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license: apache-2.0
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---
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license: apache-2.0
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---
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# ๐งฎ Taxonomy Math w/ FM
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A high-quality mathematics dataset curated from web data using taxonomy-based filtering, containing **34 billion tokens** of mathematical content.
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## ๐ฏ Dataset Overview
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This dataset is part of the **EssentialWeb** project, which introduces a new paradigm for dataset curation using expressive metadata and simple semantic filters. Unlike traditional math datasets that require complex domain-specific pipelines, our approach leverages a 12-category taxonomy to efficiently identify and extract high-quality mathematical content.
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**๐ฌ Taxonomy Math w/ FM** (34B tokens): Documents labeled as `51 - Mathematics` in our taxonomy, with all 116M recalled documents then scored by the FineMath classifier and filtered to the top 34B tokens.
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## ๐ Performance
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Our taxonomy-based approach achieves competitive results with significantly less curation effort:
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| Dataset | GSM8K | MATH | Curation Complexity |
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|---------|-------|------|-------------------|
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| FineMath 3+ | **26.4%** | **11.7%** | Complex domain pipeline |
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| OpenWebMath | 14.6% | 9.3% | Complex domain pipeline |
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| MegaMath Web | 9.8% | 7.9% | Complex domain pipeline |
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| Taxonomy Top Math | 21.3% | 11.0% | Simple semantic filter |
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| Taxonomy Math w/ FM | 22.4% | 11.5% | + FineMath classifier |
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*Results show our datasets perform within 15% of SOTA while requiring minimal domain-specific tuning.*
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## โจ Key Features
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- **๐ฏ Direct Distribution Targeting**: Leverage existing taxonomy labels to target math content from web-scale data without training custom high-recall classifiers
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- **๐ Rapid Curation**: Skip the expensive classifier training phase and go straight to content selection
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- **๐ฐ Cost Effective**: Avoid the need to train high-recall domain-specific classifiers for content discovery
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- **๐ Two-Stage Approach**: Use taxonomy for recall, then apply existing quality classifiers for selection
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- **๐ Web-Scale**: Access to math content identified across 23.6B web documents
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## ๐ ๏ธ Curation Method
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Our approach simplifies math dataset creation:
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1. **Traditional Method**: Train high-recall classifiers โ Run on billions of documents
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2. **Our Method**: Query taxonomy metadata for `51 - Mathematics` โ Apply FineMath classifier to all recalled documents โ Select top-scoring content
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### Taxonomy Category Used:
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- **Primary**: `51 - Mathematics` (FDC taxonomy label)
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- **Quality Filtering**: FineMath Classifier applied to all 116M recalled documents, selecting top 34B tokens
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## ๐ Citation
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If you use this dataset, please cite our EssentialWeb paper:
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```bibtex
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@article{essentialweb2025,
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title={EssentialWeb: A 24-Trillion Token Dataset with Expressive Metadata for Efficient Dataset Curation},
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author={[Authors]},
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year={2025}
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}
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```
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---
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*Part of the EssentialWeb ecosystem: Making dataset curation accessible, interpretable, and efficient.*
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