GUT: Quantifying and Optimizing the Reasoning Uncertainty of LLMs via Graph Complexity

📅 2026-09-04
📈 Citations: 0
Influential: 0
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🤖 AI Summary
本文提出GUT方法,通过图复杂度量化和优化大语言模型的推理不确定性,包括量化模块GUT-Q和优化模块GUT-O。
📝 Abstract
Recent years have witnessed great advances in the reasoning ability of Large Language Models (LLMs). However, the reasoning processes of LLMs often exhibit uncertainty, where LLMs often produce a proliferation of divergent branches at each reasoning step even when fed the same prompting inputs, and certain branches exhibit evidently incredible, even nonsensical, reasoning chains and results. In this paper, we propose the Graph-complexity-based UncerTainty (GUT) method for investigating the reasoning uncertainty of LLMs. The key idea of GUT is to characterize the potential branches of each reasoning chain with a directed acyclic graph, thereby ensuring that all potential branches are comprehensively covered within the graph space. Building upon this recognition, we further build two modules of GUT, that is, a Quantification (GUT-Q) module and an Optimization (GUT-O) module, for quantifying and reducing the reasoning uncertainty of LLMs, respectively. GUT-Q measures LLM reasoning uncertainty by approximating the reasoning space complexity with graph complexity. GUT-O implements uncertainty optimization by treating negative uncertainty as the reward function in reinforcement learning. Experimental results conducted on four LLMs and five datasets validate the effectiveness of GUT.
Problem

Research questions and friction points this paper is trying to address.

Large Language Models
reasoning uncertainty
divergent branches
incredible reasoning chains
graph complexity
Innovation

Methods, ideas, or system contributions that make the work stand out.

Graph-complexity-based Uncertainty (GUT)
Reasoning Uncertainty
Large Language Models (LLMs)
Reinforcement Learning
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Shuang Liang
Shuang Liang
Research Associated Professor, University of Electronic Science and Technology of China
Graph Neural NetworkKnowledge GraphData Mining
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Xin-Yu Hu
National Key Laboratory for Novel Software Technology, Nanjing University, China.
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Xiang-Jun Ou
School of Intelligent Science and Technology, Nanjing University, China.
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Shao-Qun Zhang
National Key Laboratory for Novel Software Technology, Nanjing University, China.