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+zonx nonword
+zops nonword
+zopt nonword
+zorb nonword
+zorc nonword
+zorf nonword
+zorg nonword
+zorl nonword
+zorn nonword
+zorp nonword
+zorr nonword
+zors nonword
+zorv nonword
+zosc nonword
+zosh nonword
+zosk nonword
+zosp nonword
+zoss nonword
+zotd nonword
+zots nonword
+zott nonword
+zovs nonword
+zowd nonword
+zowk nonword
+zowl nonword
+zown nonword
+zows nonword
+zowt nonword
+zoxt nonword
+zozz nonword
diff --git a/07 Final Assignment - Rescorla Wagner/experiments.R b/07 Final Assignment - Rescorla Wagner/experiments.R
new file mode 100644
index 0000000..a130f54
--- /dev/null
+++ b/07 Final Assignment - Rescorla Wagner/experiments.R
@@ -0,0 +1,138 @@
+#-------------------------------------------------------------------------
+
+library(ndl)
+source("learnWeights.R") # creates learnWeights.fnc
+
+dat = read.table("dataDan.txt", T, stringsAsFactors=FALSE)
+
+dat$Cues = orthoCoding(dat$String, grams=2)
+dat$Frequency=1
+dat$Outcomes = dat$Type
+# reshuffle order of learning events
+
+# use Danks equilibrium equations
+wD = estimateWeights(dat, alpha=0.1, beta=0.1)
+aD = estimateActivations(dat, wD)$activationMatrix
+aD = aD[,order(colnames(aD))]
+
+dat$ChoiceD = apply(aD, 1, FUN=function(v){
+ if(v[1]>=v[2]) {
+ return("nonword")
+ } else {
+ return("word")
+ }})
+
+table(dat$Type, dat$ChoiceD)
+#
+# nonword word
+# nonword 7832 0
+# word 116 191
+
+
+# use RW equations learning event by learning event
+# now order becomes important
+set.seed(314)
+dat = dat[sample(1:nrow(dat)),]
+cues = unique(unlist(strsplit(dat$Cues, "_")))
+outcomes = unique(unlist(strsplit(dat$Outcomes, "_")))
+wRW = learnWeights.fnc(dat, cues, outcomes, alpha=0.1, beta=0.1)
+aRW = estimateActivations(dat, wRW)$activationMatrix
+aRW = aRW[,order(colnames(aRW))]
+
+dat$ChoiceRW = apply(aRW, 1, FUN=function(v){
+ if(v[1]>=v[2]) {
+ return("nonword")
+ } else {
+ return("word")
+ }})
+table(dat$Type, dat$ChoiceRW)
+#
+# nonword word
+# nonword 7832 0
+# word 296 11
+
+#-------------------------------------------------------------------------
+
+
+
+# Let's create a fictive first block of 100 learning trials.
+#-------------------------------------------------------------------------
+
+source("learnWeights.R") # creates learnWeights.fnc
+dat = read.table("dataDan.txt", T, stringsAsFactors=FALSE)
+dat$Cues = orthoCoding(dat$String, grams=2)
+dat$Frequency=1
+dat$Outcomes = dat$Type
+
+set.seed(314)
+words = dat[dat$Type=="word", ]
+kNumWords = dim(words)[1]
+nonwords = dat[dat$Type=="nonword", ]
+kNumNonwords = dim(nonwords)[1]
+words1 = words[sample(1:nrow(words), 50), ]
+nonwords1 = nonwords[sample(1:nrow(nonwords),50), ]
+block1 = rbind(words1,nonwords1)
+block1 = block1[sample(1:nrow(block1)), ]
+
+cues = unique(unlist(strsplit(block1$Cues, "_")))
+outcomes = unique(unlist(strsplit(block1$Outcomes, "_")))
+block1.w = learnWeights.fnc(datset=block1,cueset=cues, outcomeset=outcomes,
+ alpha=sqrt(0.001), beta=sqrt(0.001), lambda=1.0)
+block1.a = estimateActivations(block1, block1.w)$activationMatrix
+block1.a = block1.a[ ,order(colnames(block1.a))]
+
+block1$Choice = apply(block1.a, 1, FUN=function(v){
+ if(v[1]>=v[2]) {
+ return("nonword")
+ } else {
+ return("word")
+ }})
+table(block1$Type, block1$Choice)
+#
+# nonword word
+# nonword 38 12
+# word 1 49
+
+#add learned words to the vector of learned words
+learned.words = numeric(kNumWords)
+counter = 1
+for(i in 1:100) {
+ if(block1[i, ]$Type == "word" & block1[i, ]$Choice == "word" ) {
+ learned.words[counter] = learned.words[counter] = block1[i, ]$row.names
+ counter = counter + 1
+ }
+}
+learned.words
+
+#some aspects of the experiment as described in the paper
+#kNumBlocks = 30
+kNumTrialsPerBlock = 100 #2000 ?????
+kNumBlocks = 2000
+
+
+for(i in 1:1) {
+
+ set.seed(314)
+ current.words = words[sample(1:nrow(words), 50), ] #to be changed
+ current.nonwords = nonwords[sample(1:nrow(nonwords),50), ]
+ block.words = rbind(current.words, current.nonwords)
+ block.words = block.words[sample(1:nrow(block.words)), ]
+
+ cues = unique(unlist(strsplit(block.words$Cues, "_")))
+ outcomes = unique(unlist(strsplit(block.words$Outcomes, "_")))
+ block.words.w = learnWeights.fnc(datset=block.words,cueset=cues, outcomeset=outcomes,
+ alpha=sqrt(0.001), beta=sqrt(0.001), lambda=1.0)
+ block.words.a = estimateActivations(block.words, block.words.w)$activationMatrix
+ block.words.a = block.words.a[ ,order(colnames(block.words.a))]
+
+ block.words$Choice = apply(block.words.a, 1, FUN=function(v){
+ if(v[1]>=v[2]) {
+ return("nonword")
+ } else {
+ return("word")
+ }})
+
+ print(table(block.words$Type, block.words$Choice))
+}
+
+
diff --git a/07 Final Assignment - Rescorla Wagner/learnWeights.R b/07 Final Assignment - Rescorla Wagner/learnWeights.R
new file mode 100644
index 0000000..0b7c769
--- /dev/null
+++ b/07 Final Assignment - Rescorla Wagner/learnWeights.R
@@ -0,0 +1,33 @@
+learnWeights.fnc = function(datset=block1, cueset=cues, outcomeset=outcomes,
+ alpha=sqrt(0.001), beta=sqrt(0.001), lambda=1.0) {
+ # set up weight matrix and assign row and column names
+ w = matrix(0, length(cueset), length(outcomeset))
+ rownames(w)=cueset
+ colnames(w)=outcomeset
+ # make a list of relevant sets of cues
+ cues = strsplit(datset$Cues, "_")
+ # loop over all learning events in datset, row by row
+ for (i in 1:length(cues)) {
+ # apply Rescorla-Wagner equations
+ Vtotals = colSums(w[cues[[i]], outcomeset])
+ for (j in 1:length(cues[[i]])) {
+ if (datset$Type[i]=="nonword") {
+ w[cues[[i]][j],"nonword"] = w[cues[[i]][j],"nonword"] +
+ alpha*beta*(lambda-Vtotals["nonword"])
+ w[cues[[i]][j],"word"] = w[cues[[i]][j],"word"] +
+ alpha*beta*(0-Vtotals["word"])
+ } else {
+ if (datset$Type[i]=="word") {
+ w[cues[[i]][j],"word"] = w[cues[[i]][j],"word"] +
+ alpha*beta*(lambda-Vtotals["word"])
+ w[cues[[i]][j],"nonword"] = w[cues[[i]][j],"nonword"] +
+ alpha*beta*(0-Vtotals["nonword"])
+ }
+ }
+ }
+ }
+ # and return weight matrix at the end of learning
+ return(w)
+}
+
+
diff --git a/07_final_assignment/paper/code.tex b/07_final_assignment/paper/code.tex
new file mode 100644
index 0000000..e348795
--- /dev/null
+++ b/07_final_assignment/paper/code.tex
@@ -0,0 +1,715 @@
+%TODO: simply copy/paste code from R here.
