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About this paper

Jinhe Bi, Danqi Yan, Yifan Wang, Wenke Huang, Haokun Chen, Guancheng Wan, Mang Ye, Xun Xiao and 3 more

Researchers from LMU Munich and collaborators introduce CoT-Kinetics, a theoretical framework that evaluates reasoning quality in Large Reasoning Models by modeling the reasoning process as particle motion through a force field, achieving superior performance across 7 open-source LRMs and 6 diverse benchmarks while enabling fine-grained assessment of reasoning trajectories beyond final answer correctness.

Key insights

  • Reasoning quality can be modeled mathematically by treating token state transitions analogously to particle motion in physics
  • Both first-order (momentum) and second-order (curvature) semantic transitions are important for capturing reasoning dynamics
  • Incorporating model uncertainty through output logit entropy improves assessment accuracy

Summary by alphaXiv.

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