presentations/causality-presentation: Added

presentations/causality-presentation/.gitignore

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+## Core latex/pdflatex auxiliary files:
+*.aux
+*.lof
+*.log
+*.lot
+*.fls
+*.out
+*.toc
+
+## Intermediate documents:
+*.dvi
+*-converted-to.*
+# these rules might exclude image files for figures etc.
+# *.ps
+# *.eps
+# *.pdf
+
+## Bibliography auxiliary files (bibtex/biblatex/biber):
+*.bbl
+*.bcf
+*.blg
+*-blx.aux
+*-blx.bib
+*.brf
+*.run.xml
+
+## Build tool auxiliary files:
+*.fdb_latexmk
+*.synctex
+*.synctex.gz
+*.synctex.gz(busy)
+*.pdfsync
+
+## Auxiliary and intermediate files from other packages:
+
+# algorithms
+*.alg
+*.loa
+
+# achemso
+acs-*.bib
+
+# amsthm
+*.thm
+
+# beamer
+*.nav
+*.snm
+*.vrb
+
+#(e)ledmac/(e)ledpar
+*.end
+*.[1-9]
+*.[1-9][0-9]
+*.[1-9][0-9][0-9]
+*.[1-9]R
+*.[1-9][0-9]R
+*.[1-9][0-9][0-9]R
+*.eledsec[1-9]
+*.eledsec[1-9]R
+*.eledsec[1-9][0-9]
+*.eledsec[1-9][0-9]R
+*.eledsec[1-9][0-9][0-9]
+*.eledsec[1-9][0-9][0-9]R
+
+# glossaries
+*.acn
+*.acr
+*.glg
+*.glo
+*.gls
+
+# gnuplottex
+*-gnuplottex-*
+
+# hyperref
+*.brf
+
+# knitr
+*-concordance.tex
+*.tikz
+*-tikzDictionary
+
+# listings
+*.lol
+
+# makeidx
+*.idx
+*.ilg
+*.ind
+*.ist
+
+# minitoc
+*.maf
+*.mtc
+*.mtc0
+
+# minted
+_minted*
+*.pyg
+
+# morewrites
+*.mw
+
+# nomencl
+*.nlo
+
+# sagetex
+*.sagetex.sage
+*.sagetex.py
+*.sagetex.scmd
+
+# sympy
+*.sout
+*.sympy
+sympy-plots-for-*.tex/
+
+# todonotes
+*.tdo
+
+# xindy
+*.xdy
+
+# WinEdt
+*.bak
+*.sav
+.ipynb_checkpoints/

presentations/causality-presentation/Makefile

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+SOURCE = interventions
+
+make:
+	#latexmk -pdf -pdflatex="pdflatex -interactive=nonstopmode" -use-make $(SOURCE).tex
+	pdflatex -shell-escape $(SOURCE).tex -output-format=pdf #shellescape wird fürs logo benötigt
+	pdflatex -shell-escape $(SOURCE).tex -output-format=pdf # nochmaliges ausführen wegen Inhaltsverzeichnissen
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.out *.glo *.glg *.gls *.ist *.xdy *.1 *.toc *.snm *.nav *.vrb *.fls *.fdb_latexmk *.pyg

presentations/causality-presentation/README.md

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+# Interventions
+Dieses Repository ist für einen 30-minütigen Vortrag bei einer Sommerakademie.
+Das Thema lautet "Intervention distribution".
+
+Die kompilierte PDF kann [hier](https://github.com/MartinThoma/causality-presentation/raw/master/interventions.pdf) herutergeladen werden.
+
+
+## Given
+
+* script 2.2. and ex. 3.1.1
+  https://stat.ethz.ch/people/jopeters/index/edit/causalityHomepage/causality_files/scriptChapter1-4.pdf
+* examples: intervention distribution, simpson's paradox
+* Block: Causality
+* Thema: interventions
+* Nr: 11
+* Zeit: 30min
+
+## Plan
+
+* Einleitung: ca. 5 min
+* Interventionsverteilung, def: ca. 2 min
+
+## Fragen
+
+1. Definition 2.2.1: "The set of noise variables in S now contains both ..."
+    - Soll hier wirklich "S" und nicht "\tilde{S}" stehen?
+2. Was heißt "full support"?
+3. A.2: Was ist Q?

presentations/causality-presentation/backup/Makefile

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+SOURCE = interventions
+
+make:
+	#latexmk -pdf -pdflatex="pdflatex -interactive=nonstopmode" -use-make $(SOURCE).tex
+	pdflatex -shell-escape $(SOURCE).tex -output-format=pdf #shellescape wird fürs logo benötigt
+	pdflatex -shell-escape $(SOURCE).tex -output-format=pdf # nochmaliges ausführen wegen Inhaltsverzeichnissen
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.out *.glo *.glg *.gls *.ist *.xdy *.1 *.toc *.snm *.nav *.vrb *.fls *.fdb_latexmk *.pyg

