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Paper · arXiv

InfoDensity: Rewarding Information-Dense Traces for Efficient Reasoning

Large Language Models (LLMs) with extended reasoning capabilities often generate verbose and redundant reasoning traces, incurring unnecessary computational cost. While existing reinforcement learning approaches address this by optimizing final response length, they neglect the quality of intermediate reasoning steps, leaving models vulnerable to reward hacking. We argue that verbosity is not merely a length problem, but a symptom of poor intermediate reasoning quality. To investigate this, we conduct an empirical study tracking the per-token predictive entropy of large reasoning models across reasoning trajectories. We find that high-quality reasoning traces exhibit two consistent proper...

AuthorsChengwei Wei, Jung-jae Kim, Longyin Zhang et al.
Primary categorycs.AI
Published18 March 2026
Last updated at source4 June 2026
cs.AIcs.CL
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