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Statistical modeling of nuclear data using artificial neural networks (ANNs) and, more recently, support vector machines (SVMs), is providing novel approaches to systematics that are complementary to phenomenological and semi-microscopic…

Nuclear Theory · Physics 2009-09-29 N. Costiris , E. Mavrommatis , K. A. Gernoth , J. W. Clark

Statistical modeling of nuclear data provides a novel approach to nuclear systematics complementary to established theoretical and phenomenological approaches based on quantum theory. Continuing previous studies in which global statistical…

Nuclear Theory · Physics 2009-11-06 N. J. Costiris , E. Mavrommatis , K. A. Gernoth , J. W. Clark

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

Purpose: Our objective is to apply an improved statistical global model of beta^- decay half-life systematics [1] generated by machine-learning techniques to the prediction of beta half-lives relevant to r-process nuclei. The primary aim of…

Nuclear Theory · Physics 2013-09-04 N. J. Costiris , E. Mavrommatis , K. A. Gernoth , J. W. Clark

Artificial neural networks are trained by a standard backpropagation learning algorithm with regularization to model and predict the systematics of -decay of heavy and superheavy nuclei. This approach to regression is implemented in two…

Nuclear Theory · Physics 2019-10-29 Paulo S. A. Freitas , John W. Clark

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

Nuclear $\beta$ decay is a key process to understand the origin of heavy elements in the universe, while the accuracy is far from satisfactory for the predictions of $\beta$-decay half-lives by nuclear models up to date. In this letter, we…

Nuclear Theory · Physics 2019-06-12 Z. M. Niu , H. Z. Liang , B. H. Sun , W. H. Long , Y. F. Niu

Statistical modeling of data sets by neural-network techniques is offered as an alternative to traditional semiempirical approaches to global modeling of nuclear properties. New results are presented to support the position that such novel…

Nuclear Theory · Physics 2017-08-23 J. W. Clark , E. Mavrommatis , S. Athanassopoulos , A. Dakos , K. Gernoth

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

Based on Extreme Gradient Boosting (XGBoost) framework optimized via Bayesian hyperparameter tuning, we investigated the {\alpha}-decay energy and half-life of superheavy nuclei. By incorporating key nuclear structural features-including…

The non-parametric bootstrap method is used to evaluate the uncertainties of two $\alpha$ decay formulas, the universal decay law (UDL) and the new Geiger-Nuttall law (NGNL). Such a method can simultaneously obtain the uncertainty of each…

Nuclear Theory · Physics 2020-05-20 Boshuai Cai , Guangshang Chen , Jiongyu Xu , Cenxi Yuan , Chong Qi , Yuan Yao

We combine nonlocal effects with Bayesian Neural Network (BNN) methods to enhance the prediction accuracy of $\alpha$ decay half-lives. The results indicate that accounting for nonlocal effects significantly impacts the half-life…

Nuclear Theory · Physics 2025-10-17 Xuanpeng Xiao , Panpan Qi , Gongming Yu , Haitao Yang , Qiang Hu

$\alpha$ decay is an important probe for studying the structure of heavy and superheavy nuclei, in which the $\alpha$-particle preformation ($P_{\alpha}$) is a key physical quantity for describing decay half-lives. This work develops a…

Nuclear Theory · Physics 2026-03-10 Xiao-Yan Zhu , Heng-Jian Si-Tu , Hao Zhang , Wei Gao , Wen-Bin Lin , Xiao-Hua Li

In recent years, artificial neural network (ANN) has been successfully applied in nuclear physics and some other areas of physics. This study begins with the calculations of {\alpha}-decay half-lives for some neutron-deficient nuclei using…

Nuclear Theory · Physics 2022-02-01 A. A. Saeed , W. A. Yahya , O. K. Azeez

When training data are limited, data-driven models are especially vulnerable to optimization-related fluctuations from random initialization and to sampling-induced bias from insufficient training data. We address both challenges with…

Nuclear Theory · Physics 2026-03-31 Yinu Zhang , Zhiyi Li , Kele Li , Jiaxuan Zhong , Cenxi Yuan

Half-life estimates for neutrinoless double beta decay depend on particle physics models for lepton flavor violation, as well as on nuclear physics models for the structure and transitions of candidate nuclei. Different models considered in…

High Energy Physics - Phenomenology · Physics 2009-09-02 G. L. Fogli , E. Lisi , A. M. Rotunno

The analysis of tabular datasets is highly prevalent both in scientific research and real-world applications of Machine Learning (ML). Unlike many other ML tasks, Deep Learning (DL) models often do not outperform traditional methods in this…

Machine Learning · Computer Science 2024-08-28 Assaf Shmuel , Oren Glickman , Teddy Lazebnik

$Q_\beta$ represents one of the most important factors characterizing unstable nuclei, as it can lead to a better understanding of nuclei behavior and the origin of heavy atoms. Recently, machine learning methods have been shown to be a…

Nuclear Theory · Physics 2023-03-29 Jose M. Munoz , Serkan Akkoyun , Zayda P. Reyes , Leonardo A. Pachon

The predictabilities of the three alpha-decay half-life formulae, the Royer GLDM, the Viola-Seaborg and the Sobiczewski-Parkhomenko formulae, have been evaluated by developing a method based on the ansatz of standard experimental…

Nuclear Experiment · Physics 2009-12-17 N. Dasgupta-Schubert , M. A. Reyes , V. A. Tamez

Theoretical decay half-lives of the heaviest odd-Z nuclei are calculated using the experimental Q value. The barriers in the quasimolecular shape path are determined within a Generalized Liquid Drop Model (GLDM) and the WKB approximation is…

Nuclear Experiment · Physics 2008-11-26 H. F. Zhang , G. Royer
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