+\begin{lstlisting}[language=R]
+
+library(testthat)
+library(ndl)
+library(compiler)
+library(fields)
+library(parallel)
+library(doParallel)
+library(foreach)
+library(itsadug)
+library(mgcv)
+library(xtable)
+enableJIT(3)
+
+
+########################################################################################
+#### DATA OF ORIGINAL EXPERIMENT
+########################################################################################
+
+monkeydat <- data.frame(Monkey=c("DAN", "ART", "CAU", "DOR", "VIO", "ARI"),
+ NumTrials=c(56689, 50985, 61142, 49608, 43041, 55407),
+ NumWordsLearned=c(308, 125, 112, 121, 81, 87),
+ NumNonwordsPresented=c(7832, 7832, 7832, 7832, 7832, 7832),
+ GeneralAccuracy=c(79.81, 73.41, 72.43, 73.15, 71.55, 71.14),
+ WordAccuracy=c(80.01, 74.83, 73.15, 79.26, 76.75, 75.38),
+ NonwordAccuracy=c(79.61, 72.00, 71.72, 67.06, 66.33, 66.90),
+ stringsAsFactors=F)
+
+
+########################################################################################
+#### DEFINING THE EXPERIMENTAL FUNCTIONS
+########################################################################################
+
+Resample <- function(x){
+ x[sample.int(length(x))]
+}
+
+test_that("Resample", {
+ x <- 1:10
+ expect_that(length(Resample(x[x > 8])), equals(2))
+ expect_that(length(Resample(x[x > 9])), equals(1))
+ expect_that(length(Resample(x[x > 10])), equals(0))
+})
+
+RandomPick <- function(data, n) {
+ if ( is.data.frame(data) ){
+ data[sample(nrow(data), n, replace=TRUE),]
+ } else {
+ data[sample(length(data), n, replace=TRUE)]
+ }
+}
+
+test_that("RandomPick", {
+ n <- 10
+
+ bigger <- 1:(3 * n)
+ equal <- 1:n
+ smaller <- c(1)
+ empty <- c()
+ df <- data.frame(a=c(1,2,3), b=c(4,5,6))
+
+ expect_equal(length(RandomPick(bigger, n)), n)
+ expect_equal(length(RandomPick(equal, n)), n)
+ expect_equal(length(RandomPick(smaller, n)), n)
+ expect_equal(length(RandomPick(empty, n)), 0)
+ expect_equal(nrow(RandomPick(df, n)), n)
+})
+
+
+CreateBlock <- function(data){
+ result <- data.frame(Stimulus=character(BLOCK_SIZE),
+ StimulusType=factor(character(BLOCK_SIZE),
+ c("LearnedWord","NewWord","Nonword")),
+ stringsAsFactors=F)
+ data <- data[,c("Stimulus","StimulusType")]
+ stopifnot(is.character(data$Stimulus))
+
+ newSample <- RandomPick(data[data$StimulusType == "NewWord",], 1)
+ learnedSample <- RandomPick(data[data$StimulusType == "LearnedWord",], 25)
+ if( nrow(newSample) > 0 ) {
+ result[1:25,] <- newSample
+ } else {
+ result[1:25,] <- learnedSample
+ }
+ if( nrow(learnedSample) > 0 ){
+ result[26:50,] <- learnedSample
+ } else {
+ result[26:50,] <- newSample
+ }
+
+ result[51:100,] <- RandomPick(data[data$StimulusType == "Nonword",], 50)
+
+ result <- result[sample(nrow(result)),]
+ rownames(result) <- 1:nrow(result)
+ result
+}
+
+BLOCK_SIZE <- 100
+test_that("CreateBlock", {
+ stim <- as.character(1:300)
+ data <- data.frame(Stimulus=stim, stringsAsFactors=F)
+ data$StimulusType[1:100] <- "NewWord"
+ data$StimulusType[101:200] <- "LearnedWord"
+ data$StimulusType[201:300] <- "Nonword"
+
+ block <- CreateBlock(data)
+ trialNewWords <- block$Stimulus[ block$StimulusType == "NewWord" ]
+ trialLearnedWords <- block$Stimulus[ block$StimulusType == "LearnedWord" ]
+ trialNonwords <- block$Stimulus[ block$StimulusType == "Nonword" ]
+
+ expect_that(nrow(block), equals(BLOCK_SIZE))
+ expect_that(length(trialNewWords), equals(25))
+ expect_that(length(unique(trialNewWords)), equals(1))
+ expect_that(length(trialLearnedWords), equals(25))
+ expect_that(length(trialNonwords), equals(50))
+ # TODO: Decide what should be expected for empty vectors?
