Reproduce “Winning Gold at IMO 2025 with a Model-Agnostic Verification-and-Refinement Pipeline” on OpenResearch

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About this paper

Yichen Huang, Lin F. Yang

A model-agnostic verification-and-refinement pipeline is introduced to enhance large language models' capabilities in advanced mathematical problem-solving. This approach enabled leading LLMs to achieve a gold medal standard at the IMO 2025 by producing rigorous, human-readable proofs for 5 out of 6 problems, significantly surpassing the performance of unaugmented models.

Key insights

  • An iterative verification-and-refinement process is essential to unlock and systematically structure the latent advanced mathematical reasoning capabilities present in powerful LLMs.
  • The design of a robust, LLM-based verifier capable of meticulously identifying critical errors and justification gaps is crucial for providing high-quality feedback necessary for effective self-correction.
  • Producing human-readable proofs, rather than solely machine-verifiable formal proofs, is key for fostering effective human-AI collaboration and making AI-derived mathematical insights accessible to the broader scientific community.

Summary by alphaXiv.

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