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This work introduces a diffusion model for molecule generation in 3D that is equivariant to Euclidean transformations. Our E(3) Equivariant Diffusion Model (EDM) learns to denoise a diffusion process with an equivariant network that jointly…

Machine Learning · Computer Science 2022-06-17 Emiel Hoogeboom , Victor Garcia Satorras , Clément Vignac , Max Welling

Flow Matching (FM) has recently emerged as a leading approach for high-fidelity visual generation, offering a robust continuous-time alternative to ordinary differential equation (ODE) based models. However, despite their success, FM models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Dayu Wang , Jiaye Yang , Weikang Li , Jiahui Liang , Yang Li

The prediction of quantum mechanical properties is historically plagued by a trade-off between accuracy and speed. Machine learning potentials have previously shown great success in this domain, reaching increasingly better accuracy while…

Machine Learning · Computer Science 2022-04-26 Philipp Thölke , Gianni De Fabritiis

Generative modeling seeks to uncover the underlying factors that give rise to observed data that can often be modeled as the natural symmetries that manifest themselves through invariances and equivariances to certain transformation laws.…

Machine Learning · Computer Science 2022-08-16 Avishek Joey Bose , Marcus Brubaker , Ivan Kobyzev

The interpretation of ego motion and scene change is a fundamental task for mobile robots. Optical flow information can be employed to estimate motion in the surroundings. Recently, unsupervised optical flow estimation has become a research…

Computer Vision and Pattern Recognition · Computer Science 2020-11-05 Hengli Wang , Rui Fan , Ming Liu

Flow matching has emerged as a promising generative approach that addresses the lengthy sampling times associated with state-of-the-art diffusion models and enables a more flexible trajectory design, while maintaining high-quality image…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Arnela Hadzic , Franz Thaler , Lea Bogensperger , Simon Johannes Joham , Martin Urschler

Symmetry is fundamental to understanding physical systems and can improve performance and sample efficiency in machine learning. Both pursuits require knowledge of the underlying symmetries in data, yet discovering these symmetries…

Artificial Intelligence · Computer Science 2026-03-03 Yuxuan Chen , Jung Yeon Park , Floor Eijkelboom , Jianke Yang , Jan-Willem van de Meent , Lawson L. S. Wong , Robin Walters

Deep generative models provide state-of-the-art performance across a wide array of applications, with recent studies showing increasing applicability for science and engineering. Despite a growing corpus of literature focused on the…

Machine Learning · Computer Science 2026-05-14 Jacob K. Christopher , James E. Warner , Ferdinando Fioretto

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

This paper introduces equivariant hamiltonian flows, a method for learning expressive densities that are invariant with respect to a known Lie-algebra of local symmetry transformations while providing an equivariant representation of the…

Machine Learning · Statistics 2019-10-01 Danilo Jimenez Rezende , Sébastien Racanière , Irina Higgins , Peter Toth

Recently, large-scale transformer-based models have been proven to be effective over various tasks across many domains. Nevertheless, applying them in industrial production requires tedious and heavy works to reduce inference costs. To fill…

Computation and Language · Computer Science 2022-05-25 Gongzheng Li , Yadong Xi , Jingzhen Ding , Duan Wang , Bai Liu , Changjie Fan , Xiaoxi Mao , Zeng Zhao

Sampling from unnormalized target distributions, e.g.\ Boltzmann distributions $\mu_{\text{target}}(x) \propto \exp(-E(x)/T)$, is fundamental to many scientific applications yet computationally challenging due to complex, high-dimensional…

Machine Learning · Statistics 2026-04-22 Niclas Dern , Lennart Redl , Sebastian Pfister , Marcel Kollovieh , David Lüdke , Stephan Günnemann

Graph neural networks (GNNs) have shown promise in learning unstructured mesh-based simulations of physical systems, including fluid dynamics. In tandem, geometric deep learning principles have informed the development of equivariant…

Peptides, short chains of amino acid residues, play a vital role in numerous biological processes by interacting with other target molecules, offering substantial potential in drug discovery. In this work, we present PepFlow, the first…

Biomolecules · Quantitative Biology 2024-06-04 Jiahan Li , Chaoran Cheng , Zuofan Wu , Ruihan Guo , Shitong Luo , Zhizhou Ren , Jian Peng , Jianzhu Ma

Segmenting thin structures like infrastructure cracks and anatomical vessels is a task hampered by topology-sensitive geometry, high annotation costs, and poor generalization across domains. Existing methods address these challenges in…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Babak Asadi , Peiyang Wu , Mani Golparvar-Fard , Viraj Shah , Ramez Hajj

Recent advances in computational materials science present novel opportunities for structure discovery and optimization, including uncovering of unsuspected compounds and metastable structures, electronic structure, surface, and…

Planning is a critical component of end-to-end autonomous driving. However, prevailing imitation learning methods often suffer from mode collapse, failing to produce diverse trajectory hypotheses. Meanwhile, existing generative approaches…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Lin Liu , Guanyi Yu , Ziying Song , Junqiao Li , Caiyan Jia , Feiyang Jia , Peiliang Wu , Yandan Luo

Achieving chemical accuracy for molecular simulations remains a central challenge in computational chemistry. Here, we present an embedded correlated wavefunction transfer learning (ECW-TL) framework for accurately simulating molecular…

Chemical Physics · Physics 2026-03-18 Xuezhi Bian , Emily A. Carter

Graph diffusion models, dominant in graph generative modeling, remain underexplored for graph-to-graph translation tasks like chemical reaction prediction. We demonstrate that standard permutation equivariant denoisers face fundamental…

Machine Learning · Computer Science 2025-06-10 Najwa Laabid , Severi Rissanen , Markus Heinonen , Arno Solin , Vikas Garg

Conditioning diffusion and flow models have proven effective for super-resolving small-scale details in natural images.However, in physical sciences such as weather, super-resolving small-scale details poses significant challenges due to:…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Stathi Fotiadis , Noah Brenowitz , Tomas Geffner , Yair Cohen , Michael Pritchard , Arash Vahdat , Morteza Mardani