IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v14y2026i9p1487-d1930815.html

Reinforcement Learning Exploration Strategy Based on Performance Feedback: Asymptotic Convergence Proof and Experimental Validation

Author

Listed:
  • Zheng Chen

    (College of Sciences, Northeastern University, Shenyang 110819, China)

  • Xinhui Shao

    (College of Sciences, Northeastern University, Shenyang 110819, China)

Abstract

To address the limitations of the temperature parameter adjustment mechanism in the Soft Actor–Critic (SAC) algorithm, this paper proposes an exploration-aware SAC (EA-SAC) algorithm. First, we establish a convergence framework for the non-stationary SAC algorithm using a Prešić-type contraction to handle delayed coupling from historical feedback, and we derive the quantitative relationship between the temperature parameter and the Q-function estimation error bound. Second, we construct a policy improvement metric through reward decomposition and design a corresponding adjustment mechanism based on task performance feedback, enabling the agent to autonomously regulate its exploration intensity. Experimental results demonstrate that EA-SAC improves convergence efficiency by approximately 21.4% and 30.9% compared to two SAC variants. Furthermore, in complex environments with dynamic threats, EA-SAC achieves a 79% task completion rate and the highest overall score, significantly outperforming commonly used baseline algorithms. This research provides a novel approach to the exploration–exploitation trade-off problem in maximum entropy reinforcement learning.

Suggested Citation

  • Zheng Chen & Xinhui Shao, 2026. "Reinforcement Learning Exploration Strategy Based on Performance Feedback: Asymptotic Convergence Proof and Experimental Validation," Mathematics, MDPI, vol. 14(9), pages 1-32, April.
  • Handle: RePEc:gam:jmathe:v:14:y:2026:i:9:p:1487-:d:1930815
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/14/9/1487/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/14/9/1487/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:14:y:2026:i:9:p:1487-:d:1930815. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.