank RMSEd51.rank MAE.rank WAE.rank
## 1  0.11670    1         3         7            3            1        3        2
## 2  0.68880    2        12         9           12           12       12       12
## 3  0.18535    3         2         6            5            5        5        5
## 4  0.11275    4         6         3            1            2        1        1
## 5  0.34775    5         8        12            9            8       11        8
## 6  0.11875    6         7         1            4            4        2        4
## 7  0.18670    7         1         5            6            6        6        6
## 8  0.52825    8         9        11           11           11        9       11
## 9  0.35755    9         5         8            8            9       10        9
## 10 0.11810   10         4         2            2            3        4        3
## 11 0.22725   11        10         4            7            7        7        7
## 12 0.46340   12        11        10           10           10        8       10
## 
## $uDreyfus1
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.0060   0.0023  0.00770  0.00540 0.00630
## 2  CaDENCE::cadence.fit_optim    0.9090   0.0253  0.48710  0.46180 0.29140
## 3       MachineShop::fit_none    0.0070   0.0020  0.00290  0.00090 0.00230
## 4      minpack.lm::nlsLM_none    0.0055   0.0000  0.00000  0.00000 0.00000
## 5     monmlp::monmlp.fit_BFGS    0.1965   0.0081  0.03425  0.02615 0.02695
## 6             nlsr::nlxb_none    0.0215   0.0000  0.00000  0.00000 0.00000
## 7             nnet::nnet_none    0.0020   0.0020  0.00315  0.00115 0.00255
## 8         qrnn::qrnn.fit_none    0.1365   0.0050  0.28395  0.27895 0.17935
## 9      radiant.model::nn_none    0.0180   0.0044  0.00865  0.00425 0.00650
## 10           rminer::fit_none    0.0095   0.0017  0.00220  0.00050 0.00180
## 11         validann::ann_BFGS    0.2685   0.0014  0.00230  0.00090 0.00185
## 12     validann::ann_L-BFGS-B    0.3885   0.0019  0.07000  0.06810 0.04605
##    WAE.med npfa time.rank RMSE.rank RMSEmed.rank RMSEd51.rank MAE.rank WAE.rank
## 1  0.01845    1         3         8            7            8        7        7
## 2  1.23705    2        12        12           12           12       12       12
## 3  0.00925    3         4         7            5            4        5        5
## 4  0.00010    4         2         1            1            1        1        1
## 5  0.09500    5         9        11            9            9        9        9
## 6  0.00010    6         7         2            2            2        2        2
## 7  0.00945    7         1         6            6            6        6        6
## 8  0.88795    8         8        10           11           11       11       11
## 9  0.02705    9         6         9            8            7        8        8
## 10 0.00680   10         5         4            3            3        3        3
## 11 0.00770   11        10         3            4            5        4        4
## 12 0.22125   12        11         5           10           10       10       10
## 
## $uGauss3
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.0270   2.4136  2.82730  0.41370 2.21540
## 2  CaDENCE::cadence.fit_optim    2.4345   2.2891  3.79240  1.50330 2.70250
## 3       MachineShop::fit_none    0.0290   2.2915  3.16370  0.87220 2.49805
## 4      minpack.lm::nlsLM_none    0.0355   2.2773  2.81850  0.54120 2.20780
## 5     monmlp::monmlp.fit_BFGS    0.2185   2.6894  3.45360  0.76420 2.70155
## 6             nlsr::nlxb_none    0.0940   2.2990  2.81850  0.51950 2.20780
## 7             nnet::nnet_none    0.0185   2.2920  2.81850  0.52650 2.20785
## 8         qrnn::qrnn.fit_none    0.2350   2.3058  3.46965  1.16385 2.54795
## 9      radiant.model::nn_none    0.0460   2.2889  3.22465  0.93575 2.54945
## 10           rminer::fit_none    0.0755   2.2886  2.35685  0.06825 1.85700
## 11         validann::ann_BFGS    0.5555   2.2833  3.17870  0.89540 2.51120
## 12     validann::ann_L-BFGS-B    0.6660   2.3338  3.42100  1.08720 2.69705
##     WAE.med npfa time.rank RMSE.rank RMSEmed.rank RMSEd51.rank MAE.rank
## 1   7.73330    1         2        11            5            2        5
## 2  13.22890    2        12         5           12           12       12
## 3   9.77115    3         3         6            6            7        6
## 4   7.50780    4         4         1            2            5        2
## 5  10.50890    5         8        12           10            6       11
## 6   7.50770    6         7         8            4            3        3
## 7   7.50910    7         1         7            3            4        4
## 8  11.85745    8         9         9           11           11        8
## 9  10.05160    9         5         4            8            9        9
## 10  7.10750   10         6         3            1            1        1
## 11  9.79855   11        10         2            7            8        7
## 12 10.39725   12        11        10            9           10       10
##    WAE.rank
## 1         5
## 2        12
## 3         6
## 4         3
## 5        10
## 6         2
## 7         4
## 8        11
## 9         8
## 10        1
## 11        7
## 12        9
## 
## $uNeuroOne
##                           pfa time.mean RMSE.min RMSE.med RMSE.d51 MAE.med
## 1      brnn::brnn_gaussNewton    0.0050   0.3522   0.3523   0.0001  0.2848
## 2  CaDENCE::cadence.fit_optim    0.3860   0.2831   0.2831   