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fix some references to supp figs
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paper/main.tex

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@@ -950,11 +950,11 @@ \section*{Discussion}
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line). The BERT embeddings of the lectures and questions do not show this
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property (Supp.~Fig.~\ldaVsBERT). We also examined per-question ``content
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matches'' between individual questions and individual moments of each lecture
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(Figs.~\ref{fig:question-correlations},~\ldaVsBERT). The time series plot of
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individual questions' correlations are different from each other when computed
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using LDA (e.g., the traces can be clearly visually separated), whereas the
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correlations computed from BERT embeddings of different questions all look very
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similar. This tells us that LDA is capturing some differences in content
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(Fig.~\ref{fig:question-correlations}, Supp.~Fig.~\ldaVsBERT). The time series
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plot of individual questions' correlations are different from each other when
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computed using LDA (e.g., the traces can be clearly visually separated), whereas
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the correlations computed from BERT embeddings of different questions all look
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very similar. This tells us that LDA is capturing some differences in content
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between the questions, whereas BERT is not. The time series plots of individual
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questions' correlations have clear ``peaks'' when computed using LDA, but not
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when computed using BERT. This tells us that LDA is capturing a ``match''
@@ -1013,17 +1013,17 @@ \section*{Discussion}
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computing simple word overlap metrics. For example, the Jaccard similarity
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between text $A$ and $B$ is computed as the number of unique words in the
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intersection of words from $A$ and $B$ divided by the number of unique words in
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the union of words from $A$ and $B$. In a supplementary analysis (Supp.
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Fig.~\jaccard), we compared the LDA-based question-lecture matches we reported
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in Figure~\ref{fig:question-correlations} with the Jaccard similarities between
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each question and each sliding window of text from the corresponding lecture.
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As shown in Supplementary Figure~\jaccard, this simple word-matching approach
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does not appear to capture the same level of specificity as the LDA-based
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approach. Whereas the LDA-based approach often yields a clear peak in the
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time series of correlations between each question and the corresponding lecture,
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the Jaccard similarity-based approach does not. Furthermore, these LDA-based
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matches appear to capture conceptual overlaps between the questions and
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lectures (Supp.~Tab.~\matchTab), whereas simple word matching does not. For
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the union of words from $A$ and $B$. In a supplementary analysis
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(Supp.~Fig.~\jaccard), we compared the LDA-based question-lecture matches we
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reported in Figure~\ref{fig:question-correlations} with the Jaccard similarities
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between each question and each sliding window of text from the corresponding
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lecture. As shown in Supplementary Figure~\jaccard, this simple word-matching
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approach does not appear to capture the same level of specificity as the
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LDA-based approach. Whereas the LDA-based approach often yields a clear peak in
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the time series of correlations between each question and the corresponding
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lecture, the Jaccard similarity-based approach does not. Furthermore, these
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LDA-based matches appear to capture conceptual overlaps between the questions
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and lectures (Supp.~Tab.~\matchTab), whereas simple word matching does not. For
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example, one of the example questions examined in Supplementary
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Figure~\jaccard~asks ``Which of the following occurs as a cloud of atoms gets
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more dense?'' The LDA-based matches identify lecture timepoints where the

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