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    Robust reinforcement learning (RRL) now extends to continuous spaces. New algorithms ensure robust policies by optimizing worst-case performance, overcoming limitations of tabular methods.

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    Area of Science:

    • Artificial Intelligence
    • Machine Learning
    • Control Theory

    Background:

    • Robust reinforcement learning (RRL) optimizes policies against worst-case scenarios within an uncertainty set of Markov decision processes (MDPs).
    • Current RRL methods are limited to tabular settings, hindering application in complex, continuous state/action spaces.
    • Real-world deployment faces challenges due to potential mismatches between training simulations and actual environments.

    Purpose of the Study:

    • To extend robust reinforcement learning algorithms to continuous state and action spaces.
    • To develop a novel RRL approach that guarantees improved robustness compared to existing methods.
    • To address the limitations of current RRL techniques in handling complex environments.

    Main Methods:

    • Constructed an elaborated uncertainty set of plausible perturbed MDPs.
    • Proposed adjacent robust Q-learning (ARQ-Learning) for tabular settings with finite-time error bounds.
    • Introduced a dual-agent approach with a pessimistic agent to enable extension to continuous spaces.

    Main Results:

    • ARQ-Learning demonstrates convergence comparable to Q-learning and Robust-Q, with enhanced robustness guarantees.
    • The novel dual-agent method successfully extends model-free RRL to continuous state/action spaces for the first time.
    • Experimental validation confirmed the effectiveness of the proposed algorithms in continuous environments.

    Conclusions:

    • The developed RRL algorithms effectively handle continuous state/action spaces, a significant advancement over prior work.
    • The dual-agent approach provides a robust solution for optimizing policies in complex, uncertain environments.
    • This research opens new avenues for applying robust reinforcement learning in real-world applications with continuous dynamics.