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    This study introduces an actor-critic reinforcement learning (RL) approach to enhance evolutionary algorithms for multimodal multiobjective optimization problems (MMOPs). The method improves adaptability by dynamically optimizing niche size, balancing diversity and convergence for better performance.

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    Area of Science:

    • Computational Intelligence
    • Optimization Algorithms
    • Machine Learning

    Background:

    • Multimodal multiobjective optimization problems (MMOPs) demand a balance between diversity and convergence.
    • Traditional algorithms exhibit limited adaptability in environmental selection, hindering performance on diverse MMOPs.

    Purpose of the Study:

    • To enhance environmental selection adaptability in evolutionary algorithms for MMOPs.
    • To introduce a novel approach integrating actor-critic reinforcement learning (RL) with evolutionary algorithms.

    Main Methods:

    • Developed an RL process to dynamically optimize niche size, balancing diversity and convergence preferences.
    • Defined state (convergence/diversity measures), action (niche size adjustment), and reward (state improvement).
    • Employed actor and critic neural networks for real-time online learning and adaptive niching.

    Main Results:

    • The proposed algorithm demonstrated superior performance against ten state-of-the-art methods across 48 benchmark problems and a real-world application.
    • Achieved significant improvements in maintaining the balance between diversity and convergence.
    • Showcased enhanced overall optimization effectiveness compared to existing algorithms.

    Conclusions:

    • The integration of actor-critic RL with evolutionary algorithms significantly improves environmental selection adaptability for MMOPs.
    • Adaptive niching technology, combined with local convergence assessment, provides a comprehensive evaluation of optimization.
    • The proposed method offers a robust and effective solution for complex optimization challenges.