presentations/causality-presentation/backup/end.tex

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+%!TEX root = interventions.tex
+\section{Ende}
+\subsection{Quellen}
+\begin{frame}{Quellen}
+    \begin{itemize}
+        \item \href{https://stat.ethz.ch/people/jopeters/index/edit/causalityHomepage/causality_files/scriptChapter1-4.pdf}{Causality, 2015. Jonas Peters.}
+    \end{itemize}
+\end{frame}
+
+\begin{frame}{Definitionen}
+    \begin{block}{Unabhängigkeit}
+    $X$ und $Y$ sind unabhängig $:\Leftrightarrow p(x, y) = p(x) \cdot p(y) \;\;\;\forall x,y$.
+
+    Man schreibt dann: $X \perp\!\!\!\perp Y$ und andernfalls $X \not\!\perp\!\!\!\perp Y$
+    \end{block}
+
+    \begin{block}{Korrelation}
+        Seien $X$ und $Y$ Zufallsvariablen und
+        \[C(X,Y) := \mathbb{E}((X- \mathbb{E}X) \cdot (Y - \mathbb{E}Y))\]
+        die Kovarianz zwischen $X$ und $Y$. Gilt $C(X, Y) = 0$, so heißen
+        $X$ und $Y$ unkorreliert.
+    \end{block}
+\end{frame}

presentations/causality-presentation/backup/interventions.tex

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+\documentclass{beamer}
+\usetheme{Frankfurt}
+\usecolortheme{beaver}
+\definecolor{links}{HTML}{2A1B81}
+\hypersetup{colorlinks,linkcolor=,urlcolor=links}
+\usepackage{hyperref}
+\usepackage[utf8]{inputenc} % this is needed for german umlauts
+\usepackage[ngerman]{babel} % this is needed for german umlauts
+\usepackage[T1]{fontenc}    % this is needed for correct output of umlauts in pdf
+\usepackage{braket}         % needed for \Set
+\usepackage{csquotes}
+\usepackage{enumitem}
+\setitemize{label=\usebeamerfont*{itemize item}%
+  \usebeamercolor[fg]{itemize item}
+  \usebeamertemplate{itemize item}}
+\usepackage{amsmath, amssymb}
+\usepackage{bm}
+\usepackage{dsfont}
+\usepackage{nicefrac}
+\usefonttheme[onlymath]{serif}
+\usepackage{siunitx}        % this package is for units!
+\sisetup{range-phrase=--, range-units=single}
+
+\usepackage{booktabs}  % for \toprule, \midrule and \bottomrule
+\selectlanguage{ngerman}
+
+\usepackage{tikz}
+\usetikzlibrary{arrows,positioning, calc}
+
+\setbeamertemplate{navigation symbols}{}
+\addtobeamertemplate{navigation symbols}{}{%
+    \usebeamerfont{footline}%
+    \usebeamercolor[fg]{footline}%
+    \hspace{1em}%
+    \insertframenumber/\inserttotalframenumber
+}
+\makeatletter
+\setbeamertemplate{footline}
+{%
+  \pgfuseshading{beamer@barshade}%
+  \ifbeamer@sb@subsection%
+    \vskip-9.75ex%
+  \else%
+    \vskip-7ex%
+  \fi%
+  \begin{beamercolorbox}[ignorebg,ht=2.25ex,dp=3.75ex]{section in head/foot}
+    \insertnavigation{\paperwidth}
+  \end{beamercolorbox}%
+  \ifbeamer@sb@subsection%
+    \begin{beamercolorbox}[ignorebg,ht=2.125ex,dp=1.125ex,%
+      leftskip=.3cm,rightskip=.3cm plus1fil]{subsection in head/foot}
+      \usebeamerfont{subsection in head/foot}\insertsubsectionhead
+    \end{beamercolorbox}%
+  \fi%
+}%
+\setbeamertemplate{headline}{%
+% \hskip1em\usebeamercolor[fg]{navigation symbols dimmed}%
+% \insertslidenavigationsymbol%
+% \insertframenavigationsymbol%
+% \insertsectionnavigationsymbol%
+% \insertsubsectionnavigationsymbol%
+% \insertdocnavigationsymbol%
+% \insertbackfindforwardnavigationsymbol%
+}
+\makeatother
+
+\begin{document}
+
+\title{Interventions}
+% \subtitle{A subtitle}
+\author{Martin Thoma}
+\date{10. August 2015}
+\subject{Causality}
+
+\frame{\titlepage}
+
+% Show table of contents
+% \frame{
+%     \frametitle{Inhalt}
+%     \setcounter{tocdepth}{1}
+%     \tableofcontents
+%     \setcounter{tocdepth}{2}
+% }
+
+%\AtBeginSection[]{
+%    \InsertToC[sections={\thesection}]  % shows only subsubsections of one subsection
+%}
+
+\input{introduction}
+\input{main}
+\input{end}
+\end{document}

presentations/causality-presentation/backup/introduction.tex

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+%!TEX root = interventions.tex
+\section{SEMs}
+\subsection{SEMs}
+\begin{frame}{SEMs}
+    \begin{block}{Structural Equaltion Model (kurz: SEM)}
+        Ein \textit{Strukturgleichungsmodel} ist ein Tupel
+        $\mathcal{S} := (\mathcal{S}, \mathbb{P}^\mathbf{N})$, wobei
+        $\mathcal{S} = (S_1, \dots, S_p)$ ein Tupel aus $p$ Gleichungen
+        \[S_j : X_j = f_j(\mathbf{PA}_j, N_j), \;\;\; j=1, \dots, p\]
+        ist und $\mathbf{PA}_j \subseteq \Set{X_1, \dots, X_p} \setminus \Set{X_j}$
+        die \textit{Eltern von $X_j$} und $\mathbb{P}^\mathbf{N} = \mathbb{P}^{N_1, \dots, N_p}$
+        die gemeinsame Verteilung der Rauschvariablen ist. Diese müssen
+        von einander unabhängig sein, $\mathbb{P}^\mathbf{N}$ muss also eine
+        Produktverteilung sein.
+    \end{block}
+\end{frame}