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In this paper, we demonstrate the expressibility of artificial neural networks (ANNs) in quantum many-body physics by showing that a feed-forward neural network with a small number of hidden layers can be trained to approximate with high…

Strongly Correlated Electrons · Physics 2018-01-17 Zi Cai , Jinguo Liu

Recurrent neural networks (RNNs) have emerged as powerful tools for processing sequential data in various fields, including natural language processing and speech recognition. However, the lack of explainability in RNN models has limited…

Machine Learning · Computer Science 2024-02-13 Pouria Golshanrad , Fathiyeh Faghih

Our objective is to estimate the unknown compositional input from its output response through an unknown system after estimating the inverse of the original system with a training set. The proposed methods using artificial neural networks…

Machine Learning · Computer Science 2020-01-27 Se Un Park

Although the neural network (NN) technique plays an important role in machine learning, understanding the mechanism of NN models and the transparency of deep learning still require more basic research. In this study, we propose a novel…

Machine Learning · Computer Science 2023-11-10 Shuyue Guan , Murray Loew

This study is devoted to the inference problem of extracting the nuclear matter properties directly from a set of mass-radius observations. We employ Bayesian neural networks (BNNs), which is a probabilistic model capable of estimating the…

Nuclear Theory · Physics 2024-09-27 Valéria Carvalho , Márcio Ferreira , Constança Providência

We present a novel approach that integrates unfitted finite element methods and neural networks to approximate partial differential equations on complex geometries. Easy-to-generate background meshes (e.g., a simple Cartesian mesh) that cut…

Numerical Analysis · Mathematics 2025-12-04 Wei Li , Alberto F. Martín , Santiago Badia

There is a growing interest in automated neural architecture search (NAS) methods. They are employed to routinely deliver high-quality neural network architectures for various challenging data sets and reduce the designer's effort. The NAS…

Neural and Evolutionary Computing · Computer Science 2022-06-28 Michal Pinos , Vojtech Mrazek , Lukas Sekanina

Discontinuous Finite Element Methods (DFEM) have been widely used for solving $S_n$ radiation transport problems in participative and non-participative media. In the DFEM $S_n$ methodology, the transport equation is discretized into a set…

Computational Physics · Physics 2019-06-11 Mauricio Tano , Jean Ragusa

Herein, we present a new data-driven multiscale framework called FE${}^\text{ANN}$ which is based on two main keystones: the usage of physics-constrained artificial neural networks (ANNs) as macroscopic surrogate models and an autonomous…

Computational Engineering, Finance, and Science · Computer Science 2023-09-06 Karl A. Kalina , Lennart Linden , Jörg Brummund , Markus Kästner

One of the most common and universal problems in science is to investigate a function. The prediction can be made by an Artificial Neural Network (ANN) or a mathematical model. Both approaches have their advantages and disadvantages.…

Neural and Evolutionary Computing · Computer Science 2022-02-22 Szymon Buchaniec , Marek Gnatowski , Grzegorz Brus

The brain, as the source of inspiration for Artificial Neural Networks (ANN), is based on a sparse structure. This sparse structure helps the brain to consume less energy, learn easier and generalize patterns better than any other ANN. In…

Machine Learning · Computer Science 2021-03-16 Seyed Majid Naji , Azra Abtahi , Farokh Marvasti

The extraction of the nuclear matter properties from neutron star (NS) observations is nowadays an important issue, in particular, the properties that characterize the symmetry energy which are essential to describe correctly asymmetric…

Nuclear Theory · Physics 2022-12-05 Márcio Ferreira , Valéria Carvalho , Constança Providência

We propose improvements to the Artificial Neural Network (ANN) method of determining electron scattering cross-sections from swarm data proposed by coauthors. A limitation inherent to this problem, known as the inverse swarm problem, is the…

Computational Physics · Physics 2023-11-23 Dale L Muccignat , Gregory G Boyle , Nathan A Garland , Peter W Stokes , Ronald D White

The potential of neural networks (NN) in engineering is rooted in their capacity to understand intricate patterns and complex systems, leveraging their universal nonlinear approximation capabilities and high expressivity. Meanwhile,…

Computational Engineering, Finance, and Science · Computer Science 2025-01-23 Mohammed Abda , Elsa Piollet , Christopher Blake , Frédérick P. Gosselin

A deep neural network (DNN) model consisting of two hidden layers was proposed for predicting the immediate environments of specific atoms based on X-ray absorption near-edge spectra (XANES). The output layer of the DNN can be adjusted to…

Computational Physics · Physics 2019-05-13 Liang Li , Mindren Lu , Maria K. Y. Chan

The scope of this teaching package is to make a brief induction to Artificial Neural Networks (ANNs) for people who have no previous knowledge of them. We first make a brief introduction to models of networks, for then describing in general…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Carlos Gershenson

Artificial Neuronal Networks are models widely used for many scientific tasks. One of the well-known field of application is the approximation of high-dimensional problems via Deep Learning. In the present paper we investigate the Deep…

Numerical Analysis · Mathematics 2021-10-06 F. Calabrò , S. Cuomo , F. Giampaolo , S. Izzo , C. Nitsch , F. Piccialli , C. Trombetti

We develop a data-driven model, introducing recent advances in machine learning to reservoir simulation. We use a conventional reservoir modeling tool to generate training set and a special ensemble of artificial neural networks (ANNs) to…

Geophysics · Physics 2019-05-21 Oleg Sudakov , Dmitri Koroteev , Boris Belozerov , Evgeny Burnaev

The prediction of near surface wind speed is becoming increasingly vital for the operation of electrical energy grids as the capacity of installed wind power grows. The majority of predictive wind speed modeling has focused on point-based…

Machine Learning · Computer Science 2017-12-15 Jianan Cao , David J. Farnham , Upmanu Lall

Understanding the equation of state of dense QCD matter remains a major challenge in both nuclear physics and astrophysics. Neutron star observations from electromagnetic and gravitational wave spectra provide critical insights into the…

Nuclear Theory · Physics 2023-03-31 Plamen G. Krastev
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