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The development of machine learning sheds new light on the problem of statistical thermodynamics in multicomponent alloys. However, a data-driven approach to construct the effective Hamiltonian requires sufficiently large data sets, which…

Materials Science · Physics 2020-01-01 Xianglin Liu , Jiaxin Zhang , Markus Eisenbach , Yang Wang

The rapid growth of research in exploiting machine learning to predict chaotic systems has revived a recent interest in Hamiltonian Neural Networks (HNNs) with physical constraints defined by the Hamilton's equations of motion, which…

Machine Learning · Computer Science 2021-06-02 Chen-Di Han , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

Deep learning methods for electronic-structure Hamiltonian prediction has offered significant computational efficiency advantages over traditional DFT methods, yet the diversity of atomic types, structural patterns, and the high-dimensional…

Machine Learning · Computer Science 2026-03-03 Shi Yin , Zujian Dai , Xinyang Pan , Lixin He

Graph neural networks (GNN) have been shown to provide substantial performance improvements for atomistic material representation and modeling compared with descriptor-based machine learning models. While most existing GNN models for…

Materials Science · Physics 2022-04-08 Kamal Choudhary , Brian DeCost

The properties of electrons in matter are of fundamental importance. They give rise to virtually all molecular and material properties and determine the physics at play in objects ranging from semiconductor devices to the interior of giant…

Although equivariant neural networks have become a cornerstone for learning electronic Hamiltonians, the intrinsic non-orthogonality of linear combinations of atomic orbitals (LCAO) basis sets poses a fundamental challenge. The…

Materials Science · Physics 2026-01-21 Yunlong Wang , Zhixin Liang , Chi Ding , Junjie Wang , Zheyong Fan , Hui-Tian Wang , Dingyu Xing , Jian Sun

The fundamental laws of physics are intrinsically geometric, dictating the evolution of systems through principles of symmetry and conservation. While modern machine learning offers powerful tools for modeling complex dynamics from data,…

Machine Learning · Computer Science 2025-07-22 Amine Mohamed Aboussalah , Abdessalam Ed-dib

Density functional theory (DFT) is one of the main methods in Quantum Chemistry that offers an attractive trade off between the cost and accuracy of quantum chemical computations. The electron density plays a key role in DFT. In this work,…

Chemical Physics · Physics 2018-09-11 Anton V. Sinitskiy , Vijay S. Pande

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

Machine learning surrogate models of Kohn-Sham Density Functional Theory Hamiltonians provide a powerful tool for accelerating the prediction of electronic properties of materials, such as electronic band structures and density of states.…

Materials Science · Physics 2026-04-02 Chen Qian , Valdas Vitartas , James Kermode , Reinhard J. Maurer

Recent advances in computational modelling of atomic systems, spanning molecules, proteins, and materials, represent them as geometric graphs with atoms embedded as nodes in 3D Euclidean space. In these graphs, the geometric attributes…

The combinations of machine learning with ab initio methods have attracted much attention for their potential to resolve the accuracy-efficiency dilemma and facilitate calculations for large-scale systems. Recently, equivariant message…

Computational Physics · Physics 2025-09-08 Zhixin Liang , Yunlong Wang , Chi Ding , Junjie Wang , Hui-Tian Wang , Dingyu Xing , Jian Sun

There has been a recent surge of interest in using machine learning to approximate density functional theory (DFT) in materials science. However, many of the most performant models are evaluated on large databases of computed properties of,…

Materials Science · Physics 2021-07-02 Filip Ekström , Rickard Armiento , Fredrik Lindsten

Materials discovery, especially for applications that require extreme operating conditions, requires extensive testing that naturally limits the ability to inquire the wealth of possible compositions. Machine Learning (ML) has nowadays a…

Materials Science · Physics 2023-06-21 Dario Massa , Daniel Cieśliński , Amirhossein Naghdi , Stefanos Papanikolaou

Graph neural networks (GNNs) have become a core paradigm for learning on relational data. In materials science, equivariant GNNs (EGNNs) have emerged as a compelling backbone for crystalline-structure prediction, owing to their ability to…

Machine Learning · Computer Science 2025-10-08 Yang Cao , Zhao Song , Jiahao Zhang , Jiale Zhao

The difficult problem of relating the static structure of glassy liquids and their dynamics is a good target for Machine Learning, an approach which excels at finding complex patterns hidden in data. Indeed, this approach is currently a hot…

Soft Condensed Matter · Physics 2024-05-29 Francesco Saverio Pezzicoli , Guillaume Charpiat , François P. Landes

Machine learning (ML) methods have gained increasing popularity in exploring and developing new materials. More specifically, graph neural network (GNN) has been applied in predicting material properties. In this work, we develop a novel…

Computational Physics · Physics 2020-08-18 Steph-Yves Louis , Yong Zhao , Alireza Nasiri , Xiran Wong , Yuqi Song , Fei Liu , Jianjun Hu

Learning from graph-structured data is an important task in machine learning and artificial intelligence, for which Graph Neural Networks (GNNs) have shown great promise. Motivated by recent advances in geometric representation learning, we…

Machine Learning · Computer Science 2019-10-30 Qi Liu , Maximilian Nickel , Douwe Kiela

Graph neural networks (GNNs) are designed to extract latent patterns from graph-structured data, making them particularly well suited for crystal representation learning. Here, we propose a GNN model tailored for estimating electronic…

Materials Science · Physics 2026-04-07 Yuxuan Zeng , Wei Cao , Yijing Zuo , Fang Lyu , Wenhao Xie , Tan Peng , Yue Hou , Ling Miao , Ziyu Wang , Jing Shi

The emergence of deep learning (DL) has provided great opportunities for the high-throughput analysis of atomic-resolution micrographs. However, the DL models trained by image patches in fixed size generally lack efficiency and flexibility…