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Related papers: Iterative SE(3)-Transformers

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We introduce the SE(3)-Transformer, a variant of the self-attention module for 3D point clouds and graphs, which is equivariant under continuous 3D roto-translations. Equivariance is important to ensure stable and predictable performance in…

Machine Learning · Computer Science 2020-11-26 Fabian B. Fuchs , Daniel E. Worrall , Volker Fischer , Max Welling

Neural networks that incorporate geometric relationships respecting SE(3) group transformations (e.g. rotations and translations) are increasingly important in molecular applications, such as molecular property prediction, protein structure…

Machine Learning · Computer Science 2025-10-21 Jose Siguenza , Bharath Ramsundar

Despite their widespread success in various domains, Transformer networks have yet to perform well across datasets in the domain of 3D atomistic graphs such as molecules even when 3D-related inductive biases like translational invariance…

Machine Learning · Computer Science 2023-03-01 Yi-Lun Liao , Tess Smidt

Recent advances in deep learning and Transformers have driven major breakthroughs in robotics by employing techniques such as imitation learning, reinforcement learning, and LLM-based multimodal perception and decision-making. However,…

Features that are equivariant to a larger group of symmetries have been shown to be more discriminative and powerful in recent studies. However, higher-order equivariant features often come with an exponentially-growing computational cost.…

Computer Vision and Pattern Recognition · Computer Science 2021-04-05 Haiwei Chen , Shichen Liu , Weikai Chen , Hao Li

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

As $SE(3)$-equivariant graph neural networks mature as a core tool for 3D atomistic modeling, improving their efficiency, expressivity, and physical consistency has become a central challenge for large-scale applications. In this work, we…

Machine Learning · Computer Science 2026-04-13 Yi-Lun Liao , Alexander J. Hoffman , Sabrina C. Shen , Alexandre Duval , Sam Walton Norwood , Tess Smidt

Processing spatial data is a key component in many learning tasks for autonomous driving such as motion forecasting, multi-agent simulation, and planning. Prior works have demonstrated the value in using SE(2) invariant network…

Machine Learning · Computer Science 2025-07-25 Ethan Pronovost , Neha Boloor , Peter Schleede , Noureldin Hendy , Andres Morales , Nicholas Roy

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

End-to-end learning for visual robotic manipulation is known to suffer from sample inefficiency, requiring large numbers of demonstrations. The spatial roto-translation equivariance, or the SE(3)-equivariance can be exploited to improve the…

Robotics · Computer Science 2023-11-08 Hyunwoo Ryu , Hong-in Lee , Jeong-Hoon Lee , Jongeun Choi

Accurate prediction of small molecule solubility using material-sparing approaches is critical for accelerating synthesis and process optimization, yet experimental measurement is costly and many learning approaches either depend on…

Modeling global geometric context while maintaining equivariance is crucial for accurate predictions in many fields such as biology, chemistry, or vision. Yet, this is challenging due to the computational demands of processing…

Machine Learning · Computer Science 2024-08-14 Artem Moskalev , Mangal Prakash , Rui Liao , Tommaso Mansi

Modeling 3D dynamics is a fundamental problem in multi-body systems across scientific and engineering domains and has important practical implications in object trajectory prediction and simulation. While recent GNN-based approaches have…

Machine Learning · Computer Science 2026-05-12 Kai Yang , Yuqi Huang , Junheng Tao , Wanyu Wang , Qitian Wu

A wide range of techniques have been proposed in recent years for designing neural networks for 3D data that are equivariant under rotation and translation of the input. Most approaches for equivariance under the Euclidean group…

Computational Geometry · Computer Science 2022-11-30 Adrien Poulenard , Maks Ovsjanikov , Leonidas J. Guibas

Transformer architectures can effectively learn language-conditioned, multi-task 3D open-loop manipulation policies from demonstrations by jointly processing natural language instructions and 3D observations. However, although both the…

Robotics · Computer Science 2025-05-28 Xupeng Zhu , Yu Qi , Yizhe Zhu , Robin Walters , Robert Platt

Structure-informed protein representation learning is essential for effective protein function annotation and \textit{de novo} design. However, the presence of inherent noise in both crystal and AlphaFold-predicted structures poses…

Biomolecules · Quantitative Biology 2025-03-25 Zhongyue Zhang , Runze Ma , Yanjie Huang , Shuangjia Zheng

Extending the translation equivariance property of convolutional neural networks to larger symmetry groups has been shown to reduce sample complexity and enable more discriminative feature learning. Further, exploiting additional symmetries…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Lisa Weijler , Pedro Hermosilla

Natural language processing has greatly benefited from the introduction of the attention mechanism. However, standard attention models are of limited interpretability for tasks that involve a series of inference steps. We describe an…

Computation and Language · Computer Science 2018-09-03 Martin Tutek , Jan Šnajder

Machine learning has enabled the prediction of quantum chemical properties with high accuracy and efficiency, allowing to bypass computationally costly ab initio calculations. Instead of training on a fixed set of properties, more recent…

Proteins move and deform to ensure their biological functions. Despite significant progress in protein structure prediction, approximating conformational ensembles at physiological conditions remains a fundamental open problem. This paper…

Biomolecules · Quantitative Biology 2025-04-07 Valentin Lombard , Sergei Grudinin , Elodie Laine
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