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    Nuclear mass predictions using a neural network with additive Gaussian process regression-optimized activation functions

    Hui-Xin Liu (刘辉鑫)1, Sergei Manzhos2, and Xin-Hui Wu (吴鑫辉)1,*

    • *Contact author: wuxinhui@fzu.edu.cn

    Phys. Rev. C 113, 014305 – Published 7 January, 2026

    DOI: https://doi.org/10.1103/4qqn-ry4n

    Abstract

    Nuclear masses are machine-learned as a function of proton and neutron numbers. The neural network with additive Gaussian process regression-optimized activation functions (GPR-NN) method is employed for the first time for this purpose. GPR-NN combines the advantages of both neural networks and Gaussian process regression, in that it possesses the expressive power of a NN, in principle allowing modeling any kind of dependence of nuclear mass on the features, and robustness of a linear regression against overfitting. A study of the GPR-NN approach for interpolation and extrapolation in nuclear mass predictions is presented. It is found that the optimal hyperparameters for the GPR-NN approach in interpolation and extrapolation are different. If an appropriate set of hyperparameters is adopted, the GPR-NN approach can achieve good extrapolation performance for nuclear mass prediction, which could potentially help improve the mass predictions of a large number of currently experimentally unknown nuclei.

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