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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

$\rm{SO}(3)$-equivariant networks are the dominant models for machine learning interatomic potentials (MLIPs). The key operation of such networks is the Clebsch-Gordan (CG) tensor product, which is computationally expensive. To accelerate…

Machine Learning · Computer Science 2026-01-14 Yuchao Lin , Cong Fu , Zachary Krueger , Haiyang Yu , Maho Nakata , Jianwen Xie , Emine Kucukbenli , Xiaofeng Qian , Shuiwang Ji

Metallic Glasses (MGs) are widely used materials that are stronger than steel while being shapeable as plastic. While understanding the structure-property relationship of MGs remains a challenge in materials science, studying their energy…

Disordered Systems and Neural Networks · Physics 2024-09-05 Haoyu Li , Shichang Zhang , Longwen Tang , Mathieu Bauchy , Yizhou Sun

Molecular dynamics simulations demand an unprecedented combination of accuracy and scalability to tackle grand challenges in catalysis and materials design. To bridge this gap, we present AlphaNet, a local-frame-based equivariant model that…

Graph Neural Networks have rapidly advanced in materials science and chemistry,with their performance critically dependent on comprehensive representations of crystal or molecular structures across five dimensions: elemental information,…

Materials Science · Physics 2025-09-09 Hongwei Du , Hong Wang

Including covariant information, such as position, force, velocity or spin is important in many tasks in computational physics and chemistry. We introduce Steerable E(3) Equivariant Graph Neural Networks (SEGNNs) that generalise equivariant…

Machine Learning · Computer Science 2022-03-29 Johannes Brandstetter , Rob Hesselink , Elise van der Pol , Erik J Bekkers , Max Welling

We consider the prediction of the Hamiltonian matrix, which finds use in quantum chemistry and condensed matter physics. Efficiency and equivariance are two important, but conflicting factors. In this work, we propose a SE(3)-equivariant…

Machine Learning · Computer Science 2023-11-09 Haiyang Yu , Zhao Xu , Xiaofeng Qian , Xiaoning Qian , Shuiwang Ji

Automatic material discovery with desired properties is a fundamental challenge for material sciences. Considerable attention has recently been devoted to generating stable crystal structures. While existing work has shown impressive…

Machine Learning · Computer Science 2023-02-02 Astrid Klipfel , Olivier Peltre , Najwa Harrati , Yaël Fregier , Adlane Sayede , Zied Bouraoui

Generative models generate vast numbers of hypothetical materials, necessitating fast, accurate models for property prediction. Graph Neural Networks (GNNs) excel in this domain but face challenges like high training costs, domain…

Materials Science · Physics 2025-01-08 Hongwei Du , Jiamin Wang , Jian Hui , Lanting Zhang , Hong Wang

The recently proposed crystal graph convolutional neural network (CGCNN) offers a highly versatile and accurate machine learning (ML) framework by learning material properties directly from graph-like representations of crystal structures…

Computational Physics · Physics 2020-07-01 Cheol Woo Park , Chris Wolverton

Developing accurate, transferable and computationally inexpensive machine learning models can rapidly accelerate the discovery and development of new materials. Some of the major challenges involved in developing such models are, (i)…

Quantum mechanical methods like Density Functional Theory (DFT) are used with great success alongside efficient search algorithms for studying kinetics of reactive systems. However, DFT is prohibitively expensive for large scale…

Computational Physics · Physics 2022-09-02 Mathias Schreiner , Arghya Bhowmik , Tejs Vegge , Peter Bjørn Jørgensen , Ole Winther

Geometric graph neural networks (GNNs) excel at capturing molecular geometry, yet their locality-biased message passing hampers the modeling of long-range interactions. Current solutions have fundamental limitations: extending cutoff radii…

Machine Learning · Computer Science 2025-09-29 Haodong Pan , Yusong Wang , Nanning Zheng , Caijui Jiang

Optical properties in solids, such as refractive index and absorption, hold vast applications ranging from solar panels to sensors, photodetectors, and transparent displays. However, first-principles computation of optical properties from…

Materials Science · Physics 2024-06-25 Nguyen Tuan Hung , Ryotaro Okabe , Abhijatmedhi Chotrattanapituk , Mingda Li

The quest for efficient and robust deep learning models for molecular systems representation is increasingly critical in scientific exploration. The advent of message passing neural networks has marked a transformative era in graph-based…

Computational Physics · Physics 2026-01-05 Jian Chang , Shuze Zhu

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

Equivariant Graph Neural Networks (eGNNs) trained on density-functional theory (DFT) data can potentially perform electronic structure prediction at unprecedented scales, enabling investigation of the electronic properties of materials with…

Machine Learning · Computer Science 2025-07-08 Manasa Kaniselvan , Alexander Maeder , Chen Hao Xia , Alexandros Nikolaos Ziogas , Mathieu Luisier

Machine learning has transformed the field of atomistic simulations by enabling the development of interatomic potentials that are computationally efficient and highly accurate. These advances have opened the door to modeling molecular…

Chemical Physics · Physics 2026-05-22 Nitik Bhatia , Ondrej Krejci , Patrick Rinke

The work function and cleavage energy of a surface are critical properties that determine the viability of materials in electronic emission applications, semiconductor devices, and heterogeneous catalysis. While first principles…

Materials Science · Physics 2026-01-12 Circe Hsu , Claire Schlesinger , Karan Mudaliar , Jordan Leung , Robin Walters , Peter Schindler

Deploying 3D graph neural networks (GNNs) that are equivariant to 3D rotations (the group SO(3)) on edge devices is challenging due to their high computational cost. This paper addresses the problem by compressing and accelerating an…

Machine Learning · Computer Science 2026-03-04 Haoyu Zhou , Ping Xue , Hao Zhang , Tianfan Fu