+})
+
+
+PresentTrials <- function(trialCount, present, data){
+
+ trials = data.frame()
+
+ for ( curTrialNum in 1:trialCount ) {
+ curBlock <- ( (curTrialNum - 1) %/% BLOCK_SIZE) + 1
+ curTrialNumInBlock <- ( (curTrialNum - 1) %% BLOCK_SIZE ) + 1
+ isNewBlock <- curTrialNumInBlock == 1
+
+ if ( isNewBlock ) {
+ if ( curBlock > 1 ){
+ newWordTrials <- block[block$StimulusType == "NewWord", ]
+ if( length(unique(newWordTrials$Stimulus)) == 1 ){
+ newWordTrials <- newWordTrials[1, ]
+ wordResponses <- newWordTrials[newWordTrials$Response == "Word", ]
+ wordResponseRate <- nrow(wordResponses) / nrow(newWordTrials)
+ if ( wordResponseRate >= 0.8 ){
+ data$StimulusType[data$Stimulus == newWordTrials$Stimulus] <- "LearnedWord"
+ }
+ }
+ }
+ block <- CreateBlock(data)
+ block$Block <- curBlock
+ block$TrialInBlock <- 1:nrow(block)
+ }
+
+ curTrial <- block[curTrialNumInBlock,]
+ curStim <- curTrial$Stimulus
+ curStimIsWord <- present(curStim, ifelse(curTrial$StimulusType == "Nonword", "Nonword", "Word"))
+
+ block$Trial[curTrialNumInBlock] <- curTrialNum
+ block$Response[curTrialNumInBlock] <- curStimIsWord
+
+ trials <- rbind(trials, block[curTrialNumInBlock, ])
+ }
+
+ rownames(trials) <- 1:trialCount
+
+ result <- list(Trials=trials, Stimuli=data)
+
+ return(result)
+}
+
+test_that("PresentTrials", {
+ stim <- as.character(1:300)
+ data <- data.frame(Stimulus=stim, stringsAsFactors=F)
+ data$StimulusType[1:100] <- "NewWord"
+ data$StimulusType[101:200] <- "LearnedWord"
+ data$StimulusType[201:300] <- "Nonword"
+ count <- BLOCK_SIZE * 2.5
+
+ result <- PresentTrials(count,
+ function(cue, outcome){
+ return(outcome)
+ },
+ data)
+ trials <- result$Trials
+ stimuli <- result$Stimuli
+ expect_equal(nrow(trials), count)
+ expect_equal(length(stimuli$StimulusType[stimuli$StimulusType == "LearnedWord"]), 102)
+})
+
+# The original colSums fails if matrix filters to 1 row and gets implicit casted to a vector
+ColSums <- function(x) {
+ if(is.matrix(x)){
+ return(colSums(x))
+ } else {
+ return(x)
+ }
+}
+
+test_that("ColSums",{
+ m2x2 <- matrix(1,2,2)
+ colnames(m2x2) <- c("a","b")
+
+ expect_equal(ColSums(m2x2), c(a=2,b=2))
+ expect_equal(ColSums(m2x2[1,]), c(a=1,b=1))
+})
+
+MakeMonkey <- function(cueset, outcomeset=c("Word", "Nonword"),
+ alpha=sqrt(0.001), beta=sqrt(0.001), lambda=1.0, randomRatio=0.2){
+ weights <- matrix(0, length(cueset), length(outcomeset))
+ rownames(weights) <- cueset
+ colnames(weights) <- outcomeset
+
+ rate <- function(cue){
+ cues <- unlist(strsplit(cue, "_"))
+ cueWeights <- weights[cues, outcomeset]
+ totalActivation <- ColSums(cueWeights)
+
+ maxActivated <- names(totalActivation[totalActivation == max(totalActivation)])
+ return(RandomPick(maxActivated,1))
+ }
+ randomLearner <- function(stim,resp){
+ c("Word","Nonword")[sample(1:2,1)]
+ }
+
+ realLearner <- function(stim, resp){
+ cues <- unlist(strsplit(stim, "_"))
+
+ cueWeights <- weights[cues, outcomeset]
+ totalActivation <- ColSums(cueWeights)
+
+ for (j in 1:length(cues)) {
+ if (resp == "Nonword") {
+ yesType <- "Nonword"
+ noType <- "Word"
+ } else if (resp == "Word") {
+ yesType <- "Word"
+ noType <- "Nonword"
+ } else {
+ stop("Unknown outcome", resp)
+ }
+ weights[cues[j],yesType] <<- weights[cues[j],yesType] +
+ alpha * beta * (lambda - totalActivation[yesType])
+ weights[cues[j],noType] <<- weights[cues[j],noType] +
+ alpha * beta * (0 - totalActivation[noType])
+ }
+ monkeyGuess <- rate(stim)
+ return(monkeyGuess)
+ }
+
+ learner <- function(stim, resp) {
+ if( runif(1) < randomRatio ){
+ randomLearner(stim,resp)
+ } else {
+ realLearner(stim,resp)
+ }
+ }
+
+ give_weights <- function(){
+ return(weights)
+ }
+
+ return(list(
+ GetWeights=give_weights,
+ Learner=learner,
+ Rate=rate))
+}
+
+
+test_that("MakeMonkey",{
+ cueset <- c("a","b","c")
+
+ monkey <- MakeMonkey(cueset)
+ for (i in 1:1000){
+ monkey$Learner("a_b","Word")
+ monkey$Learner("b_c","Nonword")
+ }
+
+ print(monkey$GetWeights())
+ expect_equal(monkey$Rate("a"), "Word")
+ expect_equal(monkey$Rate("c"), "Nonword")
+})
+
+prepareDat <- function(){
+ dat <- read.table("dataDan.txt", header=T, stringsAsFactors=F)
+ dat$Cues <- orthoCoding(dat$String, grams=2)
+ dat$Frequency <- 1
+ dat$Stimulus <- dat$Cues
+ dat$StimulusType <- factor(ifelse(dat$Type == "word", "NewWord", "Nonword"), c("Nonword","NewWord","LearnedWord"))
+ dat$Outcomes <- factor(ifelse(dat$Type == "word", "Word", "Nonword"), c("Word","Nonword"))
+ dat <- dat[sample(1:nrow(dat)),]
+ cues <- unique(unlist(strsplit(dat$Cues, "_")))
+ outcomes <- levels(dat$Outcomes)
+ list(cues=cues,outcomes=outcomes,dat=dat)
+}
+
+runSim <- function(data, trialCount, alpha, beta, lambda=1, randomRatio) {
+ monkey <- MakeMonkey(data$cues, data$outcomes, alpha, beta, lambda=lambda, randomRatio=randomRatio)
+ trialNum <- round(trialCount)
+ pres <- PresentTrials(
+ trialNum,
+ monkey$Learner, data$dat)
+ return(pres)
+}
+
+analyseSim <- function(pres){
+ learnedWordNum <- nrow(pres$Stimuli[pres$Stimuli$StimulusType == "LearnedWord",])
+ trialNum <- nrow(pres$Trials)
+ nonwordTrials <- pres$Trials[pres$Trials$StimulusType == "Nonword",]
+ wordTrials <- pres$Trials[pres$Trials$StimulusType != "Nonword",]
+ presNonwordNum <- length(unique(nonwordTrials$Stimulus))
+ presWordNum <- length(unique(wordTrials$Stimulus))
+ nonwordAcc <- nrow(nonwordTrials[nonwordTrials$Response == "Nonword",]) / nrow(nonwordTrials)
+ wordAcc <- nrow(nonwordTrials[wordTrials$Response == "Word",]) / nrow(wordTrials)
+ genAcc <- (nrow(nonwordTrials) * nonwordAcc + nrow(wordTrials) * wordAcc) / trialNum
+
+ c("Sim",
+ trialNum,
+ learnedWordNum,
+ presNonwordNum,
+ genAcc,
+ wordAcc,
+ nonwordAcc)
+}
+
+simulateAndAnalyse <- function(data, trialCount, alpha=sqrt(0.001), beta=sqrt(0.001), randomRatio=0.2){
+ p <- runSim(data, trialCount, alpha, beta, lambda=1, randomRatio)
+ analyseSim(p)
+}
+
+
+########################################################################################
+#### IGNORE THIS BLOCK
+########################################################################################
+if (FALSE) {
+ data <- prepareDat()
+
+ testfunc = function() {
+ n <- 10
+ trialCount <- 50000
+ for( a in 0:n) {
+ k <- 1.0 / n * a
+ print(k)
+ #s <- simulateAndAnalyse(data, trialCount, alpha=1, beta=k)
+ s <- simulateAndAnalyse(data, trialCount, alpha=0.000001, beta=0.00001)
+ s[1] <- as.character(k)
+ monkeydat <- rbind(monkeydat,
+ s)
+ }
+ return(monkeydat)
+ }
+
+
+}
+
+########################################################################################
+#### RUNNING THE PARALLELIZED EXPERIMENTS
+########################################################################################
+
+# code for parallelizing the experiment.
