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Paper · arXiv

Posterior-Averaged Bellman Flow Matching for Distributional Critics

Distributional critics model the full return distribution, providing richer signals for exploration and risk-sensitive control. Recent work has shown that flow-based critics can model these distributions flexibly and provide effective supervision across flow time for temporal-difference learning. However, unlike standard flow matching with fixed data endpoints, a flow critic is trained on Bellman targets recursively generated by a learned target critic under the current policy. Existing objectives therefore either use noisy single-endpoint supervision or rely on the learned flow itself for additional guidance. Our key observation is that an intermediate bridge state may be compatible with...

AuthorsZeqiao Li, Yijing Wang, Haoyu Wang et al.
Primary categorycs.LG
Published13 October 2026
Last updated at source13 October 2026
cs.LGcs.AI
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