0.0000  0.2310
## 3       MachineShop::fit_none    0.0065   0.2830   0.2830   0.0000  0.2313
## 4      minpack.lm::nlsLM_none    0.0020   0.2830   0.2830   0.0000  0.2313
## 5     monmlp::monmlp.fit_BFGS    0.1855   0.2830   0.2831   0.0001  0.2312
## 6             nlsr::nlxb_none    0.0085   0.2830   0.2830   0.0000  0.2313
## 7             nnet::nnet_none    0.0025   0.2830   0.2830   0.0000  0.2313
## 8         qrnn::qrnn.fit_none    0.0805   0.2939   0.2939   0.0000  0.2258
## 9      radiant.model::nn_none    0.0210   0.2830   0.2830   0.0000  0.2313
## 10           rminer::fit_none    0.0080   0.2830   0.2830   0.0000  0.2313
## 11         validann::ann_BFGS    0.0685   0.2830   0.2830   0.0000  0.2313
## 12     validann::ann_L-BFGS-B    0.1225   0.2830   0.2830   0.0000  0.2313
##    WAE.med npfa time.rank RMSE.rank RMSEmed.rank RMSEd51.rank MAE.rank WAE.rank
## 1  0.82705    1         3        12           12           11       12       12
## 2  0.58160    2        12        10           10            1        2       10
## 3  0.56750    3         4         3            3            2        4        1
## 4  0.56750    4         1         1            1            3        5        2
## 5  0.57445    5        11         9            9           12        3        9
## 6  0.56750    6         6         5            5            4        6        3
## 7  0.56750    7         2         2            2            5        7        4
## 8  0.72310    8         9        11           11            6        1       11
## 9  0.56780    9         7         6            6            7        8        8
## 10 0.56750   10         5         4            4            8        9        5
## 11 0.56750   11         8         7            7            9       10        6
## 12 0.56750   12        10         8            8           10       11        7
sfrwide <- do.call(cbind, sfr); sfrwide
##                    mDette.pfa mDette.time.mean mDette.RMSE.min mDette.RMSE.med
## 1      brnn::brnn_gaussNewton           0.2015          0.2242         1.44335
## 2  CaDENCE::cadence.fit_optim           7.2435          0.4685         1.58000
## 3       MachineShop::fit_none           0.0810          0.2497         0.43485
## 4      minpack.lm::nlsLM_none           0.2465          0.1158         0.37020
## 5     monmlp::monmlp.fit_BFGS           0.2630          0.3492         0.44070
## 6             nlsr::nlxb_none           0.4905          0.1285         0.54495
## 7             nnet::nnet_none           0.0790          0.2407         0.46115
## 8         qrnn::qrnn.fit_none           0.5240          0.3331         0.63755
## 9      radiant.model::nn_none           0.1000          0.2129         0.40440
## 10           rminer::fit_none           0.2365          0.2192         0.35460
## 11         validann::ann_BFGS           1.7270          0.2788         0.56205
## 12     validann::ann_L-BFGS-B           1.7985          0.3810         0.47110
##    mDette.RMSE.d51 mDette.MAE.med mDette.WAE.med mDette.npfa mDette.time.rank
## 1          1.21915        1.23590        6.30255           1                4
## 2          1.11150        0.75250       10.30810           2               12
## 3          0.18515        0.33070        1.84535           3                2
## 4          0.25440        0.28565        1.81790           4                6
## 5          0.09150        0.33830        1.94080           5                7
## 6          0.41645        0.43450        2.16030           6                8
## 7          0.22045        0.34535        1.93840           7                1
## 8          0.30445        0.42975        4.68515           8                9
## 9          0.19150        0.30575        1.66740           9                3
## 10         0.13540        0.27310        1.34420          10                5
## 11         0.28325        0.42860        2.34465          11               10
## 12         0.09010        0.35790        1.90765          12               11
##    mDette.RMSE.rank mDette.RMSEmed.rank mDette.RMSEd51.rank mDette.MAE.rank
## 1                 5                  11                  12              12
## 2                12                  12                  11              11
## 3                 7                   4                   4               4
## 4                 1                   2                   7               2
## 5                10                   5                   2               5
## 6                 2                   8                  10              10
## 7                 6                   6                   6               6
## 8                 9                  10                   9               9
## 9                 3                   3                   5               3
## 10                4                   1                   3               1
## 11                8                   9                   8               8
## 12               11                   7                   1               7
##    mDette.WAE.rank              mFriedman.pfa mFriedman.time.mean
## 1               11     brnn::brnn_gaussNewton              0.2695
## 2               12 CaDENCE::cadence.fit_optim              9.7995
## 3                4      MachineShop::fit_none              0.1010
## 4                3     minpack.lm::nlsLM_none              0.3895
## 5                7    monmlp::monmlp.fit_BFGS              