Commit 525de225 authored by Marc Feger's avatar Marc Feger
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Add PageRank and WordNet to slides/methods.tex

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......@@ -7,4 +7,42 @@
pages = {1117--1127},
location = {Valencia, Spain},
url = {}
number = {1999-66},
month = {November},
author = {Lawrence Page and Sergey Brin and Rajeev Motwani and Terry Winograd},
note = {Previous number = SIDL-WP-1999-0120},
title = {The PageRank Citation Ranking: Bringing Order to the Web.},
type = {Technical Report},
publisher = {Stanford InfoLab},
year = {1999},
institution = {Stanford InfoLab},
url = {}
author = {Mihalcea, Rada and Corley, Courtney and Strapparava, Carlo},
title = {Corpus-Based and Knowledge-Based Measures of Text Semantic Similarity},
year = {2006},
isbn = {9781577352815},
publisher = {AAAI Press},
booktitle = {Proceedings of the 21st National Conference on Artificial Intelligence - Volume 1},
pages = {775–780},
numpages = {6},
location = {Boston, Massachusetts},
series = {AAAI’06}
author = {Wu, Zhibiao and Palmer, Martha},
title = {Verbs Semantics and Lexical Selection},
year = {1994},
publisher = {Association for Computational Linguistics},
address = {USA},
url = {},
doi = {10.3115/981732.981751},
booktitle = {Proceedings of the 32nd Annual Meeting on Association for Computational Linguistics},
pages = {133–138},
numpages = {6},
location = {Las Cruces, New Mexico},
series = {ACL ’94}
\ No newline at end of file
\subsection{Baseline Methods}
\item PageRank by \cite{PageRank1999} was originally used to evaluate relevant websites via their links
\item Websites can be replaced by arguments
\item Linking results due to the reuse of conclusions and premises
\item In this work it was used:
\item Custom-made PageRank
\item NetworkX PageRank
\item NetworkX-Scipy PageRank
\begin{block}{Custom-made PageRank}
p_t(c_i) = \left\{
(1 - \alpha)\frac{1}{|D|} + \alpha \sum_{j}{\frac{p_{t-1}(c_j)}{|P'_j|}} & : t > 0\\
\frac{1}{|D|} & : t = 0
\item As knowledge based method $Sim(T_1, T_2)$ of \cite{Mihalcea2006similarity} was used
\item $Sim(T_1, T_2)$ determines the semantic similarity of $T_1,T_2$ by mutually picking up highly similar concepts
\item The concepts were determined via WordNet
\item For $maxSim$ the $CoSim$ of \cite{Wu1994distance} was used
\begin{block}{$Sim(T_1, T_2)$}
\frac{1}{2}(\frac{\sum_{w \in {T_1}}{maxSim(w, T_2)\cdot idf(w)}}{\sum_{w \in {T_1}}{idf(w)}}+\frac{\sum_{w \in {T_2}}{maxSim(w, T_1)\cdot idf(w)}}{\sum_{w \in {T_2}}{idf(w)}})
\item Analogously, the average conceptual similarity between T1 and T2 was used as a weakened variant
......@@ -17,8 +63,6 @@ contextualized word representations,”}
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