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Computational methods that operate on three-dimensional molecular structure have the potential to solve important questions in biology and chemistry. In particular, deep neural networks have gained significant attention, but their…

Deep generative models have recently achieved superior performance in 3D molecule generation. Most of them first generate atoms and then add chemical bonds based on the generated atoms in a post-processing manner. However, there might be no…

Biomolecules · Quantitative Biology 2023-05-15 Xingang Peng , Jiaqi Guan , Qiang Liu , Jianzhu Ma

Diffusion generative models have emerged as a powerful framework for addressing problems in structural biology and structure-based drug design. These models operate directly on 3D molecular structures. Due to the unfavorable scaling of…

Biomolecules · Quantitative Biology 2024-05-10 Ian Dunn , David Ryan Koes

Designing new molecules is essential for drug discovery and material science. Recently, deep generative models that aim to model molecule distribution have made promising progress in narrowing down the chemical research space and generating…

Biomolecules · Quantitative Biology 2023-06-06 Han Huang , Leilei Sun , Bowen Du , Weifeng Lv

Generative models for 3D molecular conformations must respect Euclidean symmetries and concentrate probability mass on thermodynamically favorable, mechanically stable structures. However, E(3)-equivariant diffusion models often reproduce…

Machine Learning · Computer Science 2026-01-30 Yunyang Li , Lin Huang , Luojia Xia , Wenhe Zhang , Mark Gerstein

Generative modeling within constrained sets is essential for scientific and engineering applications involving physical, geometric, or safety requirements (e.g., molecular generation, robotics). We present a unified framework for…

Machine Learning · Computer Science 2026-04-21 Kijung Jeon , Michael Muehlebach , Molei Tao

This work introduces MiDi, a novel diffusion model for jointly generating molecular graphs and their corresponding 3D arrangement of atoms. Unlike existing methods that rely on predefined rules to determine molecular bonds based on the 3D…

Machine Learning · Computer Science 2023-06-06 Clement Vignac , Nagham Osman , Laura Toni , Pascal Frossard

Diffusion models have emerged as the new state-of-the-art generative model with high quality samples, with intriguing properties such as mode coverage and high flexibility. They have also been shown to be effective inverse problem solvers,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Hyungjin Chung , Dohoon Ryu , Michael T. McCann , Marc L. Klasky , Jong Chul Ye

Diffusion models have shown great promise for image generation, beating GANs in terms of generation diversity, with comparable image quality. However, their application to 3D shapes has been limited to point or voxel representations that…

Computer Vision and Pattern Recognition · Computer Science 2022-12-16 Gimin Nam , Mariem Khlifi , Andrew Rodriguez , Alberto Tono , Linqi Zhou , Paul Guerrero

Convolutional neural networks (CNNs) allow for parameter sharing and translational equivariance by using convolutional kernels in their linear layers. By restricting these kernels to be SO(3)-steerable, CNNs can further improve parameter…

Image and Video Processing · Electrical Eng. & Systems 2024-05-20 Ivan Diaz , Mario Geiger , Richard Iain McKinley

Analyzing scalar and vector fields on the sphere, such as temperature or wind speed and direction on Earth, is a difficult task. Models should respect both the rotational symmetries of the sphere and the inherent symmetries of the vector…

Machine Learning · Computer Science 2026-04-01 Francesco Ballerin , Nello Blaser , Erlend Grong

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

Temporally consistent video-to-video generation is critical for applications such as style transfer and upsampling. In this paper, we provide a theoretical analysis of warped noise - a recently proposed technique for training video…

Computer Vision and Pattern Recognition · Computer Science 2025-10-17 Chao Liu , Arash Vahdat

The use of machine learning for modeling, understanding, and controlling large-scale physics systems is quickly gaining in popularity, with examples ranging from electromagnetism over nuclear fusion reactors and magneto-hydrodynamics to…

Machine Learning · Computer Science 2025-09-25 Fynn Fromme , Hans Harder , Christine Allen-Blanchette , Sebastian Peitz

Molecules in equilibrium follow a Boltzmann distribution, making the underlying energy landscape a physically grounded modeling objective. However, such landscapes are difficult to learn from data and, once learned, hard to sample from.…

Machine Learning · Computer Science 2026-05-19 Christoph Griesbacher , Lea Bogensperger , Andreas Habring , Thomas Pock

A generative model capable of sampling realistic molecules with desired properties could accelerate chemical discovery across a wide range of applications. Toward this goal, significant effort has focused on developing models that jointly…

Machine Learning · Computer Science 2025-08-19 Ian Dunn , David R. Koes

Previously, non-autoregressive models were widely perceived as being superior in generation efficiency but inferior in generation quality due to the difficulties of modeling multiple target modalities. To enhance the multi-modality modeling…

Computation and Language · Computer Science 2023-11-30 Lihua Qian , Mingxuan Wang , Yang Liu , Hao Zhou

A truly generalizable approach to rigid segmentation and motion estimation is fundamental to 3D understanding of articulated objects and moving scenes. In view of the closely intertwined relationship between segmentation and motion…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Jia-Xing Zhong , Ta-Ying Cheng , Yuhang He , Kai Lu , Kaichen Zhou , Andrew Markham , Niki Trigoni

This article deals with approximating steady-state particle-resolved fluid flow around a fixed particle of interest under the influence of randomly distributed stationary particles in a dispersed multiphase setup using Convolutional Neural…

Fluid Dynamics · Physics 2021-10-25 Bhargav Sriram Siddani , S. Balachandar , Ruogu Fang

Denoising diffusion models have shown great potential in multiple research areas. Existing diffusion-based generative methods on de novo 3D molecule generation face two major challenges. Since majority heavy atoms in molecules allow…

Machine Learning · Computer Science 2024-04-23 Can Xu , Haosen Wang , Weigang Wang , Pengfei Zheng , Hongyang Chen
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