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Equivariant neural networks (ENNs) are graph neural networks embedded in $\mathbb{R}^3$ and are well suited for predicting molecular properties. The ENN library e3nn has customizable convolutions, which can be designed to depend only on…

Machine Learning · Computer Science 2020-11-25 Benjamin Kurt Miller , Mario Geiger , Tess E. Smidt , Frank Noé

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

Graph neural networks (GNNs) have shown considerable promise in computational chemistry. However, the limited availability of molecular data raises concerns regarding GNNs' ability to effectively capture the fundamental principles of…

Machine Learning · Computer Science 2025-03-12 Junyi An , Chao Qu , Yun-Fei Shi , XinHao Liu , Qianwei Tang , Fenglei Cao , Yuan Qi

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

Graph Neural Networks (GNNs) traditionally employ a message-passing mechanism that resembles diffusion over undirected graphs, which often leads to homogenization of node features and reduced discriminative power in tasks such as node…

Machine Learning · Computer Science 2025-03-04 Seong Ho Pahng , Sahand Hormoz

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

The present paradigm in design and modelling of lattice architected mechanical metamaterials is mostly limited to traditional numerical methods like finite element analysis. Recently, the use of machine learning and artificial intelligence…

Material representations that are compatible with machine learning models play a key role in developing models that exhibit high accuracy for property prediction. Atomic orbital interactions are one of the important factors that govern the…

Machine learning (ML) is becoming increasingly popular for predicting material properties to accelerate materials discovery. Because material properties are strongly affected by its crystal structure, a key issue is converting the crystal…

Materials Science · Physics 2023-10-12 Hirofumi Tsuruta , Yukari Katsura , Masaya Kumagai

Graph-based neural network models are gaining traction in the field of representation learning due to their ability to uncover latent topological relationships between entities that are otherwise challenging to identify. These models have…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny

Graph neural networks (GNNs) are typically applied to static graphs that are assumed to be known upfront. This static input structure is often informed purely by insight of the machine learning practitioner, and might not be optimal for the…

Graph neural networks (GNNs) have been successfully applied to learning representation on graphs in many relational tasks. Recently, researchers study neural architecture search (NAS) to reduce the dependence of human expertise and explore…

Machine Learning · Computer Science 2021-09-06 Shaofei Cai , Liang Li , Xinzhe Han , Zheng-jun Zha , Qingming Huang

Computational materials discovery is limited by the high cost of first-principles calculations. Machine learning (ML) potentials that predict energies from crystal structures are promising, but existing methods face computational…

The increasing penetration of renewable energy sources introduces significant variability and uncertainty in modern power systems, making accurate state prediction critical for reliable grid operation. Conventional forecasting methods often…

Machine Learning · Computer Science 2025-04-01 Dhruv Suri , Mohak Mangal

Learning to reason about relations and dynamics over multiple interacting objects is a challenging topic in machine learning. The challenges mainly stem from that the interacting systems are exponentially-compositional, symmetrical, and…

Machine Learning · Computer Science 2022-03-15 Wenbing Huang , Jiaqi Han , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

Graph Neural Networks (GNNs) are key tools for graph representation learning, demonstrating strong results across diverse prediction tasks. In this paper, we present Convexified Message-Passing Graph Neural Networks (CGNNs), a novel and…

Machine Learning · Computer Science 2026-01-27 Saar Cohen , Noa Agmon , Uri Shaham

Numerical modeling of polycrystal plasticity is computationally intensive. We employ Graph Neural Networks (GNN) to predict stresses on complex geometries for polycrystal plasticity from Finite Element Method (FEM) simulations. We present a…

Materials Science · Physics 2025-02-13 Hanfeng Zhai

We propose tensorial neural networks (TNNs), a generalization of existing neural networks by extending tensor operations on low order operands to those on high order ones. The problem of parameter learning is challenging, as it corresponds…

Machine Learning · Statistics 2018-12-11 Jiahao Su , Jingling Li , Bobby Bhattacharjee , Furong Huang

Electronic structure is ubiquitously obtained via density functional theory (DFT), where the charge density plays a central role. This work presents EdenGNN (Equivariant Density Graph Neural Network), a machine learning (ML) charge density…

Materials Science · Physics 2026-03-16 Xiwen Li , Zaizhou Xin , Hongyu Yu , Yang Zhong , Xingao Gong , Hongjun Xiang

Edge features contain important information about graphs. However, current state-of-the-art neural network models designed for graph learning, e.g. graph convolutional networks (GCN) and graph attention networks (GAT), adequately utilize…

Machine Learning · Computer Science 2019-01-29 Liyu Gong , Qiang Cheng