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New research advances reinforcement learning regret bounds and risk sensitivity

Two new research papers explore advancements in reinforcement learning for Markov Decision Processes (MDPs). One paper introduces an algorithm for multinomial logistic MDPs that achieves minimax optimal regret bounds, improving upon existing methods by incorporating a problem-dependent variance measure. The second paper focuses on risk-sensitive reinforcement learning in discounted MDPs, providing sample complexity bounds for both value and policy learning under recursive entropic risk measures, demonstrating that exponential dependence on the risk parameter is unavoidable. AI

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IMPACT These papers contribute to the theoretical foundations of reinforcement learning, potentially leading to more efficient and robust algorithms for complex decision-making tasks.

RANK_REASON Two academic papers published on arXiv detailing theoretical advancements in reinforcement learning algorithms and their theoretical guarantees.

Read on arXiv stat.ML →

COVERAGE [3]

  1. arXiv stat.ML TIER_1 · Pierre Boudart (SIERRA), Pierre Gaillard (Thoth), Alessandro Rudi (PSL, DI-ENS, Inria) ·

    Minimax Optimal Variance-Aware Regret Bounds for Multinomial Logistic MDPs

    arXiv:2605.19768v1 Announce Type: cross Abstract: We study reinforcement learning for episodic Markov Decision Processes (MDPs) whose transitions are modelled by a multinomial logistic (MNL) model. Existing algorithms for MNL mixture MDPs yield a regret of $\smash{\tilde{O}(dH^2\…

  2. arXiv stat.ML TIER_1 · Oliver Mortensen, Mohammad Sadegh Talebi ·

    Recursive Entropic Risk Optimization in Discounted MDPs: Sample Complexity Bounds with a Generative Model

    arXiv:2506.00286v3 Announce Type: replace-cross Abstract: We study risk-sensitive reinforcement learning in finite discounted MDPs with recursive entropic risk measures (ERM), where the risk parameter $\beta \neq 0$ controls the agent's risk attitude: $\beta>0$ for risk-averse an…

  3. arXiv stat.ML TIER_1 · Alessandro Rudi ·

    Minimax Optimal Variance-Aware Regret Bounds for Multinomial Logistic MDPs

    We study reinforcement learning for episodic Markov Decision Processes (MDPs) whose transitions are modelled by a multinomial logistic (MNL) model. Existing algorithms for MNL mixture MDPs yield a regret of $\smash{\tilde{O}(dH^2\sqrt{T})}$ (Li et al., 2024), where $d$ is the fea…