0.3125
## 6                8            nlsr::nlxb_none              0.7855
## 7                6            nnet::nnet_none              0.0945
## 8               10        qrnn::qrnn.fit_none              0.4820
## 9                2     radiant.model::nn_none              0.1145
## 10               1           rminer::fit_none              0.2905
## 11               9         validann::ann_BFGS              2.4365
## 12               5     validann::ann_L-BFGS-B              2.5005
##    mFriedman.RMSE.min mFriedman.RMSE.med mFriedman.RMSE.d51 mFriedman.MAE.med
## 1              0.0046            0.00475            0.00015           0.00385
## 2              0.0246            0.09790            0.07330           0.05485
## 3              0.0095            0.01830            0.00880           0.01465
## 4              0.0042            0.07860            0.07440           0.06985
## 5              0.0109            0.01405            0.00315           0.01110
## 6              0.0043            0.01225            0.00795           0.00975
## 7              0.0098            0.01865            0.00885           0.01475
## 8              0.0081            0.02260            0.01450           0.01625
## 9              0.0075            0.01100            0.00350           0.00880
## 10             0.0085            0.01125            0.00275           0.00895
## 11             0.0096            0.01750            0.00790           0.01315
## 12             0.0170            0.02675            0.00975           0.02140
##    mFriedman.WAE.med mFriedman.npfa mFriedman.time.rank mFriedman.RMSE.rank
## 1            0.01440              1                   4                   3
## 2            0.31675              2                  12                  12
## 3            0.06845              3                   2                   7
## 4            0.14960              4                   7                   1
## 5            0.04650              5                   6                  10
## 6            0.04655              6                   9                   2
## 7            0.05925              7                   1                   9
## 8            0.10740              8                   8                   5
## 9            0.03665              9                   3                   4
## 10           0.03860             10                   5                   6
## 11           0.05870             11                  10                   8
## 12           0.10620             12                  11                  11
##    mFriedman.RMSEmed.rank mFriedman.RMSEd51.rank mFriedman.MAE.rank
## 1                       1                      1                  1
## 2                      12                     11                 11
## 3                       7                      7                  7
## 4                      11                     12                 12
## 5                       5                      3                  5
## 6                       4                      6                  4
## 7                       8                      8                  8
## 8                       9                     10                  9
## 9                       2                      4                  2
## 10                      3                      2                  3
## 11                      6                      5                  6
## 12                     10                      9                 10
##    mFriedman.WAE.rank              mIshigami.pfa mIshigami.time.mean
## 1                   1     brnn::brnn_gaussNewton              0.2640
## 2                  12 CaDENCE::cadence.fit_optim             16.3350
## 3                   8      MachineShop::fit_none              0.1560
## 4                  11     minpack.lm::nlsLM_none              0.9655
## 5                   4    monmlp::monmlp.fit_BFGS              0.4770
## 6                   5            nlsr::nlxb_none              1.3965
## 7                   7            nnet::nnet_none              0.1510
## 8                  10        qrnn::qrnn.fit_none              1.1185
## 9                   2     radiant.model::nn_none              0.1870
## 10                  3           rminer::fit_none              0.4585
## 11                  6         validann::ann_BFGS              4.8865
## 12                  9     validann::ann_L-BFGS-B              5.0980
##    mIshigami.RMSE.min mIshigami.RMSE.med mIshigami.RMSE.d51 mIshigami.MAE.med
## 1              0.6362            0.66445            0.02825           0.50995
## 2              0.7178            2.21790            1.50010           1.62720
## 3              0.5373            0.67460            0.13730           0.51375
## 4              0.6116            2.08190            1.47030           1.64035
## 5              0.6812            0.78665            0.10545           0.59015
## 6              0.4749            2.29205            1.81715           1.87205
## 7              0.5449            0.66010            0.11520           0.49415
## 8              0.6113            0.79065            0.17935           0.49095
## 9              0.5359            0.75400            0.21810           0.57110
## 10             0.5510            0.64920            0.09820           0.48090
## 11             0.6567            0.75435            0.09765           0.54670
## 12             0.7329            