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Hauptpräsentation ist im Entstehen
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% \setcounter{tocdepth}{2}
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% \setcounter{tocdepth}{2}
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%}
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%}
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\section{Grundlagen}
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\section{Szenario}
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\input{Grundlagen}
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\input{Szenario}
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\section{DYCOS}
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\section{Überblick}
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\input{DYCOS}
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\input{Ueberblick}
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\section{Vokabular}
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\input{Vokabular}
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\section{Sprungtypen}
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\input{Sprungtypen}
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\section{Ende}
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\section{Ende}
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\input{Ende}
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\input{Ende}
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\framedgraphic{Sprungtypen}{../images/graph-content-and-structure.pdf}
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\begin{frame}{Inhaltlicher Mehrfachsprung}
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\begin{itemize}
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\item<1-> \textbf{Struktursprung}: von Strukturknoten $v$ zu Strukturknoten $v'$
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\item<2-> \textbf{Inhaltlicher Mehrfachsprung}: von Strukturknoten $v$ über Wortknoten zu Strukturknoten $v'$
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\end{itemize}
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\end{frame}
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\subsection{Überblick}
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\pgfdeclarelayer{background}
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\pgfsetlayers{background,main}
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\tikzstyle{vertex}=[circle,fill=black!25,minimum size=20pt,inner sep=0pt]
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\tikzstyle{selected vertex} = [vertex, fill=red!24]
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\tikzstyle{blue vertex} = [vertex, fill=blue!24]
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\tikzstyle{edge} = [draw,thick,-]
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\tikzstyle{weight} = [font=\small]
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\tikzstyle{selected edge} = [draw,line width=5pt,-,red!50]
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\tikzstyle{ignored edge} = [draw,line width=5pt,-,black!20]
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\begin{frame}{Random Walk}
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\begin{figure}
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\begin{tikzpicture}[->,scale=1.8, auto,swap]
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% Draw the vertices. First you define a list.
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\foreach \pos/\name/\ltext in {{(0,0)/a/}, {(0,2)/b/b}, {(1,2)/c/},
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{(1,0)/d/}, {(2,1)/e/e}, {(3,1)/f/b},
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{(4,2)/g/a}, {(5,2)/h/a}, {(4,0)/i/a},
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{(5,0)/j/}}
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\node[draw,circle,fill=white] (\name) at \pos {$\ltext$};
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\node[draw,circle,red,fill=red] (e) at (2,1) {$e$};
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% Connect vertices with edges and draw weights
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\foreach \source/ \dest /\pos in {a/b/, b/c/, c/d/, d/a/,
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c/e/bend left, d/e/, e/c/,
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e/f/, f/g/, f/i/,
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g/f/bend right, i/f/bend left,
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g/h/, h/j/, j/i/, i/g/}
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\path (\source) edge [\pos] node {} (\dest);
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\foreach \fr / \number in {1/,
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2/b=1,
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3/b=1\, a=1,
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4/b=1\, a=2,
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5/b=2\, a=2,
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6/b=2\, a=3,
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7/b=2\, a=4
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}
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\node<\fr->[fill=white] (Tlabel) at (2,0) {$\number$};
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% Start animating the edge selection.
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% For convenience we use a background layer to
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% highlight edges. This way we don't have to worry about
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% the highlighting covering weight labels.
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\begin{pgfonlayer}{background}
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\foreach \source / \dest / \fr / \colorf /\pos in {e/f/2/red/,f/g/3/red/,g/h/4/red/, e/f/5/blue/, f/i/6/blue/, i/g/7/blue/,e/c/8/green/,c/d/9/green/, d/a/10/green/}
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\path<\fr->[selected edge, \colorf!20] (\source.center) edge
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[\pos] node {} (\dest.center);
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\end{pgfonlayer}
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\end{tikzpicture}
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\end{figure}
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Klassifizieren des roten Knotens:
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\begin{itemize}
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\item Zählen von Knotenbeschriftungen in Random Walks
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\item 4 Random Walks
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\item 3 Sprünge pro Random Walk
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\item<11> $4 \cdot a$, $2 \cdot b \Rightarrow$ Rot mit $a$ klassifizieren
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\end{itemize}
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\end{frame}
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\begin{frame}{Wortknoten}
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\begin{itemize}
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\item<1-> Neben Struktur können Texte genutzt werden
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\item<2-> Einschränkung: Effizienz!
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\item<3-> Wünschenswert: Wenig weiterer Programmieraufwand
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\item<4-> Idee: Graph erweitern
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\begin{itemize}
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\item<5-> Texte als Wortmengen
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\item<6-> Strukturknoten verweisen auf Wortknoten
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\item<7-> vice versa
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\end{itemize}
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\end{itemize}
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\end{frame}
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\framedgraphic{Erweiterter, bipartiter Graph}{../images/graph-content-and-structure.pdf}
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\subsection{Vokabular}
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\begin{frame}{Vokabular}
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\begin{itemize}
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\item<1-> Viele Texte $\Rightarrow$ Komplette Textanalyse nicht möglich
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\item<2-> Füllwörter: und, oder, im, in, \dots
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\item[$\Rightarrow$]<3-> Beschränkung des Vokabulars sinnvoll
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\end{itemize}
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\uncover<4->{
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\textbf{Idee}:
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\begin{itemize}
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\item<5-> Gini-Koeffizient nutzen
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\item<6-> Zufällige Beispielmenge von Texten für Vokabularbildung betrachten
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\end{itemize}
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}
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\end{frame}
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\begin{frame}{Gini-Koeffizient}
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\begin{itemize}
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\item<1-> statistisches Maß für Ungleichverteilung
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\item<2-> $g = \sum_i p_i^2$ mit $p_i$ als relative Häufigkeit
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\item<3-> $g \in (0, 1]$
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\item<4-> $g$ nahe bei $1$ $\Rightarrow$ Wort kommt selten vor
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\item[$\Rightarrow$]<5-> Nehme Top-$m$ Wörter mit höchstem
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Gini-Koeffizient
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\end{itemize}
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\end{frame}
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