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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

Constructing the outer crust of the neutron stars requires the knowledge of the Binding Energy (BE) of the atomic nuclei. Although the BE of a lot of the nuclei is experimentally determined and can be obtained from the AME data table, for…

Computational Physics · Physics 2022-04-21 Murarka Utsav Anil , Kinjal Banerjee , Tuhin Malik , Constança Providência

The kernel ridge regression (KRR) approach is extended to include the odd-even effects in nuclear mass predictions by remodulating the kernel function without introducing new weight parameters and inputs in the training network. By taking…

Nuclear Theory · Physics 2021-06-03 X. H. Wu , L. H. Guo , P. W. Zhao

Nuclear astrophysics centers on the role of nuclear physics in the cosmos. In particular, nuclear masses at the limits of stability are critical in the development of stellar structure and the origin of the elements. In this contribution we…

Nuclear Theory · Physics 2018-01-24 R. Utama , J. Piekarewicz

Nuclear masses are of great importance in nuclear physics and astrophysics. Descriptive experimental data on nuclear masses and the prediction of unknown masses based on residual proton-neutron interactions are a focus in nuclear physics.…

Nuclear Theory · Physics 2020-05-18 B. B. Jiao

Mass is a fundamental property and an important fingerprint of atomic nucleus. It provides an extremely useful test ground for nuclear models and is crucial to understand energy generation in stars as well as the heavy elements synthesized…

Nuclear Theory · Physics 2018-07-17 Zhongming Niu , Haozhao Liang , Baohua Sun , Yifei Niu , Jianyou Guo , Jie Meng

Data-driven methods based on machine learning have the potential to accelerate computational analysis of atomic structures. In this context, reliable uncertainty estimates are important for assessing confidence in predictions and enabling…

Machine Learning · Computer Science 2021-11-04 Jonas Busk , Peter Bjørn Jørgensen , Arghya Bhowmik , Mikkel N. Schmidt , Ole Winther , Tejs Vegge

With the help of radial basis function (RBF) and the Garvey-Kelson relation, the accuracy and predictive power of some global nuclear mass models are significantly improved. The rms deviation between predictions from four models and 2149…

Nuclear Theory · Physics 2011-11-18 Ning Wang , Min Liu

The distribution of electric charge in atomic nuclei is fundamental to our understanding of the complex nuclear dynamics and a quintessential observable to validate nuclear structure models. We explore a novel approach that combines…

Nuclear Theory · Physics 2016-10-19 Raditya Utama , Wei-Chia Chen , Jorge Piekarewicz

A novel machine learning approach is used to provide further insight into atomic nuclei and to detect orderly patterns amidst a vast data of large-scale calculations. The method utilizes a neural network that is trained on ab initio results…

Nuclear Theory · Physics 2022-03-14 O. M. Molchanov , K. D. Launey , A. Mercenne , G. H. Sargsyan , T. Dytrych , J. P. Draayer

Infinite nuclear matter provides valuable insights into the behavior of nuclear systems and aids our understanding of atomic nuclei and large-scale stellar objects such as neutron stars. However, partly due to the large basis needed to…

Nuclear Theory · Physics 2024-12-31 Julie Butler , Morten Hjorth-Jensen , Gustav R. Jansen

In this study, a novel quantum-inspired Bayesian probability (QIBP) algorithm, informed by quantum dynamics, is proposed to improve the predictions of nuclear mass from theoretical models. Within the QIBP framework, residuals between the…

Nuclear Theory · Physics 2025-12-23 Kaizhong Tan , Jian Liu , Chuan Wang

Due to the growing adoption of deep neural networks in many fields of science and engineering, modeling and estimating their uncertainties has become of primary importance. Despite the growing literature about uncertainty quantification in…

Machine Learning · Computer Science 2023-02-15 Brian Staber , Sébastien Da Veiga

New global statistical models of nuclidic (atomic) masses based on multilayered feedforward networks are developed. One goal of such studies is to determine how well the existing data, and only the data, determines the mapping from the…

Nuclear Theory · Physics 2008-11-26 S. Athanassopoulos , E. Mavrommatis , K. A. Gernoth , J. W. Clark

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

Taking into account nucleon-nucleon gravitational interaction, higher-order terms of symmetry energy, pairing interaction, and neural network corrections, a new BW4 mass model has been developed, which more accurately reflects the…

Nuclear Theory · Physics 2024-09-23 Jin Li , Hang Yang

We present here the mass excesses, binding energies, one- and two- neutron, one and two- proton and \alpha-particle separation energies of 6727 nuclei in the ranges 4 \leq Z \leq 120 and 8 \leq A \leq 303 calculated in the infinite nuclear…

Nuclear Theory · Physics 2015-06-11 R. C. Nayak , L. Satpathy

The Garvey-Kelson relations are used in an iterative process to predict nuclear masses in the neighborhood of nuclei with measured masses. Average errors in the predicted masses for the first three iteration shells are smaller than those…

Nuclear Theory · Physics 2009-08-17 Irving O. Morales , J. C. López Vieyra , J. G. Hirsch , A. Frank

The new generation of galaxy surveys will provide unprecedented data allowing us to test gravity at cosmological scales. A robust cosmological analysis of the large-scale structure demands exploiting the nonlinear information encoded in the…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-13 Jorge Enrique García-Farieta , Héctor J Hortúa , Francisco-Shu Kitaura

Exact calculation of electronic properties of molecules is a fundamental step for intelligent and rational compounds and materials design. The intrinsically graph-like and non-vectorial nature of molecular data generates a unique and…

Chemical Physics · Physics 2019-10-29 Alain Tchagang , Julio Valdés