1.29180            0.55890           1.02340
##    mIshigami.WAE.med mIshigami.npfa mIshigami.time.rank mIshigami.RMSE.rank
## 1            2.93655              1                   4                   8
## 2            7.26735              2                  12                  11
## 3            2.95940              3                   2                   3
## 4            5.79110              4                   7                   7
## 5            3.13690              5                   6                  10
## 6            5.63990              6                   9                   1
## 7            3.03400              7                   1                   4
## 8            3.90065              8                   8                   6
## 9            3.29115              9                   3                   2
## 10           2.84300             10                   5                   5
## 11           3.48445             11                  10                   9
## 12           4.68000             12                  11                  12
##    mIshigami.RMSEmed.rank mIshigami.RMSEd51.rank mIshigami.MAE.rank
## 1                       3                      1                  4
## 2                      11                     11                 10
## 3                       4                      6                  5
## 4                      10                     10                 11
## 5                       7                      4                  8
## 6                      12                     12                 12
## 7                       2                      5                  3
## 8                       8                      7                  2
## 9                       5                      8                  7
## 10                      1                      3                  1
## 11                      6                      2                  6
## 12                      9                      9                  9
##    mIshigami.WAE.rank                mRef153.pfa mRef153.time.mean
## 1                   2     brnn::brnn_gaussNewton            0.0110
## 2                  12 CaDENCE::cadence.fit_optim            3.6790
## 3                   3      MachineShop::fit_none            0.0185
## 4                  11     minpack.lm::nlsLM_none            0.0725
## 5                   5    monmlp::monmlp.fit_BFGS            0.2210
## 6                  10            nlsr::nlxb_none            0.1670
## 7                   4            nnet::nnet_none            0.0135
## 8                   8        qrnn::qrnn.fit_none            0.1855
## 9                   6     radiant.model::nn_none            0.0420
## 10                  1           rminer::fit_none            0.0490
## 11                  7         validann::ann_BFGS            0.7385
## 12                  9     validann::ann_L-BFGS-B            0.9440
##    mRef153.RMSE.min mRef153.RMSE.med mRef153.RMSE.d51 mRef153.MAE.med
## 1            3.3425          3.47895          0.13645         2.50625
## 2            3.2664          3.88610          0.61970         2.55865
## 3            3.0874          3.29660          0.20920         2.28655
## 4            3.1128          3.66440          0.55160         2.63195
## 5            3.2276          3.24870          0.02110         2.24465
## 6            3.0850          3.56440          0.47940         2.59220
## 7            3.1128          3.46780          0.35500         2.52165
## 8            3.3032          3.48535          0.18215         2.14295
## 9            3.1753          3.22510          0.04980         2.23205
## 10           3.0866          3.22510          0.13850         2.18745
## 11           3.1796          3.34460          0.16500         2.32005
## 12           3.1055          3.49495          0.38945         2.51975
##    mRef153.WAE.med mRef153.npfa mRef153.time.rank mRef153.RMSE.rank
## 1         13.93145            1                 1                12
## 2         14.96075            2                12                10
## 3         13.59145            3                 3                 3
## 4         14.87990            4                 6                 6
## 5         14.15480            5                 9                 9
## 6         14.73040            6                 7                 1
## 7         14.03300            7                 2                 5
## 8         15.26000            8                 8                11
## 9         13.94260            9                 4                 7
## 10        13.91980           10                 5                 2
## 11        13.50965           11                10                 8
## 12        14.58805           12                11                 4
##    mRef153.RMSEmed.rank mRef153.RMSEd51.rank mRef153.MAE.rank mRef153.WAE.rank
## 1                     7                    3                7                4
## 2                    12                   12               10               11
## 3                     4                    7                5                2
## 4                    11                   11               12               10
## 5                     3                    1                4                7
## 6                    10                   10               11                9
## 7                     6                    8                9                6
## 8                     