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Drug discovery is a complex, resource-intensive process requiring significant time and cost to bring new medicines to patients. Many generative models aim to accelerate drug discovery, but few produce synthetically accessible molecules.…

Machine Learning · Computer Science 2025-01-30 Zygimantas Jocys , Zhanxing Zhu , Henriette M. G. Willems , Katayoun Farrahi

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

Convolutional networks are successful due to their equivariance/invariance under translations. However, rotatable data such as images, volumes, shapes, or point clouds require processing with equivariance/invariance under rotations in cases…

Machine Learning · Computer Science 2021-11-23 Luca Della Libera , Vladimir Golkov , Yue Zhu , Arman Mielke , Daniel Cremers

By folding into particular 3D structures, proteins play a key role in living beings. To learn meaningful representation from a protein structure for downstream tasks, not only the global backbone topology but the local fine-grained…

Biomolecules · Quantitative Biology 2025-02-05 Jiahan Li , Shitong Luo , Congyue Deng , Chaoran Cheng , Jiaqi Guan , Leonidas Guibas , Jian Peng , Jianzhu Ma

Learning 3D point sets with rotational invariance is an important and challenging problem in machine learning. Through rotational invariant architectures, 3D point cloud neural networks are relieved from requiring a canonical global pose…

Computer Vision and Pattern Recognition · Computer Science 2022-05-26 Hedi Zisling , Andrei Sharf

Establishing the relationship between 3D structures and the energy states of molecular systems has proven to be a promising approach for learning 3D molecular representations. However, existing methods are limited to modeling the molecular…

Machine Learning · Computer Science 2025-02-27 Liang Wang , Shaozhen Liu , Yu Rong , Deli Zhao , Qiang Liu , Shu Wu , Liang Wang

Sampling methods (e.g., node-wise, layer-wise, or subgraph) has become an indispensable strategy to speed up training large-scale Graph Neural Networks (GNNs). However, existing sampling methods are mostly based on the graph structural…

Machine Learning · Computer Science 2021-09-07 Weilin Cong , Rana Forsati , Mahmut Kandemir , Mehrdad Mahdavi

Recent progress in NeRF-based GANs has introduced a number of approaches for high-resolution and high-fidelity generative modeling of human heads with a possibility for novel view rendering. At the same time, one must solve an inverse…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Ananta R. Bhattarai , Matthias Nießner , Artem Sevastopolsky

We present ENSAM (Equivariant, Normalized, Segment Anything Model), a lightweight and promptable model for universal 3D medical image segmentation. ENSAM combines a SegResNet-based encoder with a prompt encoder and mask decoder in a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Elias Stenhede , Agnar Martin Bjørnstad , Arian Ranjbar

Steerable models can provide very general and flexible equivariance by formulating equivariance requirements in the language of representation theory and feature fields, which has been recognized to be effective for many vision tasks.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Zhengyang Shen , Tao Hong , Qi She , Jinwen Ma , Zhouchen Lin

Scaling deep learning models has been at the heart of recent revolutions in language modelling and image generation. Practitioners have observed a strong relationship between model size, dataset size, and performance. However,…

Deep learning has proven to yield fast and accurate predictions of quantum-chemical properties to accelerate the discovery of novel molecules and materials. As an exhaustive exploration of the vast chemical space is still infeasible, we…

Machine Learning · Statistics 2020-01-10 Niklas W. A. Gebauer , Michael Gastegger , Kristof T. Schütt

3D Euclidean symmetry equivariant neural networks have demonstrated notable success in modeling complex physical systems. We introduce a framework for relaxed $E(3)$ graph equivariant neural networks that can learn and represent symmetry…

Machine Learning · Computer Science 2024-12-11 Elyssa Hofgard , Rui Wang , Robin Walters , Tess Smidt

Group-convolutional neural networks (GCNNs) are among the most important methods for introducing symmetry as an inductive bias in deep learning: In each linear layer, GCNNs sample a transformation group $G$ densely and correlate data and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Daniel Franzen , Jean Philip Filling , Michael Wand

State-of-the-art deep learning systems often require large amounts of data and computation. For this reason, leveraging known or unknown structure of the data is paramount. Convolutional neural networks (CNNs) are successful examples of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Carlos Esteves

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

Extracting compact, physically interpretable representations from high-dimensional scientific data is a persistent challenge due to the complex, nonlinear structures inherent in physical systems. We propose a Gaussian Mixture Variational…

Machine Learning · Computer Science 2025-12-01 Tiffany Fan , Murray Cutforth , Marta D'Elia , Alexandre Cortiella , Alireza Doostan , Eric Darve

Recent advances in convolutional neural networks have shown promising results in 3D shape completion. But due to GPU memory limitations, these methods can only produce low-resolution outputs. To inpaint 3D models with semantic plausibility…

Computer Vision and Pattern Recognition · Computer Science 2017-11-20 Weiyue Wang , Qiangui Huang , Suya You , Chao Yang , Ulrich Neumann

In this work we investigate how to achieve equivariance to input transformations in deep networks, purely from data, without being given a model of those transformations. Convolutional Neural Networks (CNNs), for example, are equivariant to…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Jianbo Jiao , João F. Henriques

Graph neural networks that model 3D data, such as point clouds or atoms, are typically desired to be $SO(3)$ equivariant, i.e., equivariant to 3D rotations. Unfortunately equivariant convolutions, which are a fundamental operation for…

Machine Learning · Computer Science 2023-06-16 Saro Passaro , C. Lawrence Zitnick