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Nuclear masses are predicted with the Bayesian neural networks by learning the mass surface of even-even nuclei and the correlation energies to their neighbouring nuclei. By keeping the known physics in various sophisticated mass models and…

Nuclear Theory · Physics 2022-08-10 Z. M. Niu , H. Z. Liang

Machine learning methods and uncertainty quantification have been gaining interest throughout the last several years in low-energy nuclear physics. In particular, Gaussian processes and Bayesian Neural Networks have increasingly been…

Nuclear Theory · Physics 2022-07-27 A. E. Lovell , A. T. Mohan , T. M. Sprouse , M. R. Mumpower

Background: The masses of about 2500 nuclei have been measured experimentally, however more than 7000 isotopes are predicted to exist in the nuclear landscape from H (Z=1) to Og (Z=118) based on various theoretical calculations. Exploring…

Nuclear Theory · Physics 2023-11-17 Zepeng Gao , Yongjia Wang , Hongliang Lü , Qingfeng Li , Caiwan Shen , Ling Liu

Machine learning offers a powerful framework for validating and predicting atomic mass. We compare three improved neural network methods for representation and extrapolation for atomic mass prediction. The powerful method, adopting a…

Nuclear Theory · Physics 2025-03-18 Yiming Huang , Jinhui Chen , Jiangyong Jia , Lu-Meng Liu , Yu-Gang Ma , Chunjian Zhang

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.…

Nuclear Theory · Physics 2025-09-11 H. X. Liu , S. Manzhos , X. H. Wu

We introduce a robust, interpretable machine learning (ML) framework that combines numerical regression for high-accuracy predictions with symbolic regression to uncover the underlying physics. This hybrid approach effciently derives…

Nuclear Theory · Physics 2025-12-09 B. Maheshwari , P. Van Isacker

Advances in statistical learning theory present the opportunity to develop statistical models of quantum many-body systems exhibiting remarkable predictive power. The potential of such ``theory-thin'' approaches is illustrated with the…

Nuclear Theory · Physics 2008-11-26 John W. Clark , Haochen Li

We have made initial studies of the potential of support vector machines (SVM) for providing statistical models of nuclear systematics with demonstrable predictive power. Using SVM regression and classification procedures, we have created…

Nuclear Theory · Physics 2007-05-23 Haochen Li , J. W. Clark , E. Mavrommatis , S. Athanassopoulos , K. A. Gernoth

The mass, or binding energy, is the basis property of the atomic nucleus. It determines its stability, and reaction and decay rates. Quantifying the nuclear binding is important for understanding the origin of elements in the universe. The…

Nuclear Theory · Physics 2018-10-03 Léo Neufcourt , Yuchen Cao , Witold Nazarewicz , Frederi Viens

We present global predictions of the ground state mass of atomic nuclei based on a novel Machine Learning (ML) algorithm. We combine precision nuclear experimental measurements together with theoretical predictions of unmeasured nuclei.…

Nuclear Theory · Physics 2023-04-19 M. R. Mumpower , M. Li , T. M. Sprouse , B. S. Meyer , A. E. Lovell , A. T. Mohan

Nuclear materials are often demanded to function for extended time in extreme environments, including high radiation fluxes and transmutation, high temperature and temperature gradients, stresses, and corrosive coolants. They also have a…

Materials Science · Physics 2022-11-18 Dane Morgan , Ghanshyam Pilania , Adrien Couet , Blas P. Uberuaga , Cheng Sun , Ju Li

Numerous phenomenological nuclear models have been proposed to describe specific observables within different regions of the nuclear chart. However, developing a unified model that describes the complex behavior of all nuclei remains an…

Nuclear Theory · Physics 2025-05-14 Jose M. Munoz , Silviu M. Udrescu , Ronald F. Garcia Ruiz

The global behavior of the nuclear equation of state (EoS) is commonly studied using data from finite nuclei (FN), heavy-ion collisions, and astrophysical observations of neutron stars (NS). The constraints derived from FN such as binding…

Nuclear Theory · Physics 2026-04-10 Anagh Venneti , Chiranjib Mondal , Sk Md Adil Imam , Sarmistha Banik , Bijay K. Agrawal

Ab-initio calculations of nuclear masses, the binding energy and the $\alpha$ decay half-lives are intractable for heavy nucleus, because of the curse of dimensionality in many body quantum simulations as proton number($\mathrm{N}$) and…

Nuclear Theory · Physics 2022-06-29 Chen-Qi Li , Chao-Nan Tong , Hong-Jing Du , Long-Gang Pang

A convolutional neural network (CNN) is employed to investigate nuclear mass. By introducing the masses of neighboring nuclei and the paring effects at the input layer of the network, local features of the target nucleus are extracted to…

Nuclear Theory · Physics 2025-09-29 Yanhua Lu , Tianshuai Shang , Pengxiang Du , Jian Li , Haozhao Liang , Zhongming Niu

The rise of machine learning (ML) has created an explosion in the potential strategies for using data to make scientific predictions. For physical scientists wishing to apply ML strategies to a particular domain, it can be difficult to…

Predicting nuclear masses is a longstanding challenge. One path forward is machine learning (ML) which trains on experimental data, but can suffer large errors when extrapolating toward neutron-rich species. In nature, such masses shape…

Solar and Stellar Astrophysics · Physics 2025-06-10 Mengke Li , Matthew Mumpower , Nicole Vassh , William Samuel Porter , Rebecca Surman

Over the past decade inter-atomic potentials based on machine-learning (ML) techniques have become an indispensable tool in the atomic-scale modeling of materials. Trained on energies and forces obtained from electronic-structure…

Materials Science · Physics 2022-08-15 Michele Ceriotti

After more than 80 years from the seminal work of Weizs\"acker and the liquid drop model of the atomic nucleus, deviations from experiments of mass models ($\sim$ MeV) are orders of magnitude larger than experimental errors ($\lesssim$…

Nuclear Theory · Physics 2021-01-04 Andrea Idini

The binding energy (BE) or mass is one of the most fundamental properties of an atomic nucleus. Precise binding energies are vital inputs for many nuclear physics and nuclear astrophysics studies. However, due to the complexity of atomic…

Nuclear Theory · Physics 2022-10-07 Lin-Xing Zeng , Yu-Ying Yin , Xiao-Xu Dong , Li-Sheng Geng
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