8                    6                1               12
## 9                     2                    2                3                5
## 10                    1                    4                2                3
## 11                    5                    5                6                1
## 12                    9                    9                8                8
##                    uDmod1.pfa uDmod1.time.mean uDmod1.RMSE.min uDmod1.RMSE.med
## 1      brnn::brnn_gaussNewton           0.0115          0.0451         0.04510
## 2  CaDENCE::cadence.fit_optim           2.4985          0.0476         0.16135
## 3       MachineShop::fit_none           0.0110          0.0436         0.05915
## 4      minpack.lm::nlsLM_none           0.0470          0.0430         0.04390
## 5     monmlp::monmlp.fit_BFGS           0.2155          0.0684         0.10890
## 6             nlsr::nlxb_none           0.0925          0.0405         0.04600
## 7             nnet::nnet_none           0.0075          0.0435         0.06245
## 8         qrnn::qrnn.fit_none           0.2250          0.0535         0.13270
## 9      radiant.model::nn_none           0.0265          0.0463         0.10450
## 10           rminer::fit_none           0.0220          0.0410         0.04505
## 11         validann::ann_BFGS           0.7030          0.0434         0.08055
## 12     validann::ann_L-BFGS-B           0.8010          0.0523         0.11505
##    uDmod1.RMSE.d51 uDmod1.MAE.med uDmod1.WAE.med uDmod1.npfa uDmod1.time.rank
## 1          0.00000        0.03640        0.11670           1                3
## 2          0.11375        0.09005        0.68880           2               12
## 3          0.01555        0.04700        0.18535           3                2
## 4          0.00090        0.03560        0.11275           4                6
## 5          0.04050        0.08935        0.34775           5                8
## 6          0.00550        0.03630        0.11875           6                7
## 7          0.01895        0.05020        0.18670           7                1
## 8          0.07920        0.07715        0.52825           8                9
## 9          0.05820        0.07865        0.35755           9                5
## 10         0.00405        0.03645        0.11810          10                4
## 11         0.03715        0.06070        0.22725          11               10
## 12         0.06275        0.07685        0.46340          12               11
##    uDmod1.RMSE.rank uDmod1.RMSEmed.rank uDmod1.RMSEd51.rank uDmod1.MAE.rank
## 1                 7                   3                   1               3
## 2                 9                  12                  12              12
## 3                 6                   5                   5               5
## 4                 3                   1                   2               1
## 5                12                   9                   8              11
## 6                 1                   4                   4               2
## 7                 5                   6                   6               6
## 8                11                  11                  11               9
## 9                 8                   8                   9              10
## 10                2                   2                   3               4
## 11                4                   7                   7               7
## 12               10                  10                  10               8
##    uDmod1.WAE.rank              uDreyfus1.pfa uDreyfus1.time.mean
## 1                2     brnn::brnn_gaussNewton              0.0060
## 2               12 CaDENCE::cadence.fit_optim              0.9090
## 3                5      MachineShop::fit_none              0.0070
## 4                1     minpack.lm::nlsLM_none              0.0055
## 5                8    monmlp::monmlp.fit_BFGS              0.1965
## 6                4            nlsr::nlxb_none              0.0215
## 7                6            nnet::nnet_none              0.0020
## 8               11        qrnn::qrnn.fit_none              0.1365
## 9                9     radiant.model::nn_none              0.0180
## 10               3           rminer::fit_none              0.0095
## 11               7         validann::ann_BFGS              0.2685
## 12              10     validann::ann_L-BFGS-B              0.3885
##    uDreyfus1.RMSE.min uDreyfus1.RMSE.med uDreyfus1.RMSE.d51 uDreyfus1.MAE.med
## 1              0.0023            0.00770            0.00540           0.00630
## 2              0.0253            0.48710            0.46180           0.29140
## 3              0.0020            0.00290            0.00090           0.00230
## 4              0.0000            0.00000            0.00000           0.00000
## 5              0.0081            0.03425            0.02615           0.02695
## 6              0.0000            0.00000            0.00000           0.00000
## 7              0.0020            0.00315            0.00115           0.00255
## 8              0.0050            0.28395            0.27895           0.17935
## 9              0.0044            0.00865            0.00425           0.00650
## 10             0.0017            0.00220            0.00050           0.00180
## 11             0.0014            0.00230            0.00090           0.00185
## 12             0.0019            0.07000            