Datasets:
Tasks:
Text Generation
Modalities:
Text
Sub-tasks:
language-modeling
Languages:
English
Size:
100K - 1M
License:
Zhangir Azerbayev
commited on
Commit
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Parent(s):
f34a2b4
Moved build scripts to github
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- .gitattributes +3 -0
- README.md +45 -7
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.gitattributes
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README.md
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---
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# Dataset Description
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The `proof-pile` is a
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- ArXiv.math (
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- Open-source math textbooks (50MB)
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- Formal mathematics libraries (500MB)
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- Lean mathlib and other Lean repositories
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- Wikipedia math articles
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- MATH dataset (6MB)
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# Supported Tasks
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This dataset is intended to be used for pre-training language models. We envision models
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# Languages
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All informal mathematics in the `proof-pile` is written in English and LaTeX (arXiv articles in other languages are filtered out using [languagedetect](https://github.com/shuyo/language-detection/blob/wiki/ProjectHome.md)). Formal theorem proving languages represented in this dataset are Lean 3, Isabelle, Coq, HOL Light, Metamath, and Mizar.
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# Configurations
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The data is sorted into `"arxiv", "books", "formal", "stack-exchange", "wiki",` and `"math-dataset"` configurations. This is so that it is easy to upsample particular configurations during pre-training with the `datasets.interleave_datasets()` function.
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# Evaluation
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The version of `set.mm` in this dataset has 10% of proofs replaced with the `?` character in order to preserve a validation and test set for Metamath provers pre-trained on the `proof-pile`. The precise split can be found here: [validation](https://github.com/zhangir-azerbayev/mm-extract/blob/main/valid_decls.json) and [test](https://github.com/zhangir-azerbayev/mm-extract/blob/main/test_decls.json).
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The Lean mathlib commit used in this dataset is `6313863`. Theorems created in subsequent commits can be used for evaluating Lean theorem provers.
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This dataset contains only the training set of the [MATH dataset](https://github.com/hendrycks/math). However, because this dataset contains ProofWiki, the Stacks Project, Trench's Analysis, and Stein's Number Theory, models trained on it cannot be evaluated on the [NaturalProofs dataset](https://github.com/wellecks/naturalproofs).
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## Contributions
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Authors: Zhangir Azerbayev, Edward Ayers, Bartosz Piotrowski.
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---
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# Dataset Description
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The `proof-pile` is a 36GB pre-training dataset of mathematical text that comprises roughly 15 billion tokens. The dataset is composed of diverse sources of both informal and formal mathematics, namely
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- ArXiv.math (35GB)
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- Open-source math textbooks (50MB)
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- Formal mathematics libraries (500MB)
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- Lean mathlib and other Lean repositories
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- Wikipedia math articles
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- MATH dataset (6MB)
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The construction of the dataset is reproducible using the code and instructions in the [proof-pile Github
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repo](https://github.com/zhangir-azerbayev/proof-pile).
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# Supported Tasks
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This dataset is intended to be used for pre-training and fine-tuning language models. We envision models trained on the `proof-pile` will have many downstream applications, including informal quantitative reasoning, formal theorem proving, semantic search for formal mathematics, and autoformalization.
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# Languages
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All informal mathematics in the `proof-pile` is written in English and LaTeX (arXiv articles in other languages are filtered out using [languagedetect](https://github.com/shuyo/language-detection/blob/wiki/ProjectHome.md)). Formal theorem proving languages represented in this dataset are Lean 3, Isabelle, Coq, HOL Light, Metamath, and Mizar.
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# Evaluation
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The version of `set.mm` in this dataset has 10% of proofs replaced with the `?` character in order to preserve a validation and test set for Metamath provers pre-trained on the `proof-pile`. The precise split can be found here: [validation](https://github.com/zhangir-azerbayev/mm-extract/blob/main/valid_decls.json) and [test](https://github.com/zhangir-azerbayev/mm-extract/blob/main/test_decls.json).
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The Lean mathlib commit used in this dataset is `6313863`. Theorems created in subsequent commits can be used for evaluating Lean theorem provers.
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This dataset contains only the training set of the [MATH dataset](https://github.com/hendrycks/math). However, because this dataset contains ProofWiki, the Stacks Project, Trench's Analysis, and Stein's Number Theory, models trained on it cannot be evaluated on the [NaturalProofs dataset](https://github.com/wellecks/naturalproofs).
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# Data Preprocessing
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This section describes any significant filtering and transformations made to various subsets of the data.
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### arXiv.math
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The arXiv.math dataset is large, heterogeneous, and contains a great deal of noise. We used the following heuristics
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when choosing which files from arXiv.math source folders to include in the dataset:
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- Keep only files with a `.tex` extension.
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- Only include files that use either a `utf-8/16/32` or `latin-1` text encoding.
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- Discard files that do not contain a part, chapter, section, sub...section, paragraph, or subparagraph heading.
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- Delete files that contain the keyword `gnuplot`. Gnuplot-latex is an old command line utility that generates blocks
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of entirely unintelligible source.
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- Include only articles in English, as determined by the [langdetect library](https://pypi.org/project/langdetect/). \n",
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"\n",
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- Exclude files shorter than 280 characters (characters counted after substring removal described below).
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In addition, we apply the following transformations to arXiv.math texts:
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- Delete everything outside of `\begin{document}` and `\end{document}`.
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- Delete everything including or after `\Refs`, `\begin{thebibliography}`, or `\begin{bibdiv}`
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- Delete comments.
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- Any more than three consecutive newlines are replaced by three consecutive newlines.
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In [this notebook](https://github.com/zhangir-azerbayev/proof-pile/blob/main/analysis/arxiv_noisedetection.ipynb), we provide an analysis of the prevalence of noisy documents in the arXiv.math subset of the
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proof-pile.
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### Stack Exchange
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We only include questions that have at least 5 upvotes and an answer. We format Stack Exchange posts as follows
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```
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QUESTION [{num_upvotes} upvotes]: {text of question}
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REPLY [{num_upvotes} votes]: {text of reply}
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REPLY [{num_upvotes} votes]: {text of reply}
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.
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.
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.
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```
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### set.mm
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We converted `set.mm` into human-readable form by following the instructions in the [mm-extract repo](https://github.com/zhangir-azerbayev/mm-extract)
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## Contributions
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Authors: Zhangir Azerbayev, Edward Ayers, Bartosz Piotrowski.
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