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    Correcting nuclear mass models with interpretable machine learning to bridge theory and data

    Yanhua Lu, Tianshuai Shang, Pengxiang Du, and Jian Li*

    Haozhao Liang

    • *Contact author: jianli@jlu.edu.cn

    Phys. Rev. C 114, 034310 – Published 8 September, 2026

    DOI: https://doi.org/10.1103/yjnd-vgjr

    Abstract

    Nuclear mass prediction is one of the core issues in nuclear physics research, yet it faces the challenge of small-sample datasets with high complexity. This study introduces the Kolmogorov-Arnold network (KAN) into the refinement of nuclear mass models, proposing an efficient and interpretable solution. By constructing the KAN-WS4 hybrid model, the prediction accuracy is significantly improved (the root-mean-square error is reduced from 0.3 MeV to 0.16 MeV). Furthermore, leveraging the intrinsic interpretability of KAN, feature-importance analysis reveals that the proton number is the most critical factor influencing residuals, indicating potential systematic biases in proton-related terms within existing theoretical models. The method's generality is demonstrated across five mass models. This study shows that KAN provides a novel approach to small-sample, high-complexity scientific problems. Its interpretability facilitates the data-driven discovery of physical laws, promising broad applicability to key nuclear physics issues.

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