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    We introduce an action candidate-based clipped double estimator (AC-CDE) to reduce underestimation bias in Double Q-learning for Markov decision processes. This method improves performance in stochastic environments by refining action value estimation.

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    Area of Science:

    • Reinforcement Learning
    • Machine Learning
    • Artificial Intelligence

    Background:

    • Double Q-learning is a key algorithm for Markov decision process (MDP) problems.
    • Clipped double Q-learning uses a clipped double estimator, but can suffer from underestimation bias in stochastic environments.

    Purpose of the Study:

    • To propose an action candidate-based clipped double estimator (AC-CDE) to mitigate underestimation bias in Double Q-learning.
    • To enhance the performance of Double Q-learning in stochastic environments.

    Main Methods:

    • Developed an AC-CDE by selecting elite action candidates from one set of estimators and choosing the highest value action from another.
    • The AC-CDE clips the action value using the maximum value from the second estimator set.
    • Extended the approach to continuous action tasks by approximating elite continuous action candidates.

    Main Results:

    • Theoretically demonstrated that underestimation bias decreases monotonically with fewer action candidates.
    • Showcased that the number of action candidates balances overestimation and underestimation biases.
    • Empirically validated improved estimation accuracy on toy environments and strong performance on benchmark problems.

    Conclusions:

    • The proposed AC-CDE effectively reduces underestimation bias in Double Q-learning.
    • The method offers a tunable trade-off between overestimation and underestimation biases.
    • The algorithm shows promise for both discrete and continuous action space reinforcement learning tasks.