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    This study introduces a novel instance weighting framework for transfer learning in genetic programming (GP) for symbolic regression. The method enhances model generalization and reduces overfitting by intelligently selecting source domain data.

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    Area of Science:

    • Machine Learning
    • Artificial Intelligence
    • Computational Intelligence

    Background:

    • Transfer learning enhances model performance by leveraging knowledge from similar domains.
    • Limited research exists on transfer learning within genetic programming (GP) for symbolic regression tasks.
    • Existing methods often struggle with effective knowledge transfer and generalization.

    Purpose of the Study:

    • To propose a new instance weighting framework for transfer learning in genetic programming-based symbolic regression.
    • To improve the identification and utilization of relevant source-domain data for enhanced learning.
    • To effectively address the challenge of cross-domain generalization and overfitting in symbolic regression.

    Main Methods:

    • Developed a novel instance weighting framework for transfer learning in GP.
    • Employed differential evolution to optimize weights for source-domain instances.
    • Utilized density estimation for effective instance selection and to guide weight optimization.

    Main Results:

    • The proposed method significantly improved cross-domain generalization performance and stability.
    • Effectively reduced the trend of overfitting compared to baseline methods.
    • Evolved simpler symbolic regression models than traditional GP approaches.

    Conclusions:

    • The proposed instance weighting framework offers a robust solution for transfer learning in GP symbolic regression.
    • This approach enhances model performance, generalization, and simplicity.
    • It effectively addresses limitations in current transfer learning applications within GP.