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From Sequence to Structure: Relational Uncertainty Propagation for LLM Agents

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RUPA models LLM-agent trajectories as relational graphs and propagates uncertainty across their dependencies, yielding more accurate and earlier failure detection and better uncertainty-guided execution than existing methods across diverse agent benchmarks.</p>\n","updatedAt":"2026-08-19T02:05:13.593Z","author":{"_id":"5fc052241160c47d1d438556","avatarUrl":"/avatars/f508707fc92f1b42f7897b12b727754c.svg","fullname":"Boxi Cao","name":"Bowieee","type":"user","isPro":false,"isHf":false,"isHfAdmin":false,"isMod":false,"followerCount":5,"isUserFollowing":false}},"numEdits":0,"identifiedLanguage":{"language":"en","probability":0.899438738822937},"editors":["Bowieee"],"editorAvatarUrls":["/avatars/f508707fc92f1b42f7897b12b727754c.svg"],"reactions":[],"isReport":false}}],"primaryEmailConfirmed":false,"paper":{"id":"2608.16002","authors":[{"_id":"6a850c56536bdd3bdd48f702","name":"Zhengzhao Ma. 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Papers
arxiv:2608.16002

From Sequence to Structure: Relational Uncertainty Propagation for LLM Agents

Published on Aug 17
· Submitted by
Boxi Cao
on Aug 19
Authors:
,

Abstract

RUPA models agent execution as a dependency graph to propagate uncertainty across long trajectories, improving failure detection and confidence estimation for LLM agents.

Reliable uncertainty quantification (UQ) is essential for deploying large language model (LLM) agents in complex interactive environments. Existing UQ methods largely rely on local signals, such as token probabilities, predictive entropy, or per-step confidence, and therefore overlook the long-range dependencies through which errors accumulate across an execution trajectory. As a result, they may fail to identify agent failures whose causes originate several reasoning or interaction steps before the final answer. We propose RUPA (Relational Uncertainty Propagation for Agents), a trajectory-level UQ framework for LLM agents. RUPA represents an execution history as a directed trajectory graph in which reasoning states, tool interactions, and environment feedback are nodes connected by temporal and semantic dependency edges. It then propagates uncertainty over this graph to capture how execution risk accumulates and transfers across interaction steps. The propagated signal is combined with trajectory-level behavioral features and goal-alignment information to produce a confidence estimate for the full agent trajectory. We evaluate RUPA on representative agent benchmarks, including τ-2, Terminal-Bench-2, and GAIA, using 6 open-source LLMs spanning multiple model families. Experimental results show that RUPA consistently outperforms existing UQ methods by providing more accurate uncertainty estimates, enabling earlier failure detection, and improving uncertainty-guided agent execution across diverse agent tasks. These results demonstrate that explicitly modeling relational dependency is crucial to reliable UQ for long-horizon LLM agents, providing a practical foundation for trustworthy agent execution.

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Paper submitter about 6 hours ago

RUPA models LLM-agent trajectories as relational graphs and propagates uncertainty across their dependencies, yielding more accurate and earlier failure detection and better uncertainty-guided execution than existing methods across diverse agent benchmarks.

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