+# Goal: Being able to run without a shared data structure
+# and thus avoiding conflicts with critical sections.
+# Solution: Reading and printing from and to different files
+# for each thread (divide-and-conquer). Results need to be combined
+# in the end.
+
+print.iterations <- FALSE #Note: Not meaningful for parallel execution,
+#see http://blog.revolutionanalytics.com/2015/02/monitoring-progress-of-a-foreach-parallel-job.html
+#for a discussion
+
+num.cores <- 15 #Can NOT be changed without further code adjustment
+monkeys.per.core <- 8 #Can NOT be changed without further code adjustment
+
+
+start.of.a.and.b <- 0.001 #Can be changed with no further code adjustment
+end.of.a.and.b <- 0.300 #Can be changed with no further code adjustment
+
+debug <- FALSE
+
+
+#8 experiments for each core, 15 cores
+# -> 120 Experiments possible.
+#This is exactly the number of experiments
+#necessary to run 15 x 15 conditions in
+#a symmetrical setting (= little Gauss of 15)
+
+
+a.and.b.combinations <- matrix(nrow=2, ncol=0)
+aseq <- seq(from=start.of.a.and.b, to=end.of.a.and.b, length.out=15)
+step <- aseq[2] - aseq[1]
+for(a in aseq) {
+ for(b in seq(from=start.of.a.and.b, to=a, by=step)) {
+ a.and.b.combinations <- cbind(a.and.b.combinations, c(a, b))
+ }
+}
+
+get.a <- function(i, index) {
+ return((a.and.b.combinations[1, ((i*monkeys.per.core)-(monkeys.per.core-1)) : (i*monkeys.per.core)])[index])
+}
+
+get.b <- function(i, index) {
+ return((a.and.b.combinations[2, ((i*monkeys.per.core)-(monkeys.per.core-1)) : (i*monkeys.per.core)])[index])
+}
+
+do.experiment <- function(i) {
+ resultdir <- "results"
+ dir.create(resultdir, showWarnings = FALSE) # dont show warning if dir exists
+ filename <- paste(resultdir, "/", "resultdat", i, ".txt", sep="")
+
+ if(debug) {
+ resultdat <- data.frame(alpha=numeric(1), beta=numeric(1),
+ Time=character(1),
+ NumWordsLearned=numeric(1),
+ NumNonwordsPresented=numeric(1),
+ GeneralAccuracy=numeric(1),
+ WordAccuracy=numeric(1),
+ NonwordAccuracy=numeric(1))
+ } else {
+ resultdat <- data.frame(alpha=numeric(1), beta=numeric(1),
+ NumTrials=numeric(1),
+ NumWordsLearned=numeric(1),
+ NumNonwordsPresented=numeric(1),
+ GeneralAccuracy=numeric(1),
+ WordAccuracy=numeric(1),
+ NonwordAccuracy=numeric(1))
+ }
+ write.table(resultdat, file=filename, col.names=names(resultdat))
+
+ trialCount <- 50000
+ r <- 0.65
+ for(index in 1:monkeys.per.core) {
+
+ a = get.a(i, index)
+ b = get.b(i, index)
+ resultdat = read.table(filename)
+
+ if(print.iterations) {
+ print(paste("--running-- i: ", i, " a: ", a, " b: ", b, " r: ", r, sep="" ))
+ }
+
+ if(debug) {
+ Sys.sleep(1)
+ current.time = Sys.time()
+ debug.frame = data.frame(alpha=a, beta=b,
+ Time=as.character(current.time),
+ NumWordsLearned=numeric(1),
+ NumNonwordsPresented=numeric(1),
+ GeneralAccuracy=numeric(1),
+ WordAccuracy=numeric(1),
+ NonwordAccuracy=numeric(1))
+
+ resultdat <- rbind(resultdat, debug.frame)
+
+ } else {
+
+ s <- simulateAndAnalyse(data, trialCount, alpha=a, beta=b, randomRatio=r )
+ s[1] <- as.character(trialCount)
+ resultdat <- rbind(resultdat,
+ c(a, b, s[2:length(s)]))
+
+ }
+
+ #write preliminary result to file -> in case of interruption nothing gets lost
+ write.table(resultdat, file=filename, col.names=names(resultdat))
+ }
+
+ resultdat <- resultdat[-1, ] #remove 1st row which is just always 0
+ write.table(resultdat, file=filename, col.names=names(resultdat))
+ return(resultdat)
+}
+
+
+#...RUN, MONKEY, RUN!
+cl <- makeCluster(num.cores)
+registerDoParallel(cl)
+foreach(i=1:num.cores) %dopar% do.experiment(i)
+
+
+########################################################################################
+#### HARVESTING DATA & VISUALIZATION I
+########################################################################################
+
+harvest.data <- function(write.to.file=FALSE, folder="results_backup") {
+ data = data.frame()
+ for(i in 1:num.cores) {
+ d <- read.table(paste(folder, "resultdat", i, ".txt", sep=""))
+ data <- rbind(data, d)
+ }
+ if(write.to.file) {
+ write.table(data, file="preliminary_results.txt", col.names=names(data))
+ }
+ return(data)
+}
+
+
+get.index <- function(sequence, value) {
+ res <- logical(length(sequence))
+ for(i in 1:length(sequence)) {
+ res[i] <- isTRUE(all.equal(sequence[i], value))
+ }
+ return(which(res))
+}
+
+
+get.matrix <- function(data, value, sequence) {
+ if(!any(names(data)==value)) {
+ stop("'value' needs to be part of the data.frame")
+ }
+ v.index = which(names(data)==value)
+
+ sequence <- round(sequence, 3)
+
+ z <- matrix(nrow=length(sequence), ncol=length(sequence))
+
+ for(i in 1:nrow(data)) {
+
+ alpha <- round(data[i, ]$alpha, 3)
+ beta <- round(data[i, ]$beta, 3)
+
+ a.index <- get.index(sequence, alpha)
+ b.index <- get.index(sequence, beta)
+ if(isTRUE(all.equal(length(a.index), 0)) ||
+ isTRUE(all.equal(length(b.index), 0))){
+ print("problem: ")
+ print(alpha)
+ print(beta)
+ stop("sequence must contain alpha and beta values")
+ }
+ z[a.index, b.index] <- data[i, v.index]
+ z[b.index, a.index] <- data[i, v.index]
+ }
+ return(z)
+}
+
+data = harvest.data(TRUE)
+
+
+mat1 = matrix(rexp(15*15, rate=.1), ncol=15, nrow=15)
+
+conditions <- c("GeneralAccuracy", "WordAccuracy",
+ "NonwordAccuracy", "NumWordsLearned")
+
+for(c in conditions) {
+ image.plot(x=sort(aseq),
+ y=sort(aseq),
+ z=get.matrix(data, c, aseq),
+ #z = mat1, #alternative while results are not here yet
+ main=c,
+ xlab="alpha",
+ ylab="beta",
+ useRaster=TRUE,
+ col = topo.colors(100))
+}
+
+
+########################################################################################
+#### MODEL FITTING & VISUALIZATION II
+########################################################################################
+
+### GeneralAccuracy
+m1.g = gam(GeneralAccuracy ~ s(alpha) + s(beta), data=data)
+summary(m1)
+
+m2.g = gam(GeneralAccuracy ~ s(alpha) + s(beta) + ti(alpha, beta), data=data)
