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Order to the Web.}, + type = {Technical Report}, + publisher = {Stanford InfoLab}, + year = {1999}, + institution = {Stanford InfoLab}, + url = {http://ilpubs.stanford.edu:8090/422/} +} +@inproceedings{Mihalcea2006similarity, + 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} +} +@misc{Wu1994distance, + author = {Wu, Zhibiao and Palmer, Martha}, + title = {Verbs Semantics and Lexical Selection}, + year = {1994}, + publisher = {Association for Computational Linguistics}, + address = {USA}, + url = {https://doi.org/10.3115/981732.981751}, + 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 diff --git a/slides/methods.tex b/slides/methods.tex index 1828921..db6338a 100644 --- a/slides/methods.tex +++ b/slides/methods.tex @@ -1,5 +1,51 @@ \section{Methods} \subsection{Baseline Methods} +\begin{frame} + \frametitle{PageRank} + \begin{columns} + \column{0.6\textwidth} + \begin{itemize} + \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: + \begin{itemize} + \item Custom-made PageRank + \item NetworkX PageRank + \item NetworkX-Scipy PageRank + \end{itemize} + \end{itemize} + \begin{block}{Custom-made PageRank} + \begin{equation*} + p_t(c_i) = \left\{ + \begin{array}{lr} + (1 - \alpha)\frac{1}{|D|} + \alpha \sum_{j}{\frac{p_{t-1}(c_j)}{|P'_j|}} & : t > 0\\ + \frac{1}{|D|} & : t = 0 + \end{array} + \right. + \end{equation*} + \end{block} + \column{0.4\textwidth} + \includegraphics[scale=0.25]{bilder/ExampleGraph.png} + \end{columns} +\end{frame} +\begin{frame} + \frametitle{WordNet} + \begin{itemize} + \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 + \end{itemize} + \begin{block}{$Sim(T_1, T_2)$} + \begin{equation*} + \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)}}) + \end{equation*} + \end{block} + \begin{itemize} + \item Analogously, the average conceptual similarity between T1 and T2 was used as a weakened variant + \end{itemize} +\end{frame} \begin{frame} \frametitle{Similarity} \begin{itemize} @@ -17,8 +63,6 @@ contextualized word representations,”} \end{itemize} \end{itemize} \end{frame} - - \begin{frame} \frametitle{Sentiment} \begin{itemize} -- GitLab