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Runtime Uncertainty Monitoring for LLM-Based Multi-Agent Systems Using Bayesian Networks

Bart Custers, Koorosh Aslansefat

Published Jul 30, 2026Featured #7In the daily list Jul 31, 2026
Daily score61.2
Editorial review6.8
Relevance0.485
Freshness0.722

Why It Matters

What makes this one worth your time

Understanding and managing uncertainty in LLM-based systems is crucial for high-stakes applications like actuarial risk modeling, where errors can have significant consequences.

A framework for runtime uncertainty monitoring in LLM-based multi-agent systems using Bayesian Networks.

Summary

The paper proposes a framework for monitoring runtime uncertainty in multi-agent systems that utilize large language models, specifically for actuarial risk modeling. It introduces a method for uncertainty propagation using token-level log-probabilities and Bayesian Networks, transforming these into calibrated task-level confidence estimates.

Key contributions

  • A novel approach to uncertainty propagation using token-level log-probabilities.
  • Integration of Bayesian Networks for runtime uncertainty monitoring in multi-agent systems.

Notable insights

  • The use of token-level log-probabilities transformed into calibrated confidence estimates is a novel approach to uncertainty quantification.
  • Incorporating Bayesian Networks for uncertainty propagation in multi-agent systems is a clever integration of probabilistic reasoning.

Possible limitations

  • Not stated in the abstract

Abstract

arXiv:2607.25877v1 Announce Type: new Abstract: This paper investigates how multi-agent systems (MAS)-based on large language models (LLMs) can support actuarial risk modelling, with a particular focus on uncertainty quantification. Actuarial workflows represent a high-stakes decision-support setting where unreliable outputs may lead to incorrect risk assessment, unfair pricing, and regulatory non-compliance. To address uncertainty introduced by the probabilistic nature of LLMs and dependencies between agents, a multi-agent framework is proposed in which specialised agents perform data preparation, modelling, review, and explanation tasks under a central hub. The main contribution is a novel approach to uncertainty propagation using token-level log-probabilities and a Bayesian Network. Importantly, log probabilities are not treated as direct probabilities of correctness or task success. Instead, length-normalised log-probability summaries are transformed into calibrated task-level confidence estimates before incorporation into the Bayesian Network. Results show that the framework reproduces baseline actuarial performance while providing additional insight into workflow stability and runtime uncertainty propagation.