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Bicriteria Policy Optimization for High-Accuracy Reinforcement Learning.

Guojian Zhan, Xiangteng Zhang, Feihong Zhang

    IEEE Transactions on Neural Networks and Learning Systems
    |September 9, 2025
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    Summary
    This summary is machine-generated.

    This study introduces bicriteria policy optimization (BPO) for reinforcement learning (RL). BPO uses demonstration trajectories to improve policy approximation accuracy in complex control tasks, enhancing performance over standard methods.

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    Area of Science:

    • Robotics and Control Systems
    • Artificial Intelligence
    • Machine Learning

    Background:

    • Reinforcement learning (RL) approximates optimal policies using neural networks (NNs) for optimal control problems (OCPs).
    • Policy approximation accuracy is often limited in complex tasks due to rugged and flat value function landscapes, hindering convergence.
    • Existing methods struggle with satisfactory control performance compared to online optimal controllers.

    Purpose of the Study:

    • To develop a novel algorithm, bicriteria policy optimization (BPO), to enhance policy approximation accuracy in RL.
    • To address the limitations of standard RL by incorporating optimal demonstration trajectories.
    • To improve control performance in complex tasks by guiding policy search at the gradient level.

    Main Methods:

    • BPO formulates a bicriteria optimal control problem (OCP) with two objectives: standard reward signals and alignment with demonstration trajectories.
    • Introduced two co-state variables and two Hamiltonians to preserve minimum values for both objectives.
    • Developed a minimax optimization problem to resolve gradient conflicts, resulting in a 'harmonic gradient' for policy updates.
    • Simplified the optimization into a single-loop maximization problem via linear programming with convex trust region constraints.

    Main Results:

    • The bicriteria OCP formulation and harmonic gradient approach effectively guide policy search.
    • The algorithm successfully minimizes conflicts between the two homomorphic objectives.
    • Experimental tests on linear and nonlinear control tasks demonstrated significant accuracy improvements in the policy network.

    Conclusions:

    • BPO algorithm enhances the accuracy of policy approximation in reinforcement learning.
    • Leveraging demonstration trajectories provides a powerful mechanism for improving control performance.
    • The proposed method offers a computationally efficient and effective solution for complex control problems.