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00:00:00 2001 From: Jan Benda Date: Tue, 10 Jan 2017 09:37:50 +0100 Subject: [PATCH 2/7] added note for random walk in decision making --- programming/lecture/programming-chapter.tex | 1 + 1 file changed, 1 insertion(+) diff --git a/programming/lecture/programming-chapter.tex b/programming/lecture/programming-chapter.tex index 6b04454..3c29691 100644 --- a/programming/lecture/programming-chapter.tex +++ b/programming/lecture/programming-chapter.tex @@ -26,6 +26,7 @@ \item Matrizen erstmal 2-D und nur kurz n-D \item Zusammenfassung von Fehlermeldungen bezueglich Matrizen und Vektoren \item Random-walk behutsam mit einer Schleife, dann zwei Schleifen. Plus Bildchen. +\item Random-Walk with drift is model for decision making! See resoures/GoldShadlen2007 paper, Figure 2. Das wird auch in Systems Neurosciene \texttt{9 - Kognitive Kontrolle II.pdf} behandelt. \item Doppelte for-Schleife \item File output and input (load, save, fprintf, scanf) (extra chapter?) \item help() und doc() From 0be859ff528cc5b1d03460f1e46615e6aac32444 Mon Sep 17 00:00:00 2001 From: Jan Benda Date: Tue, 10 Jan 2017 10:33:09 +0100 Subject: [PATCH 3/7] added script for first passage time of random walker --- .../exercises/randomwalkfirstpassagetime.py | 34 +++++++++++++++++++ 1 file changed, 34 insertions(+) create mode 100644 statistics/exercises/randomwalkfirstpassagetime.py diff --git a/statistics/exercises/randomwalkfirstpassagetime.py b/statistics/exercises/randomwalkfirstpassagetime.py new file mode 100644 index 0000000..6af6c76 --- /dev/null +++ b/statistics/exercises/randomwalkfirstpassagetime.py @@ -0,0 +1,34 @@ +import numpy as np +import matplotlib.pyplot as plt + +# first passage time of random walker +# the average of the first passage time grows +# the more experiments you average (n) +# eventually diverges to infinity +# see https://www.math.ucdavis.edu/~tracy/courses/math135A/UsefullCourseMaterial/firstPassage.pdf last paragraph + +p = 0.5 +thresh = 1.0 +rep = 1 +rn = 10000 +n = 2 +meantimes = np.zeros(rep) +for i in range(rep): + times = np.zeros(n) + for k in range(n): + xx = 0.0 + xxinx = 0 + while True: + r = np.random.rand(rn) + x = np.zeros(len(r)) + x[r < p] = 1.0 + x[r >= p]= -1.0 + y = xx + np.cumsum(x) + inx = np.where(y > thresh)[0] + if len(inx) > 0: + times[k] = xxinx + inx[0] + break + xx = y[-1] + xxinx += len(x) + meantimes[i] = np.mean(times) +print np.mean(meantimes) From 9eb7fdf94ada2bc19626373f5952f7e951feab38 Mon Sep 17 00:00:00 2001 From: Jan Benda Date: Mon, 16 Jan 2017 18:49:22 +0100 Subject: [PATCH 4/7] improved bootstrap exercise --- .../exercises/bootstraptymus-datahist.pdf | 16 ++++---- .../exercises/bootstraptymus-meanhist.pdf | Bin 3514 -> 3533 bytes .../exercises/bootstraptymus-samples.pdf | Bin 4126 -> 4144 bytes bootstrap/exercises/correlationsignificance.m | 6 +-- .../exercises/correlationsignificance.pdf | Bin 59521 -> 59661 bytes bootstrap/exercises/exercises01.tex | 18 +++++++-- bootstrap/exercises/instructions.tex | 35 ------------------ bootstrap/exercises/tdistribution-n03.pdf | Bin 9871 -> 9837 bytes bootstrap/exercises/tdistribution-n05.pdf | Bin 9516 -> 9493 bytes bootstrap/exercises/tdistribution-n10.pdf | Bin 9052 -> 9050 bytes bootstrap/exercises/tdistribution-n50.pdf | Bin 8349 -> 7869 bytes 11 files changed, 25 insertions(+), 50 deletions(-) diff --git a/bootstrap/exercises/bootstraptymus-datahist.pdf b/bootstrap/exercises/bootstraptymus-datahist.pdf index 4cc71ac..8b64edc 100644 --- a/bootstrap/exercises/bootstraptymus-datahist.pdf +++ b/bootstrap/exercises/bootstraptymus-datahist.pdf @@ -52,10 +52,10 @@ endobj - -Artifex Ghostscript 8.54 PDF Writer - -/tmp/tpd0b45dc9_ff5a_4aa8_90bd_50aa8e8237b6.ps + +Artifex Ghostscript 8.54 PDF Writer + 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.../lecture/beamercolorthemetuebingen.sty | 61 ++ bootstrap/lecture/bootstrap-slides.tex | 110 ++++ slides.mk | 15 + 5 files changed, 722 insertions(+), 4 deletions(-) create mode 100644 bootstrap/lecture/UT_WBMW_Rot_RGB.pdf create mode 100644 bootstrap/lecture/beamercolorthemetuebingen.sty create mode 100644 bootstrap/lecture/bootstrap-slides.tex create mode 100644 slides.mk diff --git a/bootstrap/lecture/Makefile b/bootstrap/lecture/Makefile index 3f9c4f6..a928992 100644 --- a/bootstrap/lecture/Makefile +++ b/bootstrap/lecture/Makefile @@ -4,10 +4,13 @@ all : pdf include ../../chapter.mk -# script: -pdf : chapter +include ../../slides.mk -clean : cleanchapter +# script and slides: +pdf : chapter slides + +clean : cleanchapter cleanslides + +cleanall : clean cleanallchapter cleanallslides -cleanall : clean cleanchapter diff --git a/bootstrap/lecture/UT_WBMW_Rot_RGB.pdf b/bootstrap/lecture/UT_WBMW_Rot_RGB.pdf new file mode 100644 index 0000000..f54eedc --- /dev/null +++ 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\ an׳Q7\Řf +ne9M@(8t G*-IYǘuG.\NDmXK;Fi~=nb )L%q5i?NGjju=RX,fb>|Wibz("N3:Kb#t#1u+Gq#(An D +1(UK1I52h@ji*7ʆ_HIE"z`!j HN?ÍQa>d t"n':"ЪKyAb eN'"1l$^k(! f"īƈMRVWw@>MI [CY.҇I]9,EH^AC* )]Wc&܍,xZRHo$u$Gż&!rZ w`BX(ﰧ2{kJppv}uZCW/ $[ +D 0|/ο}]\~u~{7\t϶Gcx?޾Ģg}9~G;xyxxow??i'FZ~v껯 0i endstream endobj 15 0 obj <> endobj 18 0 obj <> endobj 21 0 obj <> endobj 25 0 obj <> endobj 26 0 obj [/View/Design] endobj 27 0 obj <>>> endobj 22 0 obj [/View/Design] endobj 23 0 obj <>>> endobj 19 0 obj [/View/Design] endobj 20 0 obj <>>> endobj 16 0 obj [/View/Design] endobj 17 0 obj <>>> endobj 39 0 obj [38 0 R 37 0 R 36 0 R 35 0 R] endobj 61 0 obj <> endobj xref 0 62 0000000003 65535 f +0000000016 00000 n +0000021147 00000 n +0000000004 00000 f +0000000005 00000 f +0000000013 00000 f +0000000000 00000 f +0000000000 00000 f +0000000000 00000 f +0000000000 00000 f +0000000000 00000 f +0000000000 00000 f +0000000000 00000 f +0000000000 00000 f +0000000000 00000 f +0000117691 00000 n +0000118341 00000 n 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diff --git a/bootstrap/lecture/beamercolorthemetuebingen.sty b/bootstrap/lecture/beamercolorthemetuebingen.sty new file mode 100644 index 0000000..c4a5da6 --- /dev/null +++ b/bootstrap/lecture/beamercolorthemetuebingen.sty @@ -0,0 +1,61 @@ +% Copyright 2007 by Till Tantau +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% +% See the file doc/licenses/LICENSE for more details. + +\usepackage{color} +\definecolor{karminrot}{RGB}{165,30,55} +\definecolor{gold}{RGB}{180,160,105} +\definecolor{anthrazit}{RGB}{50 ,65 ,75 } + +\mode + +\setbeamercolor*{normal text}{fg=anthrazit,bg=white} +\setbeamercolor*{alerted text}{fg=anthrazit} +\setbeamercolor*{example text}{fg=anthrazit} +\setbeamercolor*{structure}{fg=gold,bg=karminrot} + +\providecommand*{\beamer@bftext@only}{% + \relax + \ifmmode + \expandafter\beamer@bftext@warning + \else + \expandafter\bfseries + \fi +} +\providecommand*{\beamer@bftext@warning}{% + \ClassWarning{beamer} + {Cannot use bold for alerted text in math mode}% +} + +\setbeamerfont{alerted text}{series=\beamer@bftext@only} + +\setbeamercolor{palette primary}{fg=karminrot,bg=white} +\setbeamercolor{palette secondary}{fg=gold,bg=white} +\setbeamercolor{palette tertiary}{fg=anthrazit,bg=white} +\setbeamercolor{palette quaternary}{fg=black,bg=white} + +\setbeamercolor{sidebar}{bg=karminrot!100} + +\setbeamercolor{palette sidebar primary}{fg=karminrot} +\setbeamercolor{palette sidebar secondary}{fg=karminrot} +\setbeamercolor{palette sidebar tertiary}{fg=karminrot} +\setbeamercolor{palette sidebar quaternary}{fg=karminrot} + +\setbeamercolor{item projected}{fg=black,bg=black!20} + +\setbeamercolor*{block body}{} +\setbeamercolor*{block body alerted}{} +\setbeamercolor*{block body example}{} +\setbeamercolor*{block title}{parent=structure} +\setbeamercolor*{block title alerted}{parent=alerted text} +\setbeamercolor*{block title example}{parent=example text} + +\setbeamercolor*{titlelike}{parent=structure} + +\mode + diff --git a/bootstrap/lecture/bootstrap-slides.tex b/bootstrap/lecture/bootstrap-slides.tex new file mode 100644 index 0000000..fbe540c --- /dev/null +++ b/bootstrap/lecture/bootstrap-slides.tex @@ -0,0 +1,110 @@ +\documentclass{beamer} + +%%%%% title %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\title[]{Scientific Computing --- Bootstrap methods} +\author[]{Jan Benda} +\institute[]{Neuroethology} +\date[]{WS 16/17} +\titlegraphic{\includegraphics[width=0.3\textwidth]{UT_WBMW_Rot_RGB}} + +%%%%% beamer %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\mode +{ + \usetheme{Singapore} + \setbeamercovered{opaque} + \usecolortheme{tuebingen} + \setbeamertemplate{navigation symbols}{} + \usefonttheme{default} + \useoutertheme{infolines} + % \useoutertheme{miniframes} +} + +%\AtBeginSection[] +%{ +% \begin{frame} +% \begin{center} +% \Huge \insertsectionhead +% \end{center} +% \end{frame} +%} + +\setbeamertemplate{blocks}[rounded][shadow=true] +\setcounter{tocdepth}{1} + +%%%%% packages %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\usepackage[english]{babel} +\usepackage{amsmath} +\usepackage{bm} +\usepackage{pslatex} % nice font for pdf file +%\usepackage{multimedia} + +\usepackage{dsfont} +\newcommand{\naZ}{\mathds{N}} +\newcommand{\gaZ}{\mathds{Z}} +\newcommand{\raZ}{\mathds{Q}} +\newcommand{\reZ}{\mathds{R}} +\newcommand{\reZp}{\mathds{R^+}} +\newcommand{\reZpN}{\mathds{R^+_0}} +\newcommand{\koZ}{\mathds{C}} + +%%%% graphics %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\usepackage{graphicx} +\newcommand{\texpicture}[1]{{\sffamily\small\input{#1.tex}}} + +%%%%% listings %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\usepackage{listings} +\lstset{ + basicstyle=\ttfamily, + numbers=left, + showstringspaces=false, + language=Matlab, + commentstyle=\itshape\color{darkgray}, + keywordstyle=\color{blue}, + stringstyle=\color{green}, + backgroundcolor=\color{blue!10}, + breaklines=true, + breakautoindent=true, + columns=flexible, + frame=single, + captionpos=b, + xleftmargin=1em, + xrightmargin=1em, + aboveskip=10pt + } + +\graphicspath{{figures/}} + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{document} + +\begin{frame}[plain] + \frametitle{} + \vspace{-1cm} + \titlepage % erzeugt Titelseite +\end{frame} + +\subsection{Bootstrap distribution} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame} + \frametitle{Sampling distribution} + \includegraphics[width=1\textwidth]{srs1} +\end{frame} + +\begin{frame} + \frametitle{Theoretical sampling distribution} + \includegraphics[width=1\textwidth]{srs2} +\end{frame} + +\begin{frame} + \frametitle{Bootstrap distribution} + \includegraphics[width=1\textwidth]{srs3}\\[1ex] + \begin{itemize} + \item Resampling with replacement. + \item Size of resample equals size of original sample. + \end{itemize} +\end{frame} + +\end{document} + diff --git a/slides.mk b/slides.mk new file mode 100644 index 0000000..90e562a --- /dev/null +++ b/slides.mk @@ -0,0 +1,15 @@ +# slides: +slides : $(BASENAME)-slides.pdf + +$(BASENAME)-slides.pdf : $(BASENAME)-slides.tex $(PYPDFFILES) $(GPTTEXFILES) + pdflatex -interaction=scrollmode $< | tee /dev/stderr | fgrep -q "Rerun to get cross-references right" && pdflatex -interaction=scrollmode $< || true + +watchslides : + while true; do ! make -q slides && make slides; sleep 0.5; done + +cleanslides : + rm -f *~ + rm -f $(BASENAME)-slides.aux $(BASENAME)-slides.log $(BASENAME)-slides.out $(BASENAME)-slides.idx + +cleanallslides : cleanslides + rm -f $(BASENAME)-slides.pdf From bd055b12e566a479b1493b5d833e9f897d8ee7fd Mon Sep 17 00:00:00 2001 From: Jan Benda Date: Thu, 19 Jan 2017 12:09:00 +0100 Subject: [PATCH 6/7] fixed factorial exercises --- programming/exercises/factorialscriptb.m | 2 +- programming/exercises/myfactorial.m | 2 +- programming/exercises/printfactorial.m | 4 ++-- 3 files changed, 4 insertions(+), 4 deletions(-) diff --git a/programming/exercises/factorialscriptb.m b/programming/exercises/factorialscriptb.m index 8488431..e0ce3bb 100644 --- a/programming/exercises/factorialscriptb.m +++ b/programming/exercises/factorialscriptb.m @@ -1 +1 @@ -printfaculty(5); +printfactorial(5); diff --git a/programming/exercises/myfactorial.m b/programming/exercises/myfactorial.m index 2c5668c..a0fff9a 100644 --- a/programming/exercises/myfactorial.m +++ b/programming/exercises/myfactorial.m @@ -1,4 +1,4 @@ -function x = mufactorial(n) +function x = myfactorial(n) % return the factorial of n x = 1; for i = 1:n diff --git a/programming/exercises/printfactorial.m b/programming/exercises/printfactorial.m index 5df0c28..5692c8f 100644 --- a/programming/exercises/printfactorial.m +++ b/programming/exercises/printfactorial.m @@ -1,5 +1,5 @@ -function printfaculty(n) -% compute the faculty of n and print it +function printfactorial(n) +% compute the factorial of n and print it x = 1; for i = 1:n x = x * i; From 52b7d3971222c5fdabb1a10b46954b0741e4794b Mon Sep 17 00:00:00 2001 From: Jan Benda Date: Fri, 20 Jan 2017 