+summary(m2.g)
+
+compareML(m1.g, m2.g)
+#m1 preferred
+
+vis.gam(m1.g, plot.type="contour", color="topo", main="GeneralAccuracy")
+
+
+
+
+### WordAccuracy
+m1.w = gam(WordAccuracy ~ s(alpha) + s(beta), data=data)
+summary(m1.w)
+
+m2.w = gam(WordAccuracy ~ s(alpha) + s(beta) + ti(alpha, beta), data=data)
+summary(m2.w)
+
+compareML(m1.w, m2.w)
+#m1 preferred
+
+vis.gam(m1.w, plot.type="contour", color="topo", main="WordAccuracy")
+
+
+
+### NonwordAccuracy
+m1.n = gam(NonwordAccuracy ~ s(alpha) + s(beta), data=data)
+summary(m1.n)
+
+m2.n = gam(NonwordAccuracy ~ s(alpha) + s(beta) + ti(alpha, beta), data=data)
+summary(m2.n)
+
+compareML(m1.n, m2.n)
+#m1 preferred
+
+vis.gam(m1.n, plot.type="contour", color="topo", main="NonwordAccuracy")
+
+
+### NumWordsLearned
+m1.l = gam(NumWordsLearned ~ s(alpha) + s(beta), data=data)
+summary(m1.l)
+
+m2.l = gam(NumWordsLearned ~ s(beta), data=data)
+summary(m2.l)
+
+compareML(m1.l, m2.l)
+#m2 preferred
+
+m3.l = gam(NumWordsLearned ~ te(alpha, beta), data=data)
+summary(m3.l)
+
+compareML(m2.l, m3.l)
+#m2 preferred
+
+vis.gam(m1.l, plot.type="contour", color="topo", main="NumWordsLearned")
+#note: this plot shows a model which is not justified because m2 is preferred.
+#it still is interesting, though.
+
+#explains the rather strange gam fit
+hist(data$NumWordsLearned, main="Histogram of NumWordsLearned",
+ xlab="NumWordsLearned")
+
+
+### model criticism
+qqnorm(m1.g$residuals)
+qqnorm(m1.w$residuals)
+qqnorm(m1.n$residuals)
+# mostly ok
+
+acf(resid(m1.g))
+acf(resid(m1.w))
+acf(resid(m1.n))
+# ok
+
+
+########################################################################################
+#### OTHER ANALYSIS SNIPPETS
+########################################################################################
+
+
+
+#0. preprocessing
+monkeydat$GeneralAccuracy = as.numeric(monkeydat$GeneralAccuracy)
+monkeydat$WordAccuracy = as.numeric(monkeydat$WordAccuracy)
+monkeydat$NonwordAccuracy = as.numeric(monkeydat$NonwordAccuracy)
+monkeydat$NumTrials = as.numeric(monkeydat$NumTrials)
+monkeydat$NumWordsLearned = as.numeric(monkeydat$NumWordsLearned)
+monkeydat$NumNonwordsPresented = as.numeric(monkeydat$NumNonwordsPresented)
+
+
+#1. chance level
+chance.level <- r / 2
+chance.level
+
+max.accuracy <- 1-chance.level
+max.accuracy
+
+max(data$GeneralAccuracy)
+max(data$WordAccuracy)
+max(data$NonwordAccuracy)
+
+
+#2. correlations
+#interesting to look at (& to write in the paper):
+cor(data$WordAccuracy, data$NonwordAccuracy)
+cor(monkeydat$WordAccuracy, monkeydat$NonwordAccuracy)
+#why is this correlation so different???
+
+cor(data$GeneralAccuracy, data$NonwordAccuracy)
+cor(monkeydat$GeneralAccuracy, monkeydat$NonwordAccuracy)
+
+cor(data$GeneralAccuracy, data$WordAccuracy)
+cor(monkeydat$GeneralAccuracy, monkeydat$NonwordAccuracy)
+
+
+#3. linear model
+#fitting a linear model:
+m1 = lm(GeneralAccuracy ~ alpha, data=data)
+summary(m1)
+
+m2 = lm(GeneralAccuracy ~ alpha + beta, data=data)
+summary(m2)
+
+anova(m1, m2)
+
+m3 = lm(GeneralAccuracy ~ alpha * beta, data=data)
+summary(m3)
+
+anova(m2, m3)
+
+
+########################################################################################
+#### EXPORT RESULTS TO LaTeX
+########################################################################################
+
+
+data.rounded = data
+data.rounded$alpha = round(data.rounded$alpha, 3)
+data.rounded$beta = round(data.rounded$beta, 3)
+data.rounded$GeneralAccuracy = round(data.rounded$GeneralAccuracy, 2)
+data.rounded$WordAccuracy = round(data.rounded$WordAccuracy, 2)
+data.rounded$NonwordAccuracy = round(data.rounded$NonwordAccuracy, 2)
+rownames(data.rounded) = NULL
+colnames(data.rounded)[3] = "#Trials"
+colnames(data.rounded)[4] = "#LearnedW"
+colnames(data.rounded)[5] = "#PresW"
+colnames(data.rounded)[6] = "GenAcc"
+colnames(data.rounded)[7] = "WAcc"
+colnames(data.rounded)[8] = "NWAcc"
+View(data.rounded)
+
+xtable(data.rounded[1:40, ])
+xtable(data.rounded[41:80, ])
+xtable(data.rounded[81:120, ])
+
+# EOF
+
+
+\end{lstlisting}
+\newpage
\ No newline at end of file
diff --git a/07_final_assignment/paper/main.bcf b/07_final_assignment/paper/main.bcf
new file mode 100644
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diff --git a/07_final_assignment/paper/main.run.xml b/07_final_assignment/paper/main.run.xml
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diff --git a/07_final_assignment/paper/main.tex b/07_final_assignment/paper/main.tex
new file mode 100644
index 0000000..c0cad0a
--- /dev/null
+++ b/07_final_assignment/paper/main.tex
@@ -0,0 +1,87 @@
+\documentclass[a4paper, 12pt]{apa6}
+\usepackage[T1]{fontenc}
+\usepackage[utf8]{inputenc}
+\usepackage[american]{babel}
+\usepackage[style=apa,sortcites=true,sorting=nyt,backend=biber]{biblatex}
+\DeclareLanguageMapping{american}{american-apa}
+\addbibresource{references.bib}
+\usepackage{listings}
+\title{Simulation of Grainger et al. (2012) with Rescorla Wagner equations}
+\shorttitle{Grainger et al. (2012) simulation with RW equations}
+\author{Robert Geirhos (3827808), Klara Grethen (3899962), \\David-Elias Künstle (3822829), Felicia Saar (3818590)}
+\affiliation{Linguistics for Cognitive Science Course, University of Tübingen}
+
+\abstract{our abstract goes here!}
+
+
+\begin{document}
+\maketitle
+
+%\cite{}
+\section{Introduction}
+statement of the problem
+
+\section{Simulations}
+\subsection{Experimental Code}
+why we didn't use the given code, what we improved, how the result is structured - Goal: modular and comprehensive experiment. Problems with paper and given code. What's a block in our experiment.\\
+Since preliminary experiments showed that the monkeys performed with very high accuracies (>90\%), we decided to introduce a random parameter $ r $ in the experiment, defined as the fraction of times the monkey would make a random guess instead of an experience-based prediction.
