TensorX
返回文献探索

Paper · arXiv 2508.08940

Train Long, Think Short: Curriculum Learning for Efficient Reasoning

Hasan Abed Al Kader Hammoud, Kumail Alhamoud, Abed Hammoud, Elie Bou-Zeid, Marzyeh Ghassemi, Bernard Ghanem

27 upvotesAugust 12, 2025arXiv 预印本
AI 摘要

A curriculum learning strategy using Group Relative Policy Optimization (GRPO) enhances the reasoning abilities of large language models by progressively tightening token budgets, improving accuracy and token efficiency.

Group Relative Policy Optimization (GRPO)curriculum learningtoken budgetsverifier feedbackstructural tagsGSM8KMATH500SVAMPCollege MathGSM+

Abstract

Recent work on enhancing the reasoning abilities of large language models (LLMs) has introduced explicit length control as a means of constraining computational cost while preserving accuracy. However, existing approaches rely on fixed-length training budgets, which do not take advantage of the natural progression from exploration to compression during learning. In this work, we propose a curriculum learning strategy for length-controlled reasoning using Group Relative Policy Optimization (GRPO). Our method starts with generous token budgets and gradually tightens them over training, encouraging models to first discover effective solution strategies and then distill them into more concise reasoning traces. We augment GRPO with a reward function that balances three signals: task correctness (via verifier feedback), length efficiency, and formatting adherence (via structural tags). Experiments on GSM8K, MATH500, SVAMP, College Math, and GSM+ demonstrate that curriculum-based training consistently outperforms fixed-budget baselines at the same final budget, achieving higher accuracy and significantly improved token efficiency. We further ablate the impact of reward weighting and decay schedule design, showing that progressive constraint serves as a powerful inductive bias for training efficient reasoning models. Our code and checkpoints are released at: https://github.com/hammoudhasan/curriculum_grpo.

北京市昌平区探索星信息技术及软件开发工作室

京ICP备2026059466号