18:55:35 +0100 Subject: [PATCH 7/7] added solution for fano time project --- ...ngInferencesFromFanoFactorCalculations.pdf | Bin 0 -> 315904 bytes .../project_fano_time/solution/counthist.m | 11 +++ .../solution/discriminability.m | 23 ++++++ .../project_fano_time/solution/fanotime.m | 71 ++++++++++++++++++ .../project_fano_time/solution/lifspikes.m | 39 ++++++++++ .../project_fano_time/solution/savefigpdf.m | 28 +++++++ .../project_fano_time/solution/spikeraster.m | 30 ++++++++ 7 files changed, 202 insertions(+) create mode 100644 projects/project_fano_test/EdenKramer2010JNeurosciMeth-DrawingInferencesFromFanoFactorCalculations.pdf create mode 100644 projects/project_fano_time/solution/counthist.m create mode 100644 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false2s, pratio] = discriminability(spikes1, spikes2, tmax, T, cmax) +[c1, b1] = counthist(spikes1, 0.0, tmax, T, cmax); +[c2, b2] = counthist(spikes2, 0.0, tmax, T, cmax); +thresholds = 0:cmax; +true1s = zeros(length(thresholds), 1); +true2s = zeros(length(thresholds), 1); +false1s = zeros(length(thresholds), 1); +false2s = zeros(length(thresholds), 1); +for k = 1:length(thresholds) + th = thresholds(k); + t1 = sum(c1(b1<=th)); + f1 = sum(c1(b1>th)); + t2 = sum(c2(b2>=th)); + f2 = sum(c2(b2= vthresh + v = vreset; + spiketime = i*dt; + times(j) = spiketime; + j = j + 1; + end + end + spikes{k} = times; + end +end diff --git a/projects/project_fano_time/solution/savefigpdf.m b/projects/project_fano_time/solution/savefigpdf.m new file mode 100644 index 0000000..2a11c11 --- /dev/null +++ b/projects/project_fano_time/solution/savefigpdf.m @@ -0,0 +1,28 @@ +function savefigpdf(fig, name, width, height) +% Saves figure fig in pdf file name.pdf with appropriately set page size +% and fonts + +% default width: +if nargin < 3 + width = 11.7; +end +% default height: +if nargin < 4 + height = 9.0; +end + +% paper: +set(fig, 'PaperUnits', 'centimeters'); +set(fig, 'PaperSize', [width height]); +set(fig, 'PaperPosition', [0.0 0.0 width height]); +set(fig, 'Color', 'white') + +% font: +set(findall(fig, 'type', 'axes'), 'FontSize', 12) +set(findall(fig, 'type', 'text'), 'FontSize', 12) + +% save: +saveas(fig, name, 'pdf') + +end + diff --git a/projects/project_fano_time/solution/spikeraster.m b/projects/project_fano_time/solution/spikeraster.m new file mode 100644 index 0000000..4eb1b8b --- /dev/null +++ b/projects/project_fano_time/solution/spikeraster.m @@ -0,0 +1,30 @@ +function spikeraster(spikes, tmin, tmax) +% Display a spike raster of the spike times given in spikes. +% +% spikeraster(spikes, tmax) +% spikes: a cell array of vectors of spike times in seconds +% tmin: plot spike raster starting at tmin seconds +% tmax: plot spike raster upto tmax seconds + +ntrials = length(spikes); +for k = 1:ntrials + times = spikes{k}; + times = times((times>=tmin) & (times<=tmax)); + if tmax < 1.5 + times = 1000.0*times; % conversion to ms + end + for i = 1:length( times ) + line([times(i) times(i)],[k-0.4 k+0.4], 'Color', 'k'); + end +end +if (tmax-tmin) < 1.5 + xlabel('Time [ms]'); + xlim([1000.0*tmin 1000.0*tmax]); +else + xlabel('Time [s]'); + xlim([tmin tmax]); +end +ylabel('Trials'); +ylim([0.3 ntrials+0.7 ]); +end +