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base_model: Qwen/Qwen2.5-7B
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language:
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- en
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pipeline_tag: text-generation
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# Qwen2.5-Math-7B
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> <div align="center">
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> <b>
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> 🚨 Qwen2.5-Math mainly supports solving English and Chinese math problems through CoT and TIR. We do not recommend using this series of models for other tasks.
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> </b>
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> </div>
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## Introduction
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In August 2024, we released the first series of mathematical LLMs - [Qwen2-Math](https://qwenlm.github.io/blog/qwen2-math/) - of our Qwen family. A month later, we have upgraded it and open-sourced **Qwen2.5-Math** series, including base models **Qwen2.5-Math-1.5B/7B/72B**, instruction-tuned models **Qwen2.5-Math-1.5B/7B/72B-Instruct**, and mathematical reward model **Qwen2.5-Math-RM-72B**.
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Unlike Qwen2-Math series which only supports using Chain-of-Thught (CoT) to solve English math problems, Qwen2.5-Math series is expanded to support using both CoT and Tool-integrated Reasoning (TIR) to solve math problems in both Chinese and English. The Qwen2.5-Math series models have achieved significant performance improvements compared to the Qwen2-Math series models on the Chinese and English mathematics benchmarks with CoT.
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While CoT plays a vital role in enhancing the reasoning capabilities of LLMs, it faces challenges in achieving computational accuracy and handling complex mathematical or algorithmic reasoning tasks, such as finding the roots of a quadratic equation or computing the eigenvalues of a matrix. TIR can further improve the model's proficiency in precise computation, symbolic manipulation, and algorithmic manipulation. Qwen2.5-Math-1.5B/7B/72B-Instruct achieve 79.7, 85.3, and 87.8 respectively on the MATH benchmark using TIR.
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## Model Details
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For more details, please refer to our [blog post](https://qwenlm.github.io/blog/qwen2.5-math/) and [GitHub repo](https://github.com/QwenLM/Qwen2.5-Math).
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## Requirements
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* `transformers>=4.37.0` for Qwen2.5-Math models. The latest version is recommended.
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> [!Warning]
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> <div align="center">
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> <b>
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> 🚨 This is a must because <code>transformers</code> integrated Qwen2 codes since <code>4.37.0</code>.
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> </b>
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> </div>
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For requirements on GPU memory and the respective throughput, see similar results of Qwen2 [here](https://qwen.readthedocs.io/en/latest/benchmark/speed_benchmark.html).
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## Quick Start
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> [!Important]
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> **Qwen2.5-Math-7B-Instruct** is an instruction model for chatting;
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> **Qwen2.5-Math-7B** is a base model typically used for completion and few-shot inference, serving as a better starting point for fine-tuning.
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## Citation
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If you find
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```
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@article{yang2024qwen25mathtechnicalreportmathematical,
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---
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base_model: Qwen/Qwen2.5-Math-7B
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language:
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- en
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pipeline_tag: text-generation
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---
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# Qwen2.5-Math-7B-RoPE-300k
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This model is a variant of [Qwen/Qwen2.5-Math-7B](https://huggingface.co/Qwen/Qwen2.5-Math-7B), whose RoPE base frequency was increased to 300k in order to extend the model's context from 4k to 32k tokens.
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## Citation
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If you find this model useful in your work, please cite the original source:
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```
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@article{yang2024qwen25mathtechnicalreportmathematical,
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