+
+\subsection{Choice of Parameters}
+\subsubsection{Number of Trials}
+The six monkeys in the original experiment participated in a different number of trials (min: 43.041, max: 61.142, mean: 52.812). For the sake of simplicity, we presented exactly 50.000 trials in each of our experiments.
+\subsubsection{Random Parameter} The random parameter $ r $ was set to 0.65, which proved to be reasonable value. That means, in 65\% of the cases the monkey would guess for either word or nonword with equal probabilities. Therefore, the maximum possible performance $ p_{max} $ is:
+$$ p_{max} = 1 - \frac{r}{2} = 0.675$$
+In other words, the maximum possible performance is no longer 1.0 (for a very intelligent monkey) but rather restricted by $ r $. If a monkey's performance is slightly better than $ p_{max} $, this is assured to be due to chance.
+\subsubsection{Alpha and Beta} Both $ \alpha $ and $ \beta $ were our independent variables which we manipulated over the course of the experiments. We gathered data for every possible combination of $ \alpha $ and $ \beta $ values within an equally spaced range from 0.0 to 0.3. A total of 15 values for each $ \alpha $ and $ \beta $ were combined to $ 15*15 = 225 $ possible combinations. Since $ \alpha $ and $ \beta $ were internally multiplied to a single value, we expected the outcome to be symmetrical due to the commutativity of the multiplication operation and therefore calculated each combination of $ \alpha $ and $ \beta $ only once, which we used as a trick to improve the overall runtime. Therefore, $\sum_{i=1}^{15}i = 120$ combinations remained to be explored.
+
+\subsubsection{Lambda} Choice of $ \lambda $
+%TODO explain choice of lambda=1, saliency
+
+\subsection{Running Parallelized Experiments}
+Running an experiment with a single combination of $ \alpha $ and $ \beta $ on a normal desktop computer took about 75 minutes. Therefore, the parameter space one could explore within a reasonable amount of time was quite restricted. We decided to write a parallelized version of the code to reduce the overall runtime. Using the R packages foreach, parallel and doParallel (TODO: Cite them properly), we restructured the experiment. Since conflicts can easily occur when more than one core is trying to access a shared data structure at the same time, we implemented a parallelized version that is able to run without even containing critical sections. Instead, each thread has its own data structure, a .txt file, and in the end the results are harvested and combined. This version of the experiment ran on a cluster with 15 cores, each performing a total amount of eight experiments. Altogether, 120 combinations of $ \alpha $ and $ \beta $ were explored overnight, which would have taken about 150 hours in a non-parallelized version.
+
+\section{Results}
+results
+
+\begin{figure*}
+\includegraphics[width=0.9\textwidth]{plots/plot_accuracy}
+\end{figure*}
+
+\begin{figure*}
+\includegraphics[width=0.9\textwidth]{plots/plot_numwords}
+\end{figure*}
+
+
+\section{Discussion}
+"your conclusions about what is most likely to underlie the different success rates of the baboons"
+
+
+\appendix
+\section{Complete Results}
+Here are the complete results of our experiments. The abbreviations used are:
+\begin{APAitemize}
+\item \#Trials: Number of trials
+\item \#LearnedW: Number of learned words
+\item \#PresW: Number of presented words
+\item GenAcc: General accuracy
+\item WAcc: Word accuracy
+\item NWAcc: Nonword accuracy
+\end{APAitemize}
+
+\onecolumn
+\input{result_tables.tex}
+
+
+
+\section{Code}
+\input{code.tex}
+
+
+\printbibliography{}
+
+
+\end{document}
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: t
+%%% End:
diff --git a/07_final_assignment/paper/references.bib b/07_final_assignment/paper/references.bib
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/07_final_assignment/paper/references.bib
diff --git a/07_final_assignment/paper/result_tables.tex b/07_final_assignment/paper/result_tables.tex
new file mode 100644
index 0000000..4db1312
--- /dev/null
+++ b/07_final_assignment/paper/result_tables.tex
@@ -0,0 +1,155 @@
+% latex table generated in R 3.1.0 by xtable 1.8-2 package
+% Thu Mar 31 15:21:52 2016
+\begin{table}[ht]
+\centering
+\begin{tabular}{rrrrrrrrr}
+ \hline
+ & alpha & beta & \#Trials & \#LearnedW & \#PresW & GenAcc & WAcc & NWAcc \\
+ \hline
+1 & 0.00 & 0.00 & 50000 & 307 & 7539 & 0.60 & 0.66 & 0.55 \\
+ 2 & 0.02 & 0.00 & 50000 & 307 & 7518 & 0.60 & 0.64 & 0.57 \\
+ 3 & 0.02 & 0.02 & 50000 & 307 & 7502 & 0.62 & 0.65 & 0.60 \\
+ 4 & 0.04 & 0.00 & 50000 & 306 & 7479 & 0.61 & 0.65 & 0.57 \\
+ 5 & 0.04 & 0.02 & 50000 & 306 & 7522 & 0.63 & 0.65 & 0.61 \\
+ 6 & 0.04 & 0.04 & 50000 & 301 & 7532 & 0.64 & 0.65 & 0.62 \\
+ 7 & 0.06 & 0.00 & 50000 & 307 & 7490 & 0.61 & 0.65 & 0.57 \\
+ 8 & 0.06 & 0.02 & 50000 & 307 & 7499 & 0.63 & 0.64 & 0.62 \\
+ 9 & 0.06 & 0.04 & 50000 & 307 & 7530 & 0.65 & 0.66 & 0.64 \\
+ 10 & 0.06 & 0.06 & 50000 & 292 & 7512 & 0.65 & 0.65 & 0.66 \\
+ 11 & 0.09 & 0.00 & 50000 & 289 & 7534 & 0.62 & 0.65 & 0.59 \\
+ 12 & 0.09 & 0.02 & 50000 & 297 & 7524 & 0.64 & 0.65 & 0.63 \\
+ 13 & 0.09 & 0.04 & 50000 & 306 & 7548 & 0.65 & 0.66 & 0.64 \\
+ 14 & 0.09 & 0.06 & 50000 & 307 & 7491 & 0.66 & 0.66 & 0.65 \\
+ 15 & 0.09 & 0.09 & 50000 & 307 & 7503 & 0.66 & 0.67 & 0.65 \\
+ 16 & 0.11 & 0.00 & 50000 & 307 & 7540 & 0.60 & 0.65 & 0.55 \\
+ 17 & 0.11 & 0.02 & 50000 & 307 & 7509 & 0.64 & 0.64 & 0.64 \\
+ 18 & 0.11 & 0.04 & 50000 & 298 & 7518 & 0.65 & 0.65 & 0.65 \\
+ 19 & 0.11 & 0.06 & 50000 & 307 & 7503 & 0.65 & 0.66 & 0.65 \\
+ 20 & 0.11 & 0.09 & 50000 & 307 & 7502 & 0.66 & 0.66 & 0.65 \\
+ 21 & 0.11 & 0.11 & 50000 & 307 & 7549 & 0.66 & 0.67 & 0.66 \\
+ 22 & 0.13 & 0.00 & 50000 & 300 & 7509 & 0.62 & 0.65 & 0.59 \\
+ 23 & 0.13 & 0.02 & 50000 & 307 & 7524 & 0.64 & 0.65 & 0.64 \\
+ 24 & 0.13 & 0.04 & 50000 & 304 & 7516 & 0.65 & 0.66 & 0.65 \\
+ 25 & 0.13 & 0.06 & 50000 & 277 & 7510 & 0.66 & 0.66 & 0.66 \\
+ 26 & 0.13 & 0.09 & 50000 & 307 & 7490 & 0.66 & 0.66 & 0.66 \\
+ 27 & 0.13 & 0.11 & 50000 & 307 & 7526 & 0.67 & 0.67 & 0.66 \\
+ 28 & 0.13 & 0.13 & 50000 & 307 & 7521 & 0.67 & 0.67 & 0.67 \\
+ 29 & 0.15 & 0.00 & 50000 & 298 & 7500 & 0.61 & 0.64 & 0.58 \\
+ 30 & 0.15 & 0.02 & 50000 & 307 & 7461 & 0.65 & 0.66 & 0.64 \\
+ 31 & 0.15 & 0.04 & 50000 & 307 & 7508 & 0.65 & 0.66 & 0.65 \\
+ 32 & 0.15 & 0.06 & 50000 & 297 & 7519 & 0.66 & 0.66 & 0.66 \\
+ 33 & 0.15 & 0.09 & 50000 & 307 & 7502 & 0.67 & 0.67 & 0.66 \\
+ 34 & 0.15 & 0.11 & 50000 & 307 & 7508 & 0.66 & 0.66 & 0.66 \\
+ 35 & 0.15 & 0.13 & 50000 & 307 & 7540 & 0.67 & 0.67 & 0.66 \\
+ 36 & 0.15 & 0.15 & 50000 & 307 & 7528 & 0.66 & 0.67 & 0.66 \\
+ 37 & 0.17 & 0.00 & 50000 & 307 & 7500 & 0.62 & 0.65 & 0.59 \\
+ 38 & 0.17 & 0.02 & 50000 & 294 & 7520 & 0.65 & 0.66 & 0.65 \\
+ 39 & 0.17 & 0.04 & 50000 & 307 & 7504 & 0.66 & 0.66 & 0.65 \\
+ 40 & 0.17 & 0.06 & 50000 & 307 & 7506 & 0.66 & 0.67 & 0.66 \\
+ \hline
+\end{tabular}
+\end{table}
+
+% latex table generated in R 3.1.0 by xtable 1.8-2 package
+% Thu Mar 31 15:22:04 2016
+\begin{table}[ht]
+\centering
+\begin{tabular}{rrrrrrrrr}
+ \hline
+ & alpha & beta & \#Trials & \#LearnedW & \#PresW & GenAcc & WAcc & NWAcc \\
+ \hline
+41 & 0.17 & 0.09 & 50000 & 303 & 7533 & 0.67 & 0.67 & 0.66 \\
+ 42 & 0.17 & 0.11 & 50000 & 307 & 7492 & 0.67 & 0.67 & 0.66 \\
+ 43 & 0.17 & 0.13 & 50000 & 307 & 7522 & 0.66 & 0.67 & 0.66 \\
+ 44 & 0.17 & 0.15 & 50000 & 307 & 7489 & 0.67 & 0.68 & 0.66 \\
+ 45 & 0.17 & 0.17 & 50000 & 307 & 7516 & 0.66 & 0.67 & 0.66 \\
+ 46 & 0.19 & 0.00 & 50000 & 307 & 7526 & 0.62 & 0.65 & 0.59 \\
+ 47 & 0.19 & 0.02 & 50000 & 307 & 7538 & 0.65 & 0.65 & 0.64 \\
+ 48 & 0.19 & 0.04 & 50000 & 307 & 7509 & 0.66 & 0.66 & 0.66 \\
+ 49 & 0.19 & 0.06 & 50000 & 307 & 7526 & 0.66 & 0.67 & 0.66 \\
+ 50 & 0.19 & 0.09 & 50000 & 307 & 7486 & 0.66 & 0.66 & 0.66 \\
+ 51 & 0.19 & 0.11 & 50000 & 307 & 7507 & 0.67 & 0.67 & 0.66 \\
+ 52 & 0.19 & 0.13 & 50000 & 307 & 7539 & 0.67 & 0.67 & 0.66 \\
+ 53 & 0.19 & 0.15 & 50000 & 307 & 7500 & 0.67 & 0.67 & 0.67 \\
+ 54 & 0.19 & 0.17 & 50000 & 307 & 7492 & 0.67 & 0.68 & 0.67 \\
+ 55 & 0.19 & 0.19 & 50000 & 307 & 7522 & 0.67 & 0.67 & 0.67 \\
+ 56 & 0.21 & 0.00 & 50000 & 292 & 7507 & 0.62 & 0.64 & 0.59 \\
+ 57 & 0.21 & 0.02 & 50000 & 307 & 7515 & 0.65 & 0.66 & 0.65 \\
+ 58 & 0.21 & 0.04 & 50000 & 307 & 7519 & 0.66 & 0.67 & 0.66 \\
+ 59 & 0.21 & 0.06 & 50000 & 307 & 7513 & 0.66 & 0.67 & 0.66 \\
+ 60 & 0.21 & 0.09 & 50000 & 299 & 7495 & 0.66 & 0.67 & 0.66 \\
