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We present a convolutional network that is equivariant to rigid body motions. The model uses scalar-, vector-, and tensor fields over 3D Euclidean space to represent data, and equivariant convolutions to map between such representations.…

Machine Learning · Computer Science 2018-10-30 Maurice Weiler , Mario Geiger , Max Welling , Wouter Boomsma , Taco Cohen

Understanding protein flexibility and its dynamic interactions with other molecules is essential for studying protein function. Although cryogenic electron microscopy(cryo-EM) provides an opportunity to observe macromolecular dynamics…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Bintao He , Yiran Cheng , Hongjia Li , Xiang Gao , Xin Gao , Fa Zhang , Renmin Han

Graph neural networks (GNNs) have achieved remarkable success in molecular property prediction. However, traditional graph representations struggle to effectively encode the inherent 3D spatial structures of molecules, as molecular…

Machine Learning · Computer Science 2025-07-03 Dian Jin

The field of deep-learning-based ECG analysis has been largely dominated by convolutional architectures. This work explores the prospects of applying the recently introduced structured state space models (SSMs) as a particularly promising…

Machine Learning · Computer Science 2022-11-15 Temesgen Mehari , Nils Strodthoff

Accurate predictions of interatomic energies and forces are essential for high quality molecular dynamic simulations (MD). Machine learning algorithms can be used to overcome limitations of classical MD by predicting ab initio quality…

Chemical Physics · Physics 2022-01-04 Bryce Hedelius , Fabian B. Fuchs , Dennis Della Corte

Protein Structure Prediction (PSP) is an unsolved problem in the field of computational biology. The problem of protein structure prediction is about predicting the native conformation of a protein, while its sequence of amino acids is…

Biomolecules · Quantitative Biology 2022-06-06 Hossein Parineh , Nasser Mozayani

Learning to represent and simulate the dynamics of physical systems is a crucial yet challenging task. Existing equivariant Graph Neural Network (GNN) based methods have encapsulated the symmetry of physics, \emph{e.g.}, translations,…

Machine Learning · Computer Science 2024-06-11 Liming Wu , Zhichao Hou , Jirui Yuan , Yu Rong , Wenbing Huang

We introduce the first learning-based dense matching algorithm, termed Equirectangular Projection-Oriented Dense Kernelized Feature Matching (EDM), specifically designed for omnidirectional images. Equirectangular projection (ERP) images,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Dongki Jung , Jaehoon Choi , Yonghan Lee , Somi Jeong , Taejae Lee , Dinesh Manocha , Suyong Yeon

The increasing number of protein sequences decoded from genomes is opening up new avenues of research on linking protein sequence to function with transformer neural networks. Recent research has shown that the number of known protein…

Machine Learning · Computer Science 2022-06-23 Anowarul Kabir , Amarda Shehu

Protein-nucleic acid interactions play a very important role in a variety of biological activities. Accurate identification of nucleic acid-binding residues is a critical step in understanding the interaction mechanisms. Although many…

Quantitative Methods · Quantitative Biology 2024-01-23 Wenwu Zeng , Dafeng Lv , Wenjuan Liu , Shaoliang Peng

Determining the different conformational states of a protein and the transition paths between them is key to fully understanding the relationship between biomolecular structure and function. This can be accomplished by sampling protein…

Biological Physics · Physics 2021-03-24 Venkata K. Ramaswamy , Chris G. Willcocks , Matteo T. Degiacomi

Protein representation learning is critical for numerous biological tasks. Recently, large transformer-based protein language models (pLMs) pretrained on large scale protein sequences have demonstrated significant success in sequence-based…

Machine Learning · Computer Science 2025-08-12 Xuefeng Liu , Songhao Jiang , Chih-chan Tien , Jinbo Xu , Rick Stevens

Protein structure prediction models such as AlphaFold3 (AF3) push the frontier of biomolecular modeling by incorporating science-informed architectural changes to the transformer architecture. However, these advances come at a steep system…

Biomolecules · Quantitative Biology 2025-06-27 Hoa La , Ahan Gupta , Alex Morehead , Jianlin Cheng , Minjia Zhang

In recent years, diffusion models have become the leading approach for distribution learning. This paper focuses on structure-preserving diffusion models (SPDM), a specific subset of diffusion processes tailored for distributions with…

Machine Learning · Computer Science 2025-03-12 Haoye Lu , Spencer Szabados , Yaoliang Yu

Equivariant Graph Neural Networks (EGNNs) have become a widely used approach for modeling 3D atomistic systems. However, mainstream architectures face critical scalability bottlenecks due to the explicit construction of geometric features…

Machine Learning · Computer Science 2026-01-26 Lin Huang , Chengxiang Huang , Ziang Wang , Yiyue Du , Chu Wang , Haocheng Lu , Yunyang Li , Xiaoli Liu , Arthur Jiang , Jia Zhang

Deep learning has transformed protein design, enabling accurate structure prediction, sequence optimization, and de novo protein generation. Advances in single-chain protein structure prediction via AlphaFold2, RoseTTAFold, ESMFold, and…

Machine Learning · Computer Science 2025-02-27 Gregory W. Kyro , Tianyin Qiu , Victor S. Batista

Group equivariance (e.g. SE(3) equivariance) is a critical physical symmetry in science, from classical and quantum physics to computational biology. It enables robust and accurate prediction under arbitrary reference transformations. In…

Computational Engineering, Finance, and Science · Computer Science 2023-02-08 Weitao Du , He Zhang , Yuanqi Du , Qi Meng , Wei Chen , Bin Shao , Tie-Yan Liu

High-fidelity electron microscopy simulations required for quantitative crystal structure refinements face a fundamental challenge: while physical interactions are well-described theoretically, real-world experimental effects are…

As the impact of climate change escalates, the global necessity to transition to sustainable energy sources becomes increasingly evident. Renewable energies have emerged as a viable solution for users, with Photovoltaic energy being a…

Computer Vision and Pattern Recognition · Computer Science 2025-05-02 Minh Tran , Adrian De Luis , Haitao Liao , Ying Huang , Roy McCann , Alan Mantooth , Jack Cothren , Ngan Le

Representation learning and \emph{de novo} generation of proteins are pivotal computational biology tasks. Whilst natural language processing (NLP) techniques have proven highly effective for protein sequence modelling, structure modelling…

Quantitative Methods · Quantitative Biology 2025-01-08 Benoit Gaujac , Jérémie Donà , Liviu Copoiu , Timothy Atkinson , Thomas Pierrot , Thomas D. Barrett