From 04a45f295e095d2d2831428b53ca11644df13fda Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Sun, 26 Jan 2014 15:22:13 +0100 Subject: [PATCH] =?UTF-8?q?Analyse=20hinzugef=C3=BCgt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- documents/DYCOS/Analyse.tex | 27 +++++++++++++++++++ documents/DYCOS/DYCOS.pdf | Bin 424273 -> 446635 bytes documents/DYCOS/DYCOS.tex | 3 +++ documents/DYCOS/literatur.bib | 47 ++++++++++++++++++++++++++++++++++ 4 files changed, 77 insertions(+) create mode 100644 documents/DYCOS/Analyse.tex diff --git a/documents/DYCOS/Analyse.tex b/documents/DYCOS/Analyse.tex new file mode 100644 index 0000000..639f48b --- /dev/null +++ b/documents/DYCOS/Analyse.tex @@ -0,0 +1,27 @@ +Für den DYCOS-Algorithmus wurde in \cite{aggarwal2011} bewiesen, +dass sich nach Ausführung von DYCOS für einen unbeschrifteten +Knoten mit einer Wahrscheinlichkeit von höchstens +$(1-k)\cdot e^{-l \cdot b^2 / 2}$ eine Knotenbeschriftung ergibt, deren +relative Häufigkeit weniger als $b$ der häufigsten Beschriftung ist. +Dabei ist $k$ die Anzahl der Klassen und $l$ die Länge der +Random-Walks. + +Außerdem wurde experimentell anhand des DBLP-Datensatzes\footnote{http://dblp.uni-trier.de/} +und des CORA-Datensatzes\footnote{http://people.cs.umass.edu/~mccallum/data/cora-classify.tar.gz} +gezeigt, dass die Klassifikationsgüte nicht wesentlich von der +maximalen Listenlänge $a$ und der Anzahl der Wörter mit +höchstem Gini-Koeffizient $m$ abhängt. Obwohl es sich nicht sagen lässt, +wie genau die Ergebnisse aus \cite{aggarwal2011} zustande gekommen sind, +eignet sich das Kreuzvalidierungsverfahren zur Bestimmung der Klassifikationsgüte +wie es in \cite{Lavesson,Stone1974} vorgestellt wird: +\begin{enumerate} + \item Betrachte nur $V_{L,T}$. + \item Unterteile $V_{L,T}$ zufällig in $k$ disjunkte Mengen $M_1, \dots, M_k$. + \item \label{schritt3} Teste die Klassifikationsgüte, wenn die Knotenbeschriftungen + aller Knoten in $M_i$ für DYCOS verborgen werden für $i=1,\dots, k$. + \item Bilde den Durchschnitt der Klassifikationsgüten aus \cref{schritt3}. +\end{enumerate} + +Es wird $k=10$ vorgeschlagen. + + diff --git a/documents/DYCOS/DYCOS.pdf b/documents/DYCOS/DYCOS.pdf index afc73ad0f04b9139ebf3baa46b4e99cca3261fe8..10f67cf429a76db65ce5789c8d6ca27eb2631bdf 100644 GIT binary patch delta 162338 zcmZUZLy#q0(5B0_ZQHiHY}>YV%eKw#vTfT&mu}fMx@x|eh?!aZn-h6X|an z#RuH#VtiCeWeF)pRwhn3%7vBD4LEM@M$}JeP_AY~m=t(W?&czNI%H6e=4mp&|9z8Y 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-63,6 +63,9 @@ \section{DYCOS} \input{DYCOS-Algorithmus} +\section{Analyse des DYCOS-Algorithmus} +\input{Analyse} + \section{Probleme des DYCOS-Algorithmus} \input{SchwaechenVerbesserungen} diff --git a/documents/DYCOS/literatur.bib b/documents/DYCOS/literatur.bib index f4d3e9b..aef88b5 100644 --- a/documents/DYCOS/literatur.bib +++ b/documents/DYCOS/literatur.bib @@ -97,6 +97,51 @@ address = {New York, NY, USA}, } +@MASTERSTHESIS{heck, + AUTHOR = {Heck, Michael}, + TITLE = {Unsupervised Acoustic Model Training for Simultaneous Lecture Translation in Incremental and Batch Mode}, + SCHOOL = {Karlsruhe Institute of Technology}, + TYPE = {Diploma Thesis}, + ADDRESS = {Germany}, + MONTH = DEC, + YEAR = 2012, + PDF = {http://isl.anthropomatik.kit.edu/cmu-kit/downloads/Diplomarbeit_Heck_Michael.pdf} +} + +@MASTERSTHESIS{Lavesson, + AUTHOR = {Lavesson, Niklas}, + TITLE = {Evaluation and analysis of supervised learning algorithms and classifiers}, + SCHOOL = {Blekinge Institute of Technology}, + TYPE = {Diploma Thesis}, + ADDRESS = {Sweden}, + MONTH = DEC, + YEAR = 2006, + PDF = {http://www.bth.se/fou/Forskinfo.nsf/Sok/c655a0b1f9f88d16c125714c00355e5d/$file/Lavesson_lic.pdf} +} + +@article{Stone1974, + abstract = {{A generalized form of the cross-validation criterion is applied to the choice and assessment of prediction using the data-analytic concept of a prescri +ption. The examples used to illustrate the application are drawn from the problem areas of univariate estimation, linear regression and analysis of variance.}}, + author = {Stone, M.}, + citeulike-article-id = {6758792}, + citeulike-linkout-0 = {http://dx.doi.org/10.2307/2984809}, + citeulike-linkout-1 = {http://www.jstor.org/stable/2984809}, + doi = {10.2307/2984809}, + issn = {00359246}, + journal = {Journal of the Royal Statistical Society. Series B (Methodological)}, + keywords = {biomarker, cross\_validation}, + number = {2}, + pages = {111--147}, + posted-at = {2011-08-02 14:22:37}, + priority = {2}, + publisher = {Blackwell Publishing for the Royal Statistical Society}, + title = {{Cross-Validatory Choice and Assessment of Statistical Predictions}}, + url = {http://dx.doi.org/10.2307/2984809}, + volume = {36}, + year = {1974} +} + + @incollection{porter, author = {Porter, M. F.}, chapter = {An Algorithm for Suffix Stripping}, @@ -112,6 +157,8 @@ address = {San Francisco, CA, USA}, } + + @incollection{szummer, title = {Partially labeled classification with Markov random walks}, author = {Martin Szummer and Jaakkola, Tommi},