Datasets:
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license: cc
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---
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license: cc
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task_categories:
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- text-generation
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tags:
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- mathematica
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- textgen
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- synthetic
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pretty_name: HALF
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size_categories:
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- 10M<n<100M
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### HALF Mathematic Database
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#grow...
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| **Feature** | **HALF** | **GSM8K** | **MATH** |
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| -------------------- | ---------------------------------------------- | -------------------------------------- | -------------------------------------- |
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| **Primary Focus** | Pre-training / Synthetic Symbolic Pre-training | Grade school math word problems | Competition-level mathematics |
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| **Dataset Size** | **~23.78 Million examples** (4 shards) | ~8.5K examples (7.5K train / 1K test) | 12.5K examples (7.5K train / 5K test) |
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| **Format** | Single-line LaTeX equations (`A \implies B`) | Natural language word problems | LaTeX & step-by-step reasoning proofs |
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| **Natural Language** | **None** (pure LaTeX math expressions) | High (English narrative word problems) | High (English proofs + LaTeX notation) |
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| **Data Generation** | Programmatically generated / Synthetic | Human-written / Human-verified | Human-compiled (AMC, AIME, HMMT) |
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| **Target Task** | Symbolic identity training, syntax alignment | Multi-step arithmetic reasoning | Deep conceptual problem-solving |
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