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license: openrail |
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task_categories: |
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- image-to-text |
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--- |
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# Dataset Description |
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There are two datasets here: *raw_formulas* and *tokenized_formulas*. |
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We crawled approximately 1 million uncleaned and untokenized latex formula image-text pairs from *arxiv*, resulting in the *raw_formulas* dataset. After cleaning and tokenizing the *raw_formulas* dataset, we obtained the *tokenized_formulas* dataset. |
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When rendering images corresponding to the formulas, the following external packages are required: |
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* amsmath |
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* amsfonts |
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* amssymb |
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* mathtools |
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## Details about the *raw_formulas* dataset |
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We crawled latex formulas containing the following formula environments: |
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* equation |
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* align |
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* align* |
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* gather |
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* gather* |
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The formulas do not contain the following content: |
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* \label |
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* % |
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* \quad |
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* \qquad |
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* \vspace |
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* \hspace |
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* \resizebox |
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* \scalebox |
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* \rotatebox |
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* \parbox |
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* \fbox |
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* \makebox |
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* \raisebox |
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* \addvspace |
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* \hfill |
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* \vfill |
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* \textwidth |
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* \textheight |
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* \rule |
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## Preprocessing details of the *tokenized_formulas* dataset |
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### Cleaning |
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* We removed some useless junk data from *raw_formulas*. |
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* We removed overly complex formulas from *raw_formulas*: |
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* Formulas with a render image aspect ratio greater than 0.8 were deleted. |
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* Formulas with a character length greater than 200 were deleted. |
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* The following content in *raw_formulas* formulas was removed: |
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* \tag, |
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* \text |
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* \begin{split} |
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* \end{split} |
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* \nonumber |
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* \notag |
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* In *raw_formulas*, the `equation, equation*, align, \[...\]` formula environments were replaced with the `align*` formula environment, and the `gather` formula environment was replaced with the `gather*` environment. |
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* We removed formulas containing custom macros from *raw_formulas*, only the following common custom macros were retained: |
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* \newcommand{\R}{\mathbb{R}} |
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* \newcommand{\N}{\mathbb{N}} |
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* \newcommand{\Z}{\mathbb{Z}} |
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* \newcommand{\Q}{\mathbb{Q}} |
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* \newcommand{\C}{\mathbb{C}} |
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* \newcommand{\avg}[1]{\left<#1\right>} |
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* \newcommand{\Deriv}[2]{\frac{\mathrm{d} #1}{\mathrm{d} #2}} |
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* \newcommand{\dd}{\mathrm{d}} |
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* \newcommand{\norm}[1]{\left\lVert#1\right\rVert} |
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* \newcommand{\abs}[1]{\left|#1\right|} |
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* \newcommand{\vect}[1]{\mathbf{#1}} |
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### Tokenization |
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Substrings that match the following pattern are considered a word: |
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* \begin{.*?} |
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* \end{.*?} |
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* \\[A-Za-z]+ |
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The following strings are also considered a word: |
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* \\[ |
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* \\] |
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* \\{ |
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* \\} |
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* \\_ |
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* \\$ |
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* \\& |
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* \\\# |
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* \\% |
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* \\| |
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* ' |
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* '' |
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* ''' |
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* '''' |
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* '^ |
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* ''^ |
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* '''^ |
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* ''''^ |
