Papers › Concise Reasoning via Reinforcement Learning

Concise Reasoning via Reinforcement Learning

7 Apr 2025arXiv:2504.05185archive 2025-07-28

Mehdi Fatemi, Banafsheh Rafiee, Mingjie Tang, Kartik Talamadupula

Despite significant advancements in large language models (LLMs), a major drawback of reasoning models is their enormous token usage, which increases computational cost, resource requirements, and response time. In this work, we revisit the core principles of reinforcement learning (RL) and, through mathematical analysis, demonstrate that the tendency to generate lengthy responses arises inherently from RL-based optimization during training. This finding questions the prevailing assumption that longer responses inherently improve reasoning accuracy. Instead, we uncover a natural correlation between conciseness and accuracy that has been largely overlooked. We show that introducing a secondary phase of RL training, using a very small set of problems, can significantly reduce chains of thought while maintaining or even enhancing accuracy. Additionally, we demonstrate that, while GRPO shares some interesting properties of PPO, it suffers from collapse modes, which limit its reliability for concise reasoning. Finally, we validate our conclusions through extensive experimental results.

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generate_completions ai-wand/concise-reasoning/eval/model_utils.py official repository ran MIT (permissive) · 1525d8bc0fc8d5a0 · report
is_multi_choice ai-wand/concise-reasoning/eval/math_eval.py official repository ran · violated contract MIT (permissive) · d338a8cb44aeb6b4 · report
choice_answer_clean ai-wand/concise-reasoning/eval/grader.py official repository unverified MIT (permissive) · 809c0178a7ae90ff · report
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text_to_trajectory ai-wand/concise-reasoning/eval/trajectory.py official repository unverified MIT (permissive) · 7e48538d19cc0d8f · report
trajectory_to_text ai-wand/concise-reasoning/eval/trajectory.py official repository unverified MIT (permissive) · 0d7ae684ec6c7537 · report
reward_fn identical code first harvested elsewhere ran · our draft was wrong licence of this copy not recorded · 18ed61dcfadbbdf0 · report

Tasks

Reinforcement LearningReinforcement Learning (RL)reinforcement-learning

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Entropy RegularizationPPOSET

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