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Main Authors: Su, Jiayuan, Lin, Fulin, Feng, Zhaopeng, Zheng, Han, Wang, Teng, Xiao, Zhenyu, Zhao, Xinlong, Liu, Zuozhu, Cheng, Lu, Wang, Hongwei
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.19970
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author Su, Jiayuan
Lin, Fulin
Feng, Zhaopeng
Zheng, Han
Wang, Teng
Xiao, Zhenyu
Zhao, Xinlong
Liu, Zuozhu
Cheng, Lu
Wang, Hongwei
author_facet Su, Jiayuan
Lin, Fulin
Feng, Zhaopeng
Zheng, Han
Wang, Teng
Xiao, Zhenyu
Zhao, Xinlong
Liu, Zuozhu
Cheng, Lu
Wang, Hongwei
contents Recent advances in Large Reasoning Models (LRMs) have significantly improved long-chain reasoning capabilities over Large Language Models (LLMs). However, LRMs often produce unnecessarily lengthy outputs even for simple queries, leading to inefficiencies or even accuracy degradation compared to LLMs. To overcome this, we propose CP-Router, a training-free and model-agnostic routing framework that dynamically selects between an LLM and an LRM, demonstrated with multiple-choice question answering (MCQA) prompts. The routing decision is guided by the prediction uncertainty estimates derived via Conformal Prediction (CP), which provides rigorous coverage guarantees. To further refine the uncertainty differentiation across inputs, we introduce Full and Binary Entropy (FBE), a novel entropy-based criterion that adaptively selects the appropriate CP threshold. Experiments across diverse MCQA benchmarks, including mathematics, logical reasoning, and Chinese chemistry, demonstrate that CP-Router efficiently reduces token usage while maintaining or even improving accuracy compared to using LRM alone. We also extend CP-Router to diverse model pairings and open-ended QA, where it continues to demonstrate strong performance, validating its generality and robustness.
format Preprint
id arxiv_https___arxiv_org_abs_2505_19970
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle CP-Router: An Uncertainty-Aware Router Between LLM and LRM
Su, Jiayuan
Lin, Fulin
Feng, Zhaopeng
Zheng, Han
Wang, Teng
Xiao, Zhenyu
Zhao, Xinlong
Liu, Zuozhu
Cheng, Lu
Wang, Hongwei
Computation and Language
Recent advances in Large Reasoning Models (LRMs) have significantly improved long-chain reasoning capabilities over Large Language Models (LLMs). However, LRMs often produce unnecessarily lengthy outputs even for simple queries, leading to inefficiencies or even accuracy degradation compared to LLMs. To overcome this, we propose CP-Router, a training-free and model-agnostic routing framework that dynamically selects between an LLM and an LRM, demonstrated with multiple-choice question answering (MCQA) prompts. The routing decision is guided by the prediction uncertainty estimates derived via Conformal Prediction (CP), which provides rigorous coverage guarantees. To further refine the uncertainty differentiation across inputs, we introduce Full and Binary Entropy (FBE), a novel entropy-based criterion that adaptively selects the appropriate CP threshold. Experiments across diverse MCQA benchmarks, including mathematics, logical reasoning, and Chinese chemistry, demonstrate that CP-Router efficiently reduces token usage while maintaining or even improving accuracy compared to using LRM alone. We also extend CP-Router to diverse model pairings and open-ended QA, where it continues to demonstrate strong performance, validating its generality and robustness.
title CP-Router: An Uncertainty-Aware Router Between LLM and LRM
topic Computation and Language
url https://arxiv.org/abs/2505.19970