arXiv AI

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

The paper introduces GUT, a method that uses directed acyclic graphs to represent all possible reasoning branches of Large Language Models (LLMs). It comprises two modules: GUT-Q, which quantifies reasoning uncertainty by approximating graph complexity, and GUT-O, which reduces uncertainty through reinforcement learning that rewards lower uncertainty. Experiments on four LLMs across five datasets demonstrate GUT’s effectiveness in measuring and mitigating reasoning uncertainty.

arXiv Computation and Language
Oct 21

Diagnostic Analysis for Large Language Model Reasoning

The paper introduces a two-stage diagnostic evaluation to assess the structural reliability of reasoning graphs used in large language models for tasks like multi-hop question answering. Stage 1 examines how graph reliability depends on topology, prompt design, and model family, while Stage 2 evaluates the impact of graph errors on uncertainty estimation. Findings show that graph-based computation is vulnerable to upstream errors, offers limited benefit as prompt context alone, but improves confidence-based answer discrimination and enables node-level diagnostics.

By Xinyu Liu, Dongqi Fu, Jun Wu
arXiv AI
Aug 14

Unified Multi-Dimensional Benchmark for Complex Graph Reasoning in Large Language Models

arXiv:2608. 12391v1 Announce Type: cross Abstract: Graph reasoning provides a promising testbed for evaluating the reasoning ability of large language models (LLMs), as graph instances can be programmatically generated, structurally controlled, and naturally scaled to long-input settings.

By Fali Wang, Ali Al-Lawati, Iliyas Bektas, Jinxuan Fang, Alek Melenski, Tianxiang Zhao, Yao Ma, Suhang Wang
arXiv Computation and Language
Oct 19

LLMs Think with DAGs: Probing the Latent Graph Structure of Reasoning

The paper introduces Reasoning DAG Probing, a method that treats premises, intermediate conclusions, and final answers as nodes in a directed acyclic graph (DAG). By training lightweight probes on LLM hidden states, the authors show that DAG structure is encoded in the models, peaking in intermediate layers and becoming stronger with larger models. During autoregressive generation, the latent DAG structure emerges progressively, anticipating answer correctness and enabling correction of some incorrect outputs by steering activations toward the ground‑truth DAG.

By Tianjun Zhong, Linyang He, Ziyang Li, Nima Mesgarani