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  If you find our work helpful, please feel free to cite the paper.
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  ```
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- @inproceedings{
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- nakamura2025optimal,
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- title={Optimal Sparsity of Mixture-of-Experts Language Models for Reasoning Tasks},
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- author={Taishi Nakamura and Satoki Ishikawa and Masaki Kawamura and Takumi Okamoto and Daisuke Nohara and Jun Suzuki and Rio Yokota},
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- booktitle={2nd AI for Math Workshop @ ICML 2025},
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- year={2025},
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- url={https://openreview.net/forum?id=Ewj06opLqW}
 
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  }
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  ```
 
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  If you find our work helpful, please feel free to cite the paper.
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  ```
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+ @article{nakamura2025optimalsparsitymixtureofexpertslanguage,
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+ title={Optimal Sparsity of Mixture-of-Experts Language Models for Reasoning Tasks},
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+ author={Taishi Nakamura and Satoki Ishikawa and Masaki Kawamura and Takumi Okamoto and Daisuke Nohara and Jun Suzuki and Rio Yokota},
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+ year={2025},
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+ eprint={2508.18672},
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+ archivePrefix={arXiv},
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+ primaryClass={cs.LG},
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+ url={https://arxiv.org/abs/2508.18672},
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  }
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  ```