0.06810           0.04605
##    uDreyfus1.WAE.med uDreyfus1.npfa uDreyfus1.time.rank uDreyfus1.RMSE.rank
## 1            0.01845              1                   3                   8
## 2            1.23705              2                  12                  12
## 3            0.00925              3                   4                   7
## 4            0.00010              4                   2                   1
## 5            0.09500              5                   9                  11
## 6            0.00010              6                   7                   2
## 7            0.00945              7                   1                   6
## 8            0.88795              8                   8                  10
## 9            0.02705              9                   6                   9
## 10           0.00680             10                   5                   4
## 11           0.00770             11                  10                   3
## 12           0.22125             12                  11                   5
##    uDreyfus1.RMSEmed.rank uDreyfus1.RMSEd51.rank uDreyfus1.MAE.rank
## 1                       7                      8                  7
## 2                      12                     12                 12
## 3                       5                      4                  5
## 4                       1                      1                  1
## 5                       9                      9                  9
## 6                       2                      2                  2
## 7                       6                      6                  6
## 8                      11                     11                 11
## 9                       8                      7                  8
## 10                      3                      3                  3
## 11                      4                      5                  4
## 12                     10                     10                 10
##    uDreyfus1.WAE.rank                uGauss3.pfa uGauss3.time.mean
## 1                   7     brnn::brnn_gaussNewton            0.0270
## 2                  12 CaDENCE::cadence.fit_optim            2.4345
## 3                   5      MachineShop::fit_none            0.0290
## 4                   1     minpack.lm::nlsLM_none            0.0355
## 5                   9    monmlp::monmlp.fit_BFGS            0.2185
## 6                   2            nlsr::nlxb_none            0.0940
## 7                   6            nnet::nnet_none            0.0185
## 8                  11        qrnn::qrnn.fit_none            0.2350
## 9                   8     radiant.model::nn_none            0.0460
## 10                  3           rminer::fit_none            0.0755
## 11                  4         validann::ann_BFGS            0.5555
## 12                 10     validann::ann_L-BFGS-B            0.6660
##    uGauss3.RMSE.min uGauss3.RMSE.med uGauss3.RMSE.d51 uGauss3.MAE.med
## 1            2.4136          2.82730          0.41370         2.21540
## 2            2.2891          3.79240          1.50330         2.70250
## 3            2.2915          3.16370          0.87220         2.49805
## 4            2.2773          2.81850          0.54120         2.20780
## 5            2.6894          3.45360          0.76420         2.70155
## 6            2.2990          2.81850          0.51950         2.20780
## 7            2.2920          2.81850          0.52650         2.20785
## 8            2.3058          3.46965          1.16385         2.54795
## 9            2.2889          3.22465          0.93575         2.54945
## 10           2.2886          2.35685          0.06825         1.85700
## 11           2.2833          3.17870          0.89540         2.51120
## 12           2.3338          3.42100          1.08720         2.69705
##    uGauss3.WAE.med uGauss3.npfa uGauss3.time.rank uGauss3.RMSE.rank
## 1          7.73330            1                 2                11
## 2         13.22890            2                12                 5
## 3          9.77115            3                 3                 6
## 4          7.50780            4                 4                 1
## 5         10.50890            5                 8                12
## 6          7.50770            6                 7                 8
## 7          7.50910            7                 1                 7
## 8         11.85745            8                 9                 9
## 9         10.05160            9                 5                 4
## 10         7.10750           10                 6                 3
## 11         9.79855           11                10                 2
## 12        10.39725           12                11                10
##    uGauss3.RMSEmed.rank uGauss3.RMSEd51.rank uGauss3.MAE.rank uGauss3.WAE.rank
## 1                     5                    2                5                5
## 2                    12                   12               12               12
## 3                     6                    7                6                6
## 4                     2                    5                2                3
## 5                    10                    6               11               10
## 6                     4                    3                3                2
## 7                     3                    4                4                4
## 8                    11                   