Position: agentic AI orchestration should be Bayes-consistent
Theodore Papamarkou, Pierre Alquier, Matthias Bauer, Wray Buntine, Andrew Davison, Gintare Karolina Dziugaite, Maurizio Filippone, Andrew Y. K. Foong, Vincent Fortuin, Dimitris Fouskakis, Jes Frellsen, Eyke H\"ullermeier, Theofanis Karaletsos, Mohammad Emtiyaz Khan

TL;DR
This paper advocates for Bayesian principles in the control layer of agentic AI systems to improve decision-making under uncertainty, emphasizing practical design patterns for better AI orchestration.
Contribution
It argues that Bayesian decision theory should guide the orchestration layer of agentic AI, not necessarily the LLMs themselves, and provides practical design insights.
Findings
Bayesian control can improve belief calibration in AI orchestration.
Calibrated beliefs and utility-aware policies enhance decision-making.
Practical design patterns for Bayesian agentic AI are proposed.
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…
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