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Learning from data has led to a paradigm shift in computational materials science. In particular, it has been shown that neural networks can learn the potential energy surface and interatomic forces through examples, thus bypassing the…

Strongly Correlated Electrons · Physics 2019-02-18 Jianhua Ma , Puhan Zhang , Yaohua Tan , Avik W. Ghosh , Gia-Wei Chern

Electron-phonon coupling (EPC) plays an important role in many fundamental physical phenomena, but the high computational cost of the EPC matrix hinders the theoretical research on them. In this paper, an analytical formula is derived to…

Computational Physics · Physics 2023-02-02 Yang Zhong , Zhiguo Tao , Weibin Chu , Xingao Gong , Hongjun Xiang

Machine learning has made important headway in helping to improve the treatment of quantum many-body systems. A domain of particular relevance are correlated inhomogeneous systems. What has been missing so far is a general, scalable…

Quantum Physics · Physics 2026-02-10 Alex Blania , Sandro Herbig , Fabian Dechent , Evert van Nieuwenburg , Florian Marquardt

The crucial step for localization is to match the current observation to the map. When the two sensor modalities are significantly different, matching becomes challenging. In this paper, we present an end-to-end deep phase correlation…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Zexi Chen , Xuecheng Xu , Yue Wang , Rong Xiong

Machine learning models for the potential energy of multi-atomic systems, such as the deep potential (DP) model, make possible molecular simulations with the accuracy of quantum mechanical density functional theory, at a cost only…

Regression with non-Euclidean responses -- e.g., probability distributions, networks, symmetric positive-definite matrices, and compositions -- has become increasingly important in modern applications. In this paper, we propose deep…

Machine Learning · Statistics 2025-10-21 Kyum Kim , Yaqing Chen , Paromita Dubey

Very recently, we introduced a set of correlation consistent effective core potentials (ccECPs) constructed within full many-body approaches. By employing significantly more accurate correlated approaches we were able to reach a new level…

Materials Science · Physics 2020-02-25 Abdulgani Annaberdiyev , Cody A. Melton , M. Chandler Bennett , Guangming Wang , Lubos Mitas

In this article, we present an efficient deep learning method called coupled deep neural networks (CDNNs) for coupled physical problems. Our method compiles the interface conditions of the coupled PDEs into the networks properly and can be…

Numerical Analysis · Mathematics 2023-01-18 Jing Yue , Jian Li , Wen Zhang

Accurate ab-initio prediction of electronic energies is very expensive for macromolecules by explicitly solving post-Hartree-Fock equations. We here exploit the physically justified local correlation feature in compact basis of small…

Chemical Physics · Physics 2023-08-01 Wai-Pan Ng , Qiujiang Liang , Jun Yang

Computer vision systems in real-world applications need to be robust to partial occlusion while also being explainable. In this work, we show that black-box deep convolutional neural networks (DCNNs) have only limited robustness to partial…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Adam Kortylewski , Qing Liu , Angtian Wang , Yihong Sun , Alan Yuille

We train a neural network as the universal exchange-correlation functional of density-functional theory that simultaneously reproduces both the exact exchange-correlation energy and potential. This functional is extremely non-local, but…

Computational Physics · Physics 2019-10-10 Jonathan Schmidt , Carlos L. Benavides-Riveros , Miguel A. L. Marques

The accurate description of electrostatic interactions remains a challenging problem for fitted potential-energy functions. The commonly used fixed partial-charge approximation fails to reproduce the electrostatic potential at short range…

Chemical Physics · Physics 2022-04-05 Moritz Thürlemann , Lennard Böselt , Sereina Riniker

High-precision atomic structure calculations require accurate modelling of electronic correlations typically addressed via the configuration interaction (CI) problem on a multiconfiguration wave function expansion. The latter can easily…

Atomic Physics · Physics 2023-06-22 Pavlo Bilous , Adriana Pálffy , Florian Marquardt

We show that deep neural networks can be integrated into, or fully replace, the Kohn-Sham density functional theory scheme for multi-electron systems in simple harmonic oscillator and random external potentials with no feature engineering.…

Materials Science · Physics 2021-02-25 Kevin Ryczko , David Strubbe , Isaac Tamblyn

Electron charge density is a fundamental physical quantity, determining various properties of matter. In this study, we have proposed a deep-learning model for accurate charge density prediction. Our model naturally preserves physical…

Materials Science · Physics 2023-09-27 Taoyuze Lv , Zhicheng Zhong , Yuhang Liang , Feng Li , Jun Huang , Rongkun Zheng

Graph Neural Network (GNN) potentials relying on chemical locality offer near-quantum mechanical accuracy at significantly reduced computational costs. Message-passing GNNs model interactions beyond their immediate neighborhood by…

Chemical Physics · Physics 2025-06-30 Paul Fuchs , Michał Sanocki , Julija Zavadlav

In this work, we propose a balanced multi-component and multi-layer neural network (MMNN) structure to accurately and efficiently approximate functions with complex features, in terms of both degrees of freedom and computational cost. The…

Machine Learning · Computer Science 2025-07-17 Shijun Zhang , Hongkai Zhao , Yimin Zhong , Haomin Zhou

Deep learning based methods, such as Convolution Neural Network (CNN), have demonstrated their efficiency in hyperspectral image (HSI) classification. These methods can automatically learn spectral-spatial discriminative features within…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Yu Shen , Sijie Zhu , Chen Chen , Qian Du , Liang Xiao , Jianyu Chen , Delu Pan

Density functional theory (DFT) calculations determine the relaxed atomic positions and lattice parameters that minimize the formation energy of a structure. We present an equivariant graph neural network (EGNN) model to predict the outcome…

Materials Science · Physics 2026-03-31 Jamie Holber , Siddhartha Srivastava , Krishna Garikipati

Recent findings show that deep convolutional neural networks (DCNNs) do not generalize well under partial occlusion. Inspired by the success of compositional models at classifying partially occluded objects, we propose to integrate…

Computer Vision and Pattern Recognition · Computer Science 2020-04-20 Adam Kortylewski , Ju He , Qing Liu , Alan Yuille