11                8               11
## 9                     8                    9                9                8
## 10                    1                    1                1                1
## 11                    7                    8                7                7
## 12                    9                   10               10                9
##                 uNeuroOne.pfa uNeuroOne.time.mean uNeuroOne.RMSE.min
## 1      brnn::brnn_gaussNewton              0.0050             0.3522
## 2  CaDENCE::cadence.fit_optim              0.3860             0.2831
## 3       MachineShop::fit_none              0.0065             0.2830
## 4      minpack.lm::nlsLM_none              0.0020             0.2830
## 5     monmlp::monmlp.fit_BFGS              0.1855             0.2830
## 6             nlsr::nlxb_none              0.0085             0.2830
## 7             nnet::nnet_none              0.0025             0.2830
## 8         qrnn::qrnn.fit_none              0.0805             0.2939
## 9      radiant.model::nn_none              0.0210             0.2830
## 10           rminer::fit_none              0.0080             0.2830
## 11         validann::ann_BFGS              0.0685             0.2830
## 12     validann::ann_L-BFGS-B              0.1225             0.2830
##    uNeuroOne.RMSE.med uNeuroOne.RMSE.d51 uNeuroOne.MAE.med uNeuroOne.WAE.med
## 1              0.3523             0.0001            0.2848           0.82705
## 2              0.2831             0.0000            0.2310           0.58160
## 3              0.2830             0.0000            0.2313           0.56750
## 4              0.2830             0.0000            0.2313           0.56750
## 5              0.2831             0.0001            0.2312           0.57445
## 6              0.2830             0.0000            0.2313           0.56750
## 7              0.2830             0.0000            0.2313           0.56750
## 8              0.2939             0.0000            0.2258           0.72310
## 9              0.2830             0.0000            0.2313           0.56780
## 10             0.2830             0.0000            0.2313           0.56750
## 11             0.2830             0.0000            0.2313           0.56750
## 12             0.2830             0.0000            0.2313           0.56750
##    uNeuroOne.npfa uNeuroOne.time.rank uNeuroOne.RMSE.rank
## 1               1                   3                  12
## 2               2                  12                  10
## 3               3                   4                   3
## 4               4                   1                   1
## 5               5                  11                   9
## 6               6                   6                   5
## 7               7                   2                   2
## 8               8                   9                  11
## 9               9                   7                   6
## 10             10                   5                   4
## 11             11                   8                   7
## 12             12                  10                   8
##    uNeuroOne.RMSEmed.rank uNeuroOne.RMSEd51.rank uNeuroOne.MAE.rank
## 1                      12                     11                 12
## 2                      10                      1                  2
## 3                       3                      2                  4
## 4                       1                      3                  5
## 5                       9                     12                  3
## 6                       5                      4                  6
## 7                       2                      5                  7
## 8                      11                      6                  1
## 9                       6                      7                  8
## 10                      4                      8                  9
## 11                      7                      9                 10
## 12                      8                     10                 11
##    uNeuroOne.WAE.rank
## 1                  12
## 2                  10
## 3                   1
## 4                   2
## 5                   9
## 6                   3
## 7                   4
## 8                  11
## 9                   8
## 10                  5
## 11                  6
## 12                  7
sfrwide[, grep("pfa", colnames(sfrwide))] # Identical columns
##                    mDette.pfa mDette.npfa              mFriedman.pfa
## 1      brnn::brnn_gaussNewton           1     brnn::brnn_gaussNewton
## 2  CaDENCE::cadence.fit_optim           2 CaDENCE::cadence.fit_optim
## 3       MachineShop::fit_none           3      MachineShop::fit_none
## 4      minpack.lm::nlsLM_none           4     minpack.lm::nlsLM_none
## 5     monmlp::monmlp.fit_BFGS           5    monmlp::monmlp.fit_BFGS
## 6             nlsr::nlxb_none           6            nlsr::nlxb_none
## 7             nnet::nnet_none           7            nnet::nnet_none
## 8         qrnn::qrnn.fit_none           8        qrnn::qrnn.fit_none
## 9      radiant.model::nn_none           9     radiant.model::nn_none
## 10           rminer::fit_none          10           rminer::fit_none
## 11         validann::ann_BFGS          11         validann::ann_BFGS
## 12     validann::ann_L-BFGS-B          12     validann::ann_L-BFGS-B
##    mFriedman.npfa              mIshigami.pfa mIshigami.npfa
## 1               