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New framework unifies bisimulation metrics for reinforcement learning

Researchers have developed a new framework for understanding bisimulation metrics in reinforcement learning, extending their application beyond discounted Markov decision processes (MDPs) to total- and average-reward settings. This approach reframes metric operators as Bellman-Shapley operators in zero-sum games, defining metrics as game value functions. This game-theoretic foundation allows for the transfer of dynamic programming theories and algorithms, offering unique definitions even when the discount factor is one. The research also characterizes metric finiteness based on MDP structure and introduces a general framework for modifying game action spaces to recover and inspire new metric constructions, providing error and suboptimality guarantees for planning. AI

IMPACT This research provides a theoretical foundation for more robust state similarity measures in reinforcement learning, potentially improving planning and decision-making in complex, undiscounted environments.

RANK_REASON The item is an academic paper on a theoretical advancement in reinforcement learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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New framework unifies bisimulation metrics for reinforcement learning

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The item is an academic paper on a theoretical advancement in reinforcement learning. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Matthew Zurek, Yudong Chen, Josiah P. Hanna ·

    Game-Theoretic Foundations for Undiscounted Bisimulation Metrics

    arXiv:2610.38313v1 Announce Type: new Abstract: Bisimulation metrics offer a principled notion of task-relevant state similarity in reinforcement learning, but existing constructions and methods are largely confined to discounted MDPs, where contraction arguments ensure well-defi…