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About this paper

Benjamin Pikus, Pratyush Ranjan Tiwari, Burton Ye

Research demonstrates that fine-tuning large language models with Group Relative Policy Optimization (GRPO) is most effective when prioritizing "hard" examples, where the base model initially struggles. This strategy consistently yields substantial performance gains, such as a 39.42% absolute increase for Qwen3-14B on GSM8K, and also improves generalization to out-of-distribution problems.

Key insights

  • Prioritizing 'hard' examples, where the base model frequently fails, consistently leads to the greatest performance improvements in GRPO fine-tuning.
  • Hard examples maintain a higher 'learnable percentage' by sustaining within-group reward variance, which is essential for GRPO's contrastive learning mechanism.
  • Training on challenging problems also fosters improved generalization to significantly harder, out-of-distribution problem sets.

Summary by alphaXiv.

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