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Linguistic Generalizability of Test-Time Scaling in Mathematical Reasoning

24 February 2025
Guijin Son
Jiwoo Hong
Hyunwoo Ko
James Thorne
    LRM
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Abstract

Scaling pre-training compute has proven effective for achieving mulitlinguality, but does the same hold for test-time scaling? In this work, we introduce MCLM, a multilingual math benchmark featuring competition-level problems in 55 languages. We test three test-time scaling methods-Outcome Reward Modeling (ORM), Process Reward Modeling (ORM), and Budget Forcing (BF)-on both Qwen2.5-1.5B Math and MR1-1.5B, a multilingual LLM we trained for extended reasoning. Our experiments show that using Qwen2.5-1.5B Math with ORM achieves a score of 35.8 on MCLM, while BF on MR1-1.5B attains 35.2. Although "thinking LLMs" have recently garnered significant attention, we find that their performance is comparable to traditional scaling methods like best-of-N once constrained to similar levels of inference FLOPs. Moreover, while BF yields a 20-point improvement on English AIME, it provides only a 1.94-point average gain across other languages-a pattern consistent across the other test-time scaling methods we studied-higlighting that test-time scaling may not generalize as effectively to multilingual tasks. To foster further research, we release MCLM, MR1-1.5B, and evaluation results.

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@article{son2025_2502.17407,
  title={ Linguistic Generalizability of Test-Time Scaling in Mathematical Reasoning },
  author={ Guijin Son and Jiwoo Hong and Hyunwoo Ko and James Thorne },
  journal={arXiv preprint arXiv:2502.17407},
  year={ 2025 }
}
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