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Two types of approaches to modeling molecular systems have demonstrated high practical efficiency. Density functional theory (DFT), the most widely used quantum chemical method, is a physical approach predicting energies and electron…

Chemical Physics · Physics 2020-03-02 Anton V. Sinitskiy , Vijay S. Pande

We present a machine learning algorithm for the prediction of molecule properties inspired by ideas from density functional theory. Using Gaussian-type orbital functions, we create surrogate electronic densities of the molecule from which…

Chemical Physics · Physics 2019-11-27 Michael Eickenberg , Georgios Exarchakis , Matthew Hirn , Stéphane Mallat , Louis Thiry

Ionic mobility determines the rate performance of several applications, such as batteries, fuel cells, and electrochemical sensors and is exponentially dependent on the migration barrier ($E_m$), a difficult to measure/calculate quantity.…

Materials Science · Physics 2026-02-16 Reshma Devi , Keith T. Butler , Gopalakrishnan Sai Gautam

Predicting response of materials to external stimuli is a primary objective of computational materials science. However, current methods are limited to small-scale simulations due to the unfavorable scaling of computational costs. Here, we…

Many processes in biology and drug discovery involve various 3D interactions between molecules, such as protein and protein, protein and small molecule, etc. Given that different molecules are usually represented in different granularity,…

Machine Learning · Computer Science 2024-05-31 Xiangzhe Kong , Wenbing Huang , Yang Liu

Electronic structure calculation of atoms and molecules, in the past few decades has largely been dominated by density functional methods. This is primarily due to the fact that this can account for electron correlation effects in a…

Chemical Physics · Physics 2013-07-12 Amlan K. Roy

This paper introduces a generative model equivariant to Euclidean symmetries: E(n) Equivariant Normalizing Flows (E-NFs). To construct E-NFs, we take the discriminative E(n) graph neural networks and integrate them as a differential…

Machine Learning · Computer Science 2022-01-17 Victor Garcia Satorras , Emiel Hoogeboom , Fabian B. Fuchs , Ingmar Posner , Max Welling

Charge density is central to density functional theory (DFT), as it fully defines the ground-state properties of a material system. Obtaining it with high accuracy is a computational bottleneck. Existing machine learning models are…

Materials Science · Physics 2025-09-30 Xuejian Qin , Taoyuze Lv , Zhicheng Zhong

How can prior knowledge on the transformation invariances of a domain be incorporated into the architecture of a neural network? We propose Equivariant Transformers (ETs), a family of differentiable image-to-image mappings that improve the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Kai Sheng Tai , Peter Bailis , Gregory Valiant

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…

Data-driven techniques are increasingly used to replace electronic-structure calculations of matter. In this context, a relevant question is whether machine learning (ML) should be applied directly to predict the desired properties or be…

Learning and reasoning about 3D molecular structures with varying size is an emerging and important challenge in machine learning and especially in drug discovery. Equivariant Graph Neural Networks (GNNs) can simultaneously leverage the…

Machine Learning · Computer Science 2022-03-03 Tuan Le , Frank Noé , Djork-Arné Clevert

Machine learning potentials have become increasingly successful in atomistic simulations. Many of these potentials are based on an atomistic representation in a local environment, but an efficient description of non-local interactions that…

Chemical Physics · Physics 2024-10-01 Yibin Wu , Junfan Xia , Yaolong Zhang , Bin Jiang

Molecular 3D conformations play a key role in determining how molecules interact with other molecules or protein surfaces. Recent deep learning advancements have improved conformation prediction, but slow training speeds and difficulties in…

Machine Learning · Computer Science 2024-12-17 Qingwen Tian , Yuxin Xu , Yixuan Yang , Zhen Wang , Ziqi Liu , Pengju Yan , Xiaolin Li

The most successful and popular machine learning models of atomic-scale properties derive their transferability from a locality ansatz. The properties of a large molecule or a bulk material are written as a sum over contributions that…

Chemical Physics · Physics 2020-01-08 Andrea Grisafi , Michele Ceriotti

Ab initio study of magnetic superstructures (e.g., magnetic skyrmion) is indispensable to the research of novel materials but bottlenecked by its formidable computational cost. For solving the bottleneck problem, we develop a deep…

Computational Physics · Physics 2023-06-12 He Li , Zechen Tang , Xiaoxun Gong , Nianlong Zou , Wenhui Duan , Yong Xu

DFT+U is a widely used treatment in the density functional theory (DFT) to deal with correlated materials that contain open-shell elements, whereby the quantitative and sometimes even qualitative failures of local and semilocal…

Computational Physics · Physics 2024-02-09 Zhendong Cao , Guanghui Cai , Fankai Xie , Huaxian Jia , Wei Liu , Yaxian Wang , Feng Liu , Xinguo Ren , Sheng Meng , Miao Liu

Generative models for 3D molecular conformations must respect Euclidean symmetries and concentrate probability mass on thermodynamically favorable, mechanically stable structures. However, E(3)-equivariant diffusion models often reproduce…

Machine Learning · Computer Science 2026-01-30 Yunyang Li , Lin Huang , Luojia Xia , Wenhe Zhang , Mark Gerstein

Density Functional Theory (DFT) is a pivotal method within quantum chemistry and materials science, with its core involving the construction and solution of the Kohn-Sham Hamiltonian. Despite its importance, the application of DFT is…

This article deals with approximating steady-state particle-resolved fluid flow around a fixed particle of interest under the influence of randomly distributed stationary particles in a dispersed multiphase setup using Convolutional Neural…

Fluid Dynamics · Physics 2021-10-25 Bhargav Sriram Siddani , S. Balachandar , Ruogu Fang