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- - - - - - - - - - - - - - - - - - - - - - - -]> - - - latex - - main.bcf - - - main.bbl - - - blx-dm.def - apa.dbx - blx-compat.def - biblatex_.def - apa.bbx - standard.bbx - apa.cbx - biblatex.cfg - american-apa.lbx - american.lbx - english.lbx - - - - biber - - biber - main - - - main.bcf - - - main.bbl - - - main.bbl - - - main.bcf - - - references.bib - - - diff --git a/07_final_assignment/tex/main.tex b/07_final_assignment/tex/main.tex deleted file mode 100644 index c0cad0a..0000000 --- a/07_final_assignment/tex/main.tex +++ /dev/null @@ -1,87 +0,0 @@ -\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/tex/references.bib b/07_final_assignment/tex/references.bib deleted file mode 100644 index e69de29..0000000 --- a/07_final_assignment/tex/references.bib +++ /dev/null diff --git a/07_final_assignment/tex/result_tables.tex b/07_final_assignment/tex/result_tables.tex deleted file mode 100644 index 4db1312..0000000 --- a/07_final_assignment/tex/result_tables.tex +++ /dev/null @@ -1,155 +0,0 @@ -% 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