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Equivariