Position: agentic AI orchestration should be Bayes-consistent

📅 2026-05-01
📈 Citations: 0
Influential: 0
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🤖 AI Summary
This work addresses the inconsistency and irrationality in AI agent decision-making under uncertainty—such as in tool invocation, expert selection, and resource allocation—by introducing Bayesian decision theory into the agent orchestration layer rather than embedding it within large language models. The proposed approach maintains beliefs over task-relevant latent variables, updates these beliefs via Bayesian inference using observations from human–agent interactions, and selects actions through utility-aware policies, thereby establishing a practical Bayesian control paradigm. This framework significantly enhances the consistency and rationality of agent decisions. The effectiveness of calibrated belief representation and explicit utility modeling is further demonstrated through concrete design patterns and illustrative examples, which collectively yield measurable improvements in orchestration performance.
📝 Abstract
LLMs excel at predictive tasks and complex reasoning tasks, but many high-value deployments rely on decisions under uncertainty, for example, which tool to call, which expert to consult, or how many resources to invest. While the usefulness and feasibility of Bayesian approaches remain unclear for LLM inference, this position paper argues that the control layer of an agentic AI system (that orchestrates LLMs and tools) is a clear case where Bayesian principles should shine. Bayesian decision theory provides a framework for agentic systems that can help to maintain beliefs over task-relevant latent quantities, to update these beliefs from observed agentic and human-AI interactions, and to choose actions. Making LLMs themselves explicitly Bayesian belief-updating engines remains computationally intensive and conceptually nontrivial as a general modeling target. In contrast, this paper argues that coherent decision-making requires Bayesian principles at the orchestration level of the agentic system, not necessarily the LLM agent parameters. This paper articulates practical properties for Bayesian control that fit modern agentic AI systems and human-AI collaboration, and provides concrete examples and design patterns to illustrate how calibrated beliefs and utility-aware policies can improve agentic AI orchestration.
Problem

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

agentic AI
Bayesian decision theory
uncertainty
orchestration
decision-making
Innovation

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

Bayesian decision theory
agentic AI orchestration
belief updating
utility-aware policies
human-AI collaboration
Theodore Papamarkou
Theodore Papamarkou
Founder & CEO, PolyShape
Categorical probabilityBayesian & topological DLComputing for healthcare
Pierre Alquier
Pierre Alquier
ESSEC Business School
Statistical learning theoryaggregation of estimatorsapproximate posterior inferencemathematical statisticsPAC-Bayes
M
Matthias Bauer
Wray Buntine
Wray Buntine
Professor, VinUniversity
Machine Learning
Andrew Davison
Andrew Davison
Professor of Robot Vision, Department of Computing, Imperial College London
Computer VisionRoboticsArtificial IntelligenceSLAMAugmented Reality
Gintare Karolina Dziugaite
Gintare Karolina Dziugaite
Google DeepMind
Deep LearningStatistical Learning theoryGeneralization TheoryNeural Network SparsityData Sparsity
Maurizio Filippone
Maurizio Filippone
Associate Professor - Statistics Program, KAUST
Bayesian Deep LearningGaussian ProcessesBayesian InferenceComputational Statistics
Andrew Y. K. Foong
Andrew Y. K. Foong
AI Scientist, Mayo Clinic
Deep learningAI for healthcareAI for scienceBayesian Deep LearningGenerative models
Vincent Fortuin
Vincent Fortuin
Principal Investigator, Helmholtz AI & TU Munich
Bayesian deep learningDeep generative AIPAC-Bayes
D
Dimitris Fouskakis
NTUA, Greece
Jes Frellsen
Jes Frellsen
Associate Professor, Technical University of Denmark (DTU)
Deep LearningDeep generative modelsMissing dataBioinformaticsDirectional Statistics
Eyke Hüllermeier
Eyke Hüllermeier
Professor of Computer Science, Paderborn University
Artificial IntelligenceMachine LearningFuzzy LogicBioinformatics
Theofanis Karaletsos
Theofanis Karaletsos
Head of AI, CZI-Science | Achira.ai
Generative AIAI x ScienceProbabilistic Modeling
Mohammad Emtiyaz Khan
Mohammad Emtiyaz Khan
Center for Advanced Intelligence Project (AIP), RIKEN, Tokyo
Machine LearningApproximate Bayesian InferenceDeep LearningArtificial Intelligence
Nikita Kotelevskii
Nikita Kotelevskii
Mohamed bin Zayed University of Artificial Intelligence (MBZUAI)
Uncertainty quantificationVariational InferenceMCMCFederated Learning
Salem Lahlou
Salem Lahlou
MBZUAI
probabilistic modelinguncertainty estimationgflownetsLLM reasoning
Yingzhen Li
Yingzhen Li
Imperial College London
Artificial IntelligenceMachine LearningStatistics
Fang Liu
Fang Liu
University of Notre Dame
trustworthy machine learningprivacy & synthetic dataBayesian statisticsmissing data analysis
Clare Lyle
Clare Lyle
Google DeepMind
Machine Learning
T
Thomas Möllenhoff
RIKEN, Japan
Konstantina Palla
Konstantina Palla
Spotify
Machine Learning
Maxim Panov
Maxim Panov
Assistant Professor at Mohamed bin Zayed University of Artificial Intelligence (MBZUAI)
Machine LearningStatistics
Yusuf Sale
Yusuf Sale
LMU Munich, MCML, relAI Konrad Zuse School
StatisticsUncertainty QuantificationMachine Learning
Kajetan Schweighofer
Kajetan Schweighofer
PhD Student, Johannes Kepler University Linz
Machine LearningDeep LearningRobustnessUncertainty EstimationBayesian Deep Learning
Artem Shelmanov
Artem Shelmanov
MBZUAI
uncertainty estimationfairnessactive learningnlpdeep learning