From c10defa867178dc7701a18f669f121be80c95a60 Mon Sep 17 00:00:00 2001 From: NotXia <35894453+NotXia@users.noreply.github.com> Date: Tue, 15 Oct 2024 19:41:51 +0200 Subject: [PATCH] Add NLP logistic regression, metrics, and emotion --- .../img/_confusion_matrix_example.pdf | Bin 0 -> 66241 bytes .../img/_micro_macro_average_example.pdf | Bin 0 -> 106734 bytes .../img/_sentiment_parse_tree.pdf | Bin 0 -> 33970 bytes .../sections/_classification.tex | 327 +++++++++++++++++- 4 files changed, 325 insertions(+), 2 deletions(-) create mode 100644 src/year2/natural-language-processing/img/_confusion_matrix_example.pdf create mode 100644 src/year2/natural-language-processing/img/_micro_macro_average_example.pdf create mode 100644 src/year2/natural-language-processing/img/_sentiment_parse_tree.pdf diff --git a/src/year2/natural-language-processing/img/_confusion_matrix_example.pdf b/src/year2/natural-language-processing/img/_confusion_matrix_example.pdf new file mode 100644 index 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zgq@pn5C9B4`z|09Z}&MF7-gbo^noDf#{q&u&&?YMeuAui`dvVRLPBTtfdPPX^8p4z zQK)XGp9KR^EaT^7@Do6SQ{x2#;X-HU2n \delta(x) | H_0} \] + There are two cases: + \begin{itemize} + \item $p\text{-value}(x)$ is big: the null hypothesis holds (i.e., $\prob{\delta(X) > \delta(x)}$ is high under the assumption that $A$ and $B$ are not related), so $A$ outperforms $B$ by chance. + \item $p\text{-value}(x)$ is small (i.e., $< 0.05$ or $< 0.01$): the null hypothesis is rejected, so $A$ actually outperforms $B$. + \end{itemize} + + \item[Bootstrapping test] \marginnote{Bootstrapping test} + Approach to compute $p$-values. + + Given a test set $x$, multiple virtual test sets $\bar{x}^{(i)}$ are created by sampling with replacement (it is assumed that the new sets are representative). The performance difference $\delta(\cdot)$ is computed between two models and the $p$-value is determined as the frequency of: + \[ \delta(\bar{x}^{(i)}) > 2\delta(x) \] + + \begin{remark} + $\delta(x)$ is doubled due to theoretical reasons. + \end{remark} + + \begin{example} + Consider two models $A$ and $B$, and a test set $x$ with 10 samples. From $x$, multiple new sets (in this case of the same size) can be sampled. In the following table, each cell indicates which model correctly predicted the class: + \begin{center} + \footnotesize + \begin{tabular}{ccccccccccc|ccc} + \toprule + & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & $A\%$ & $B\%$ & $\delta(\cdot)$ \\ + \midrule + $x$ & $AB$ & $A$ & $AB$ & $B$ & $A$ & $B$ & $A$ & $AB$ & -- & $A$ & $0.7$ & $0.5$ & $0.2$ \\ + $\bar{x}^{(1)}$ & $A$ & $AB$ & $A$ & $B$ & $B$ & $A$ & $B$ & $AB$ & -- & $AB$ & $0.6$ & $0.6$ & $0.0$ \\ + $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ & $\vdots$ \\ + \bottomrule + \end{tabular} + \end{center} + A possible way to sample $\bar{x}^{(1)}$ is (w.r.t. the indexes of the examples in $x$) $[2, 3, 3, 2, 4, 6, 2, 4, 1, 9, 1]$. + \end{example} +\end{description} + + + +\section{Affective meaning} + +The affective meaning of a text corpus can vary depending on: +\begin{descriptionlist} + \item[Personality traits] + Stable behavior and personality of a person (e.g., nervous, anxious, reckless, \dots). + + \item[Attitude] + Enduring sentiment towards objects or people (e.g., liking, loving, hating, \dots). + + \item[Interpersonal stance] + Affective stance taken in a specific interaction (e.g., distant, cold, warm, \dots). + + \item[Mood] + Affective state of low intensity and long duration often without an apparent cause (e.g., cheerful, gloomy, irritable, \dots). + + \item[Emotion] + Brief response to an external or internal event of major significance (e.g., angry, sad, joyful, \dots). + + \begin{remark} + Emotion is the most common subject in affective computing. + \end{remark} +\end{descriptionlist} + + +\subsection{Emotion} + +\begin{description} + \item[Theory of emotion] + There are two main theories of emotion: + \begin{descriptionlist} + \item[Basic emotions] \marginnote{Basic emotions} + Discrete and fixed range of atomic emotions. + + \begin{remark} + Emotions associated to a word might be in contrast. For instance, in the NRC Word-Emotion Association Lexicon the word \texttt{thirst} is associated to both \textit{anticipation} and \textit{surprise}. + \end{remark} + + \item[Continuum emotions] \marginnote{Continuum emotions} + Describe emotions in a 2 or 3 dimensional space with the following features: + \begin{descriptionlist} + \item[Valence] Pleasantness of a stimulus. + \item[Arousal] Intensity of emotion. + \item[Dominance] Degree of control on the stimulus. + \end{descriptionlist} + + \begin{remark} + Valence is often used as a measure of sentiment. + \end{remark} + \end{descriptionlist} +\end{description} \ No newline at end of file