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README.md
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---
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license:
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---
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license: mit
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pretty_name: μ-MATH
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task_categories:
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- text-generation
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language:
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- en
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tags:
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- math
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- reasoning
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size_categories:
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- 1K<n<10K
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dataset_info:
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features:
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- name: uuid
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dtype: string
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- name: subject
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dtype: string
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- name: has_image
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dtype: bool
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- name: image
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dtype: binary
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- name: problem_statement
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dtype: string
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- name: golden_answer
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dtype: string
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splits:
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- name: test
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num_examples: 1100
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configs:
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- config_name: default
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data_files:
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- split: test
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path: data/test-*
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---
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**U-MATH** is a comprehensive benchmark of 1,100 unpublished university-level problems sourced from real teaching materials.
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It is designed to evaluate the mathematical reasoning capabilities of Large Language Models (LLMs). \
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The dataset is balanced across six core mathematical topics and includes 20% of multimodal problems (involving visual elements such as graphs and diagrams).
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For fine-grained performance evaluation results and detailed discussion, check out our [paper](LINK).
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* 📊 [U-MATH benchmark at Hugginface](https://huggingface.co/datasets/toloka/umath)
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* 🔎 [μ-MATH benchmark at Hugginface](https://huggingface.co/datasets/toloka/mumath)
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* 🗞️ [Paper](LINK)
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* 👾 [Evaluation Code at GitHub](https://github.com/Toloka/u-math/)
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### Key Features
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* **Topics Covered**: Precalculus, Algebra, Differential Calculus, Integral Calculus, Multivariable Calculus, Sequences & Series.
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* **Problem Format**: Free-form answer with LLM judgement
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* **Evaluation Metrics**: Accuracy; splits by subject and text-only vs multimodal problem type.
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* **Curation**: Original problems composed by math professors and used in university curricula, samples validated by math experts at [Toloka AI](https://toloka.ai), [Gradarius](https://www.gradarius.com)
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### Dataset Fields
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`uuid`: problem id \
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`has_image`: a boolean flag on whether the problem is multimodal or not \
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`image`: binary data encoding the accompanying image, empty for text-only problems \
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`subject`: subject tag marking the topic that the problem belongs to \
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`problem_statement`: problem formulation, written in natural language \
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`golden_answer`: a correct solution for the problem, written in natural language \
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For meta-evaluation (evaluating the quality of LLM judges), refer to [µ-MATH dataset](https://huggingface.co/datasets/toloka/mu-math).
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### Evaluation Results
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<div align="center">
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<img src="https://cdn-uploads.huggingface.co/production/uploads/650238063e61bc019201e3e2/beMyOikpKfp3My2vu5Mjc.png" alt="umath-table" width="800"/>
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</div>
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<div align="center">
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<img src="https://cdn-uploads.huggingface.co/production/uploads/650238063e61bc019201e3e2/7_VZXidxMHG7PiDM983lS.png" alt="umath-bar" width="950"/>
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</div>
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The prompt used for inference:
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```
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{problem_statement}
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Please reason step by step, and put your final answer within \boxed{}
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```
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### Licensing Information
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All the dataset contents are available under the MIT license.
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### Citation
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If you use U-MATH or μ-MATH in your research, please cite the paper:
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```bibtex
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@inproceedings{umath2024,
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title={U-MATH: A University-Level Benchmark for Evaluating Mathematical Skills in LLMs},
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author={Konstantin Chernyshev, Vitaliy Polshkov, Ekaterina Artemova, Alex Myasnikov, Vlad Stepanov, Alexei Miasnikov and Sergei Tilga},
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year={2024}
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}
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```
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### Contact
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For inquiries, please contact [email protected]
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