Physics-Embedded Bayesian Neural Network (PE-BNN) to predict Energy Dependence of Fission Product Yields with Fine Structures

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Hauptverfasser: Chen, Jingde, Mukobara, Yuta, Fujio, Kazuki, Chiba, Satoshi, Katabuchi, Tatsuya, Ishizuka, Chikako
Format: Preprint
Veröffentlicht: 2025
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author Chen, Jingde
Mukobara, Yuta
Fujio, Kazuki
Chiba, Satoshi
Katabuchi, Tatsuya
Ishizuka, Chikako
author_facet Chen, Jingde
Mukobara, Yuta
Fujio, Kazuki
Chiba, Satoshi
Katabuchi, Tatsuya
Ishizuka, Chikako
contents We present a physics-embedded Bayesian neural network (PE-BNN) framework that integrates fission product yields (FPYs) with prior nuclear physics knowledge to predict energy-dependent FPY data with fine structure. By incorporating an energy-independent phenomenological shell factor as a single input feature, the PE-BNN captures both fine structures and global energy trends. The combination of this physics-informed input with hyperparameter optimization via the Watanabe-Akaike Information Criterion (WAIC) significantly enhances predictive performance. Our results demonstrate that the PE-BNN framework is well-suited for target observables with systematic features that can be embedded as model inputs, achieving close agreement with known shell effects and prompt neutron multiplicities.
format Preprint
id arxiv_https___arxiv_org_abs_2504_17275
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Physics-Embedded Bayesian Neural Network (PE-BNN) to predict Energy Dependence of Fission Product Yields with Fine Structures
Chen, Jingde
Mukobara, Yuta
Fujio, Kazuki
Chiba, Satoshi
Katabuchi, Tatsuya
Ishizuka, Chikako
Nuclear Theory
Nuclear Experiment
Data Analysis, Statistics and Probability
We present a physics-embedded Bayesian neural network (PE-BNN) framework that integrates fission product yields (FPYs) with prior nuclear physics knowledge to predict energy-dependent FPY data with fine structure. By incorporating an energy-independent phenomenological shell factor as a single input feature, the PE-BNN captures both fine structures and global energy trends. The combination of this physics-informed input with hyperparameter optimization via the Watanabe-Akaike Information Criterion (WAIC) significantly enhances predictive performance. Our results demonstrate that the PE-BNN framework is well-suited for target observables with systematic features that can be embedded as model inputs, achieving close agreement with known shell effects and prompt neutron multiplicities.
title Physics-Embedded Bayesian Neural Network (PE-BNN) to predict Energy Dependence of Fission Product Yields with Fine Structures
topic Nuclear Theory
Nuclear Experiment
Data Analysis, Statistics and Probability
url https://arxiv.org/abs/2504.17275