aiqbench analysis
This research addresses the "overthinking" problem in large language models by introducing statistical methods to halt generation once uncertainty signals indicate diminishing returns, particularly during complex math reasoning tasks. By modeling keyword inter-arrival times as renewal processes and providing finite-sample guarantees for nonparametric approaches, the study offers a principled way to balance efficiency with reliability without sacrificing accuracy on well-defined queries. These techniques represent a significant step forward in optimizing inference costs while maintaining high performance across diverse domains.
Statistical Early Stopping for Reasoning Models
arXiv:2602.13935v2 Announce Type: replace Abstract: While LLMs have seen substantial improvement in reasoning capabilities, they also sometimes overthink, generating unnecessary reasoning steps, particularly under uncertainty, given ill-posed or ambiguous queries. We introduce statistically principled early stopping methods that monitor uncertainty signals during generation to mitigate this issue. Our first approach is parametric: it models inter-arrival times of uncertainty keywords as a renewal process and applies sequential testing for stopping. Our second approach is nonparametric and provides finite-sample guarantees on the probability of halting too early on well-posed queries. We conduct empirical evaluations on reasoning tasks across several domains and models. Our results indicate that uncertainty-aware early stopping can improve both efficiency and reliability in LLM reasoning, and we observe especially significant gains for math reasoning.
Abstract:While LLMs have seen substantial improvement in reasoning capabilities, they also sometimes overthink, generating unnecessary reasoning steps, particularly under uncertainty, given ill-posed or ambiguous queries. We introduce statistically principled early stopping methods that monitor uncertainty signals during generation to mitigate this issue. Our first approach is parametric: it models inter-arrival times of uncertainty keywords as a renewal process and applies sequential testing for stopping. Our second approach is nonparametric and provides finite-sample guarantees on the probability of halting too early on well-posed queries. We conduct empirical evaluations on reasoning tasks across several domains and models. Our results indicate that uncertainty-aware early stopping can improve both efficiency and reliability in LLM reasoning, and we observe especially significant gains for math reasoning.
Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Machine Learning (stat.ML)
arXiv:2602.13935 [cs.AI]
(or arXiv:2602.13935v2 [cs.AI] for this version)
https://doi.org/10.48550/arXiv.2602.13935 Focus to learn more arXiv-issued DOI via DataCite
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Full text under the publisher's open licence · 218 words
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