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arXiv cs.AI· Hao Zeng, Jianguo Huang, Bingyi Jing, Hongxin Wei, Bo An·· 3 小时前AI 评分28

PAC Reasoning:为大语言模型高效推理控制性能损失

PAC Reasoning: Controlling the Performance Loss for Efficient Reasoning

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一项被 NeurIPS 2026 接收为海报论文的研究提出 PAC Reasoning(Probably Approximately Correct Reasoning),通过构建性能损失的上置信界并设定切换阈值,让大推理模型在思考与非思考模式间动态切换。该方法以 distribution-free 方式保证性能损失不超过用户指定容忍度,在推理基准上验证了节省计算预算并控制性能损失的效果。

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Abstract:Large reasoning models (LRMs) have achieved remarkable progress in complex problem-solving tasks. Despite this success, LRMs typically suffer from high computational costs during deployment, highlighting a need for efficient inference. A practical direction is to switch the LRM between thinking and non-thinking modes dynamically. However, such approaches often introduce additional reasoning errors and lack statistical guarantees for the performance loss, which are critical for high-stakes applications. In this work, we propose Probably Approximately Correct (PAC) Reasoning that controls the performance loss under the user-specified tolerance. Specifically, we construct an upper confidence bound on the performance loss and determine a threshold for switching to the non-thinking model. Theoretically, using the threshold to switch between the thinking and non-thinking modes ensures bounded performance loss in a distribution-free manner. Our experiments on reasoning benchmarks show that the proposed method can save computational budgets and control the user-specified performance loss.
Comments: Accepted at NeurIPS 2026 (poster). Camera-ready version
Subjects: Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Statistics Theory (math.ST)
Cite as: arXiv:2510.09133 [cs.AI]
  (or arXiv:2510.09133v3 [cs.AI] for this version)
  https://doi.org/10.48550/arXiv.2510.09133

arXiv-issued DOI via DataCite

Submission history

From: Hao Zeng [view email]
[v1] Fri, 10 Oct 2025 08:33:47 UTC (148 KB)
[v2] Fri, 30 Jan 2026 09:59:29 UTC (498 KB)
[v3] Wed, 11 Nov 2026 00:35:09 UTC (316 KB)

来源:arXiv cs.AI · arxiv.org