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Learning Infinite-horizon Average-reward Markov Decision Process with Constraints

ICML 2022 · Bandits and online learning › RL theory and MDPs · approach: Average-reward and latent MDPs · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use policy optimization with a bounded-scale action-value estimator and an exploration bonusErgodic CMDPs · Ergodic CMDPsregret: \tilo{T^{2/3}} -> \tilo{\sqrt{T}}Helped
Use policy optimization with a bounded-scale action-value estimator and an exploration bonusErgodic CMDPs · Ergodic CMDPsconstraint violation: \tilo{T^{2/3}} -> constantHelped
Add span constraints on reward and cost value functions (ablation)Finite Horizon Approximation for CMDP · Weakly communicating CMDPsregret: \tilO{ (1+\text{\rm sp}^\star_r)(S^2A)^{1/3}T^{2/3} } -> \tilo{ \text{\rm sp}^\star_r S\sqrt{AT} }Helped
Add span constraints on reward and cost value functions (ablation)Finite Horizon Approximation for CMDP · Weakly communicating CMDPsconstraint violation: \tilO{ (1+\text{\rm sp}^\star_c)(S^2A)^{1/3}T^{2/3} } -> \tilo{ \text{\rm sp}^\star_c S\sqrt{AT} }Helped

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