BayesFlow: A Probability Inference Framework for Meta-Agent Assisted Workflow Generation

Bo Yuan, Yun Zhou, Zhichao Xu, Kiran Ramnath, Aosong Feng, Balasubramaniam Srinivasan


Abstract
Automatic workflow generation is the process of automatically synthesizing sequences of LLM calls, tool invocations, and post-processing steps for complex end-to-end tasks. Most prior methods cast this task as an optimization problem with limited theoretical grounding. We propose to cast workflow generation as Bayesian inference over a posterior distribution on workflows, and introduce Bayesian Workflow Generation (BWG), a sampling framework that builds workflows step-by-step using parallel look-ahead rollouts for importance weighting and a sequential in-loop refiner for pool-wide improvements. We prove that, without the refiner, the weighted empirical distribution converges to the target posterior. We instantiate BWG as BayesFlow, a training-free algorithm for workflow construction. Across six benchmark datasets, BayesFlow improves accuracy by up to 9 percentage points over SOTA workflow generation baselines and by up to 65 percentage points over zero-shot prompting, establishing BWG as a principled upgrade to search-based workflow design.
Anthology ID:
2026.findings-eacl.165
Volume:
Findings of the Association for Computational Linguistics: EACL 2026
Month:
March
Year:
2026
Address:
Rabat, Morocco
Editors:
Vera Demberg, Kentaro Inui, Lluís Marquez
Venue:
Findings
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Publisher:
Association for Computational Linguistics
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Pages:
3151–3179
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URL:
https://preview.aclanthology.org/ingest-eacl/2026.findings-eacl.165/
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Cite (ACL):
Bo Yuan, Yun Zhou, Zhichao Xu, Kiran Ramnath, Aosong Feng, and Balasubramaniam Srinivasan. 2026. BayesFlow: A Probability Inference Framework for Meta-Agent Assisted Workflow Generation. In Findings of the Association for Computational Linguistics: EACL 2026, pages 3151–3179, Rabat, Morocco. Association for Computational Linguistics.
Cite (Informal):
BayesFlow: A Probability Inference Framework for Meta-Agent Assisted Workflow Generation (Yuan et al., Findings 2026)
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