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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…

While graph neural networks have shown remarkable success in molecular property prediction, current approaches like the Equivariant Subgraph Aggregation Networks (ESAN) treat molecules as bags of independent substructures, overlooking…

Machine Learning · Computer Science 2025-12-16 Shuhui Qu , Cheolwoo Park

Representing and reasoning about 3D structures of macromolecules is emerging as a distinct challenge in machine learning. Here, we extend recent work on geometric vector perceptrons and apply equivariant graph neural networks to a wide…

Machine Learning · Computer Science 2021-07-14 Bowen Jing , Stephan Eismann , Pratham N. Soni , Ron O. Dror

We introduce a novel equivariant graph neural network (GNN) architecture designed to predict the tensorial response properties of molecules. Unlike traditional frameworks that focus on regressing scalar quantities and derive tensorial…

Machine Learning · Computer Science 2025-11-11 Jean Philip Filling , Felix Post , Michael Wand , Denis Andrienko

Predicting electronic energies, densities, and related chemical properties can facilitate the discovery of novel catalysts, medicines, and battery materials. By developing a physics-inspired equivariant neural network, we introduce a method…

Molecule property prediction is a fundamental problem for computer-aided drug discovery and materials science. Quantum-chemical simulations such as density functional theory (DFT) have been widely used for calculating the molecule…

Machine Learning · Computer Science 2019-11-26 Hiroyuki Shindo , Yuji Matsumoto

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

Molecular graph neural networks (GNNs) often focus exclusively on XYZ-based geometric representations and thus overlook valuable chemical context available in public databases like PubChem. This work introduces a multimodal framework that…

Machine Learning · Computer Science 2025-05-20 Can Polat , Hasan Kurban , Erchin Serpedin , Mustafa Kurban

Predicting the properties of a molecule from its structure is a challenging task. Recently, deep learning methods have improved the state of the art for this task because of their ability to learn useful features from the given data. By…

Machine Learning · Computer Science 2020-08-28 Shengli Jiang , Prasanna Balaprakash

Graph Neural Networks (GNNs) have been widely employed for feature representation learning in molecular graphs. Therefore, it is crucial to enhance the expressiveness of feature representation to ensure the effectiveness of GNNs. However, a…

Machine Learning · Computer Science 2024-09-16 Chengyu Yao , Hong Huang , Hang Gao , Fengge Wu , Haiming Chen , Junsuo Zhao

Deep learning models have been widely applied for fast MRI. The majority of existing deep learning models, e.g., convolutional neural networks, work on data with Euclidean or regular grids structures. However, high-dimensional features…

Image and Video Processing · Electrical Eng. & Systems 2023-02-22 Jiahao Huang , Angelica Aviles-Rivero , Carola-Bibiane Schonlieb , Guang Yang

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

Deep learning models are often considered black boxes due to their complex hierarchical transformations. Identifying suitable architectures is crucial for maximizing predictive performance with limited data. Understanding the geometric…

Machine Learning · Computer Science 2025-03-11 Michael Wienczkowski , Addisu Desta , Paschal Ugochukwu

In this paper, we develop SE3Set, an SE(3) equivariant hypergraph neural network architecture tailored for advanced molecular representation learning. Hypergraphs are not merely an extension of traditional graphs; they are pivotal for…

Machine Learning · Computer Science 2024-05-28 Hongfei Wu , Lijun Wu , Guoqing Liu , Zhirong Liu , Bin Shao , Zun Wang

We develop and test new machine learning strategies for accelerating molecular crystal structure ranking and crystal property prediction using tools from geometric deep learning on molecular graphs. Leveraging developments in graph-based…

Materials Science · Physics 2024-07-29 Michael Kilgour , Jutta Rogal , Mark Tuckerman

Graph Neural Networks (GNNs) are often used for tasks involving the 3D geometry of a given graph, such as molecular dynamics simulation. While incorporating Euclidean distance into Message Passing Neural Networks (referred to as Vanilla…

Machine Learning · Computer Science 2024-10-22 Zian Li , Xiyuan Wang , Yinan Huang , Muhan Zhang

In many cutting-edge applications, high-fidelity computational models prove to be too slow for practical use and are therefore replaced by much faster surrogate models. Recently, deep learning techniques have increasingly been utilized to…

Machine Learning · Computer Science 2024-04-03 Saurabh Deshpande , Stéphane P. A. Bordas , Jakub Lengiewicz

Triangular meshes are widely used to represent three-dimensional objects. As a result, many recent works have address the need for geometric deep learning on 3D mesh. However, we observe that the complexities in many of these architectures…

Machine Learning · Computer Science 2024-02-20 Thuan Trang , Nhat Khang Ngo , Daniel Levy , Thieu N. Vo , Siamak Ravanbakhsh , Truong Son Hy

Geometric deep learning has demonstrated a great potential in non-Euclidean data analysis. The incorporation of geometric insights into learning architecture is vital to its success. Here we propose a curvature-enhanced graph convolutional…

Quantitative Methods · Quantitative Biology 2023-06-27 Cong Shen , Pingjian Ding , Junjie Wee , Jialin Bi , Jiawei Luo , Kelin Xia

Graph neural networks are emerging as promising methods for modeling molecular graphs, in which nodes and edges correspond to atoms and chemical bonds, respectively. Recent studies show that when 3D molecular geometries, such as bond…

Machine Learning · Computer Science 2021-10-06 Zhao Xu , Youzhi Luo , Xuan Zhang , Xinyi Xu , Yaochen Xie , Meng Liu , Kaleb Dickerson , Cheng Deng , Maho Nakata , Shuiwang Ji