1     brnn::brnn_gaussNewton              1
## 2               2 CaDENCE::cadence.fit_optim              2
## 3               3      MachineShop::fit_none              3
## 4               4     minpack.lm::nlsLM_none              4
## 5               5    monmlp::monmlp.fit_BFGS              5
## 6               6            nlsr::nlxb_none              6
## 7               7            nnet::nnet_none              7
## 8               8        qrnn::qrnn.fit_none              8
## 9               9     radiant.model::nn_none              9
## 10             10           rminer::fit_none             10
## 11             11         validann::ann_BFGS             11
## 12             12     validann::ann_L-BFGS-B             12
##                   mRef153.pfa mRef153.npfa                 uDmod1.pfa
## 1      brnn::brnn_gaussNewton            1     brnn::brnn_gaussNewton
## 2  CaDENCE::cadence.fit_optim            2 CaDENCE::cadence.fit_optim
## 3       MachineShop::fit_none            3      MachineShop::fit_none
## 4      minpack.lm::nlsLM_none            4     minpack.lm::nlsLM_none
## 5     monmlp::monmlp.fit_BFGS            5    monmlp::monmlp.fit_BFGS
## 6             nlsr::nlxb_none            6            nlsr::nlxb_none
## 7             nnet::nnet_none            7            nnet::nnet_none
## 8         qrnn::qrnn.fit_none            8        qrnn::qrnn.fit_none
## 9      radiant.model::nn_none            9     radiant.model::nn_none
## 10           rminer::fit_none           10           rminer::fit_none
## 11         validann::ann_BFGS           11         validann::ann_BFGS
## 12     validann::ann_L-BFGS-B           12     validann::ann_L-BFGS-B
##    uDmod1.npfa              uDreyfus1.pfa uDreyfus1.npfa
## 1            1     brnn::brnn_gaussNewton              1
## 2            2 CaDENCE::cadence.fit_optim              2
## 3            3      MachineShop::fit_none              3
## 4            4     minpack.lm::nlsLM_none              4
## 5            5    monmlp::monmlp.fit_BFGS              5
## 6            6            nlsr::nlxb_none              6
## 7            7            nnet::nnet_none              7
## 8            8        qrnn::qrnn.fit_none              8
## 9            9     radiant.model::nn_none              9
## 10          10           rminer::fit_none             10
## 11          11         validann::ann_BFGS             11
## 12          12     validann::ann_L-BFGS-B             12
##                   uGauss3.pfa uGauss3.npfa              uNeuroOne.pfa
## 1      brnn::brnn_gaussNewton            1     brnn::brnn_gaussNewton
## 2  CaDENCE::cadence.fit_optim            2 CaDENCE::cadence.fit_optim
## 3       MachineShop::fit_none            3      MachineShop::fit_none
## 4      minpack.lm::nlsLM_none            4     minpack.lm::nlsLM_none
## 5     monmlp::monmlp.fit_BFGS            5    monmlp::monmlp.fit_BFGS
## 6             nlsr::nlxb_none            6            nlsr::nlxb_none
## 7             nnet::nnet_none            7            nnet::nnet_none
## 8         qrnn::qrnn.fit_none            8        qrnn::qrnn.fit_none
## 9      radiant.model::nn_none            9     radiant.model::nn_none
## 10           rminer::fit_none           10           rminer::fit_none
## 11         validann::ann_BFGS           11         validann::ann_BFGS
## 12     validann::ann_L-BFGS-B           12     validann::ann_L-BFGS-B
##    uNeuroOne.npfa
## 1               1
## 2               2
## 3               3
## 4               4
## 5               5
## 6               6
## 7               7
## 8               8
## 9               9
## 10             10
## 11             11
## 12             12

4.3 Global scores on combined datasets

sfr.time   <- sfrwide[, c(grep("time.rank", colnames(sfrwide)))]
time.score <- rank(apply(sfr.time, 1, sum), ties.method = "min")
sfr.RMSE       <- sfrwide[, c(grep("RMSE.rank", colnames(sfrwide)))]
RMSE.score     <- rank(apply(sfr.RMSE, 1, sum), ties.method = "min")
sfr.RMSEmed    <- sfrwide[, c(grep("RMSEmed.rank", colnames(sfrwide)))]
RMSEmed.score  <- rank(apply(sfr.RMSEmed, 1, sum), ties.method = "min")
sfr.RMSEd51    <- sfrwide[, c(grep("RMSEd51.rank", colnames(sfrwide)))]
RMSEd51.score  <- rank(apply(sfr.RMSEd51, 1, sum), ties.method = "min")
sfr.MAE       <- sfrwide[, c(grep("MAE.rank", colnames(sfrwide)))]
MAE.score     <- rank(apply(sfr.MAE, 1, sum), ties.method = "min")
sfr.WAE       <- sfrwide[, c(grep("WAE.rank", colnames(sfrwide)))]
WAE.score     <- rank(apply(sfr.WAE, 1, sum), ties.method = "min")

scoredfr0 <- data.frame(sfr$uNeuroOne[,"pfa",drop=FALSE], 
# scoredfr0 <- data.frame(sfr$uNeuroOne[,c("pfa")], 
                        time.score, 
                        RMSE.score, 
                        RMSEmed.score,
                        RMSEd51.score,
              MAE.score,
              WAE.score)

scoredfr <- scoredfr0[order(scoredfr0$RMSE.score),]
rownames(scoredfr) <- NULL

kable(scoredfr)
pfa time.score RMSE.score RMSEmed.score RMSEd51.score MAE.score WAE.score
minpack.lm::nlsLM_none 5 1 3 7 3 3
nlsr::nlxb_none 7 2 6 7 5 4
rminer::fit_none 6 3 1 1 1 1
MachineShop::fit_none 2 4 2 3 2 2
radiant.model::nn_none 4 5 5 7 5 8
nnet::nnet_none 1 6 3 5 4 4
validann::ann_BFGS 10 7 8 6 9 7
brnn::brnn_gaussNewton 3 8 6 2 8 6
validann::ann_L-BFGS-B 11 9 10 10 11 10
qrnn::qrnn.fit_none 9 10 11 11 5 11
CaDENCE::cadence.fit_optim 12 11 12 12 12 12
monmlp::monmlp.fit_BFGS 8 12 9 4 10 9