From e03e13a284525af3fc60e1fe9426761175863916 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Sun, 12 Jan 2014 15:19:53 +0100 Subject: [PATCH] Fehler korrigiert; Verlinkung mit cleveref verbessert --- documents/DYCOS/DYCOS-Algorithmus.tex | 53 +++++---- documents/DYCOS/DYCOS.pdf | Bin 468871 -> 470766 bytes documents/DYCOS/DYCOS.tex | 6 +- documents/DYCOS/Sprungtypen.tex | 144 ++++++++++++------------ documents/DYCOS/Vokabularbestimmung.tex | 12 +- documents/DYCOS/abstract.tex | 3 +- documents/DYCOS/literatur.bib | 86 +++++++------- documents/DYCOS/mystyle.sty | 11 +- 8 files changed, 165 insertions(+), 150 deletions(-) diff --git a/documents/DYCOS/DYCOS-Algorithmus.tex b/documents/DYCOS/DYCOS-Algorithmus.tex index 8d58919..56c7d2d 100644 --- a/documents/DYCOS/DYCOS-Algorithmus.tex +++ b/documents/DYCOS/DYCOS-Algorithmus.tex @@ -3,9 +3,9 @@ DYCOS (\underline{DY}namic \underline{C}lassification algorithm with c\underline{O}ntent and \underline{S}tructure) ist ein Knotenklassifizierungsalgorithmus, der Ursprünglich in \cite{aggarwal2011} vorgestellt wurde. Er klassifiziert Knoten, indem mehrfach Random Walks startend -bei dem zu klassifizierenden Knoten gemacht werden und die Labels +bei dem zu klassifizierenden Knoten $v$ gemacht werden und die Labels der besuchten Knoten gezählt werden. Das Label, das am häufigsten -vorgekommen ist, wird als Label gewählt. +vorgekommen ist, wird als Label für $v$ gewählt. DYCOS nutzt also die sog. Homophilie, d.~h. die Eigenschaft, dass Knoten, die nur wenige Hops von einander entfernt sind, häufig auch ähnlich sind \cite{bhagat}. @@ -17,7 +17,7 @@ stehenden Texte. Für diese Erweiterung wird zuerst wird Vokabular $W_t$ bestimmt, das charakteristisch für eine Knotengruppe ist. Wie das gemacht werden kann und warum nicht einfach jedes Wort in das Vokabular aufgenommen wird, -wird in Abschnitt~\ref{sec:vokabularbestimmung} erläutert.\\ +wird in \cref{sec:vokabularbestimmung} erläutert.\\ Nach der Bestimmung des Vokabulars wird für jedes Wort im Vokabular ein Wortknoten zum Graphen hinzugefügt. Alle Knoten, die der Graph zuvor hatte, werden nun \enquote{Strukturknoten} @@ -53,17 +53,21 @@ tatsächlich die Grapherweiterung: Dann heißt das zufällige wechseln des aktuell betrachteten Knoten $v \in V_t$ zu einem benachbartem Knoten $w \in W_t$ - und weiter zu Nachbar von $v' \in V_t$ von $w$ - ein \textbf{inhaltlicher Mehrfachsprung}. $v'$ ist also genau - einen Sprung über einen Wortknoten $w$ von $v$ entfernt. + und weiter zu einem zufälligem Nachbar $v' \in V_t$ von $w$ + ein \textbf{inhaltlicher Mehrfachsprung}. \end{definition} +Jeder inhaltliche Mehrfachsprung beginnt und endet also in einem Strukturknoten, +springt über einen Wortknoten und ist ein Pfad der Länge~2. + +Bevor der DYCOS-Algorithmus im Detail erklärt wird, sei noch auf eine +Besonderheit hingewiesen: Der DYCOS-Algorithmus betrachtet die Texte, die einem Knoten -zugeornet sind, als eine -Multimenge von Wörtern. Das heißt, zum einen wird nicht auf die -Reihenfolge der Wörter geachtet, zum anderen wird bei Texten -eines Knotens nicht zwischen verschiedenen Texten unterschieden. -Jedoch wird die Anzahl der Vorkommen jedes Wortes berücksichtigt. +zugeornet sind, als eine Multimenge von Wörtern. Das heißt, zum einen +wird nicht auf die Reihenfolge der Wörter geachtet, zum anderen wird +bei Texten eines Knotens nicht zwischen verschiedenen +Texten unterschieden. Jedoch wird die Anzahl der Vorkommen +jedes Wortes berücksichtigt. \subsection{Datenstrukturen} Zusätzlich zu dem gerichteten Graphen $G_t = (V_t, E_t, V_{L,t})$ @@ -94,27 +98,32 @@ verwaltet der DYCOS-Algorithmus zwei weitere Datenstrukturen: \subsection{Der Algorithmus} Der DYCOS-Algorithmus verwendet nun für jeden Knoten der gelabelt wird $r$ Random Walks der Länge $l$, wobei mit einer Wahrscheinlichkeit -$p_S$ ein struktureller $l$-Sprung und mit einer Wahrscheinlichkeit -von $(1-p_S)$ ein inhaltlicher $l$-Mehrfachsprung gemacht wird. +$p_S$ ein struktureller Sprung und mit einer Wahrscheinlichkeit +von $(1-p_S)$ ein inhaltlicher Mehrfachsprung gemacht wird. Dieser +Parameter gibt an, wie wichtig die Struktur des Graphen im Verhältnis +zu den textuellen Inhalten ist. Bei $p_S = 0$ werden ausschließlich +die Texte betrachtet, bei $p_S = 1$ ausschließlich die Struktur des +Graphen. Die Vokabularbestimmung kann zu jedem Zeitpunkt $t$ durchgeführt werden, muss es aber nicht. -Im Folgenden werde ich den DYCOS-Algorithmus als Pseudocode vorstellen. -Dafür benötigt man die beiden Hilfsfunktionen für den strukturellen -Sprung sowie den inhaltlichen Mehrfachsprung: +In \cref{alg:DYCOS} wurde der DYCOS-Algorithmus als +Pseudocode vorgestellt. Dafür werden die beiden Hilfsfunktionen +für den strukturellen Sprung sowie den inhaltlichen Mehrfachsprung +benötigt. -\begin{algorithm}[H] +\begin{algorithm} \begin{algorithmic}[1] - \Require \\$\G_t = (\N_t, \A_t, \T_t)$ (Netzwerk),\\ + \Require \\$G_t = (V_t, E_t, V_{L,t})$ (Netzwerk),\\ $r$ (Anzahl der Random Walks),\\ $l$ (Länge eines Random Walks),\\ $p_s$ (Wahrscheinlichkeit eines strukturellen Sprungs),\\ - $q$ (Anzahl der betrachteten Knoten nach der Aggregatanalyse) - \Ensure Klassifikation von $\N_t \setminus \T_t$\\ + $q$ (Anzahl der betrachteten Knoten in der Clusteranalyse) + \Ensure Klassifikation von $V_t \setminus V_{L,t}$\\ \\ - \ForAll{Knoten $v$ in $\N_t \setminus \T_t$} + \ForAll{Knoten $v$ in $V_t \setminus V_{L,t}$} \State $d \gets $ defaultdict \For{$i$ von $1$ bis $r$} \State $w \gets v$ @@ -140,7 +149,7 @@ Sprung sowie den inhaltlichen Mehrfachsprung: \State $label \gets \Call{Random}{M_H}$ \State $v.\Call{AddLabel}{label}$ \Comment{und weise dieses $v$ zu} 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