+ 61 & 0.21 & 0.11 & 50000 & 307 & 7519 & 0.67 & 0.67 & 0.66 \\
+ 62 & 0.21 & 0.13 & 50000 & 307 & 7520 & 0.67 & 0.67 & 0.67 \\
+ 63 & 0.21 & 0.15 & 50000 & 307 & 7521 & 0.67 & 0.67 & 0.67 \\
+ 64 & 0.21 & 0.17 & 50000 & 307 & 7526 & 0.67 & 0.67 & 0.67 \\
+ 65 & 0.21 & 0.19 & 50000 & 307 & 7516 & 0.67 & 0.67 & 0.67 \\
+ 66 & 0.21 & 0.21 & 50000 & 307 & 7502 & 0.67 & 0.68 & 0.67 \\
+ 67 & 0.24 & 0.00 & 50000 & 307 & 7511 & 0.62 & 0.65 & 0.59 \\
+ 68 & 0.24 & 0.02 & 50000 & 307 & 7501 & 0.66 & 0.66 & 0.65 \\
+ 69 & 0.24 & 0.04 & 50000 & 307 & 7517 & 0.66 & 0.67 & 0.65 \\
+ 70 & 0.24 & 0.06 & 50000 & 306 & 7505 & 0.66 & 0.67 & 0.66 \\
+ 71 & 0.24 & 0.09 & 50000 & 307 & 7500 & 0.67 & 0.67 & 0.66 \\
+ 72 & 0.24 & 0.11 & 50000 & 307 & 7515 & 0.67 & 0.67 & 0.67 \\
+ 73 & 0.24 & 0.13 & 50000 & 307 & 7512 & 0.67 & 0.67 & 0.66 \\
+ 74 & 0.24 & 0.15 & 50000 & 307 & 7508 & 0.67 & 0.67 & 0.67 \\
+ 75 & 0.24 & 0.17 & 50000 & 307 & 7507 & 0.67 & 0.68 & 0.67 \\
+ 76 & 0.24 & 0.19 & 50000 & 307 & 7519 & 0.67 & 0.67 & 0.67 \\
+ 77 & 0.24 & 0.21 & 50000 & 307 & 7531 & 0.67 & 0.67 & 0.67 \\
+ 78 & 0.24 & 0.24 & 50000 & 307 & 7518 & 0.67 & 0.67 & 0.68 \\
+ 79 & 0.26 & 0.00 & 50000 & 307 & 7522 & 0.62 & 0.66 & 0.59 \\
+ 80 & 0.26 & 0.02 & 50000 & 298 & 7493 & 0.65 & 0.65 & 0.65 \\
+ \hline
+\end{tabular}
+\end{table}
+
+% latex table generated in R 3.1.0 by xtable 1.8-2 package
+% Thu Mar 31 15:22:19 2016
+\begin{table}[ht]
+\centering
+\begin{tabular}{rrrrrrrrr}
+ \hline
+ & alpha & beta & \#Trials & \#LearnedW & \#PresW & GenAcc & WAcc & NWAcc \\
+ \hline
+81 & 0.26 & 0.04 & 50000 & 307 & 7517 & 0.66 & 0.67 & 0.66 \\
+ 82 & 0.26 & 0.06 & 50000 & 307 & 7480 & 0.67 & 0.67 & 0.66 \\
+ 83 & 0.26 & 0.09 & 50000 & 307 & 7512 & 0.66 & 0.66 & 0.67 \\
+ 84 & 0.26 & 0.11 & 50000 & 307 & 7497 & 0.67 & 0.67 & 0.67 \\
+ 85 & 0.26 & 0.13 & 50000 & 307 & 7521 & 0.67 & 0.68 & 0.67 \\
+ 86 & 0.26 & 0.15 & 50000 & 307 & 7524 & 0.68 & 0.68 & 0.67 \\
+ 87 & 0.26 & 0.17 & 50000 & 307 & 7516 & 0.67 & 0.67 & 0.66 \\
+ 88 & 0.26 & 0.19 & 50000 & 307 & 7486 & 0.67 & 0.67 & 0.67 \\
+ 89 & 0.26 & 0.21 & 50000 & 307 & 7505 & 0.67 & 0.67 & 0.67 \\
+ 90 & 0.26 & 0.24 & 50000 & 307 & 7512 & 0.67 & 0.67 & 0.67 \\
+ 91 & 0.26 & 0.26 & 50000 & 307 & 7525 & 0.67 & 0.68 & 0.67 \\
+ 92 & 0.28 & 0.00 & 50000 & 295 & 7508 & 0.62 & 0.65 & 0.58 \\
+ 93 & 0.28 & 0.02 & 50000 & 307 & 7498 & 0.65 & 0.66 & 0.65 \\
+ 94 & 0.28 & 0.04 & 50000 & 306 & 7535 & 0.66 & 0.67 & 0.66 \\
+ 95 & 0.28 & 0.06 & 50000 & 307 & 7501 & 0.66 & 0.67 & 0.66 \\
+ 96 & 0.28 & 0.09 & 50000 & 307 & 7513 & 0.67 & 0.67 & 0.66 \\
+ 97 & 0.28 & 0.11 & 50000 & 307 & 7507 & 0.67 & 0.67 & 0.67 \\
+ 98 & 0.28 & 0.13 & 50000 & 307 & 7523 & 0.67 & 0.67 & 0.67 \\
+ 99 & 0.28 & 0.15 & 50000 & 307 & 7496 & 0.67 & 0.67 & 0.67 \\
+ 100 & 0.28 & 0.17 & 50000 & 307 & 7520 & 0.67 & 0.67 & 0.67 \\
+ 101 & 0.28 & 0.19 & 50000 & 306 & 7516 & 0.67 & 0.67 & 0.67 \\
+ 102 & 0.28 & 0.21 & 50000 & 307 & 7483 & 0.67 & 0.67 & 0.68 \\
+ 103 & 0.28 & 0.24 & 50000 & 302 & 7518 & 0.67 & 0.67 & 0.67 \\
+ 104 & 0.28 & 0.26 & 50000 & 307 & 7518 & 0.68 & 0.68 & 0.67 \\
+ 105 & 0.28 & 0.28 & 50000 & 307 & 7507 & 0.68 & 0.68 & 0.68 \\
+ 106 & 0.30 & 0.00 & 50000 & 300 & 7530 & 0.61 & 0.64 & 0.58 \\
+ 107 & 0.30 & 0.02 & 50000 & 298 & 7533 & 0.65 & 0.66 & 0.65 \\
+ 108 & 0.30 & 0.04 & 50000 & 307 & 7514 & 0.66 & 0.66 & 0.66 \\
+ 109 & 0.30 & 0.06 & 50000 & 307 & 7519 & 0.66 & 0.67 & 0.65 \\
+ 110 & 0.30 & 0.09 & 50000 & 307 & 7516 & 0.67 & 0.67 & 0.67 \\
+ 111 & 0.30 & 0.11 & 50000 & 307 & 7508 & 0.67 & 0.68 & 0.66 \\
+ 112 & 0.30 & 0.13 & 50000 & 307 & 7495 & 0.67 & 0.67 & 0.67 \\
+ 113 & 0.30 & 0.15 & 50000 & 307 & 7501 & 0.68 & 0.68 & 0.68 \\
+ 114 & 0.30 & 0.17 & 50000 & 307 & 7520 & 0.67 & 0.67 & 0.67 \\
+ 115 & 0.30 & 0.19 & 50000 & 307 & 7479 & 0.67 & 0.67 & 0.68 \\
+ 116 & 0.30 & 0.21 & 50000 & 307 & 7502 & 0.68 & 0.68 & 0.67 \\
+ 117 & 0.30 & 0.24 & 50000 & 307 & 7552 & 0.67 & 0.67 & 0.67 \\
+ 118 & 0.30 & 0.26 & 50000 & 307 & 7502 & 0.67 & 0.67 & 0.67 \\
+ 119 & 0.30 & 0.28 & 50000 & 307 & 7520 & 0.68 & 0.68 & 0.68 \\
+ 120 & 0.30 & 0.30 & 50000 & 307 & 7545 & 0.67 & 0.67 & 0.67 \\
+ \hline
+\end{tabular}
+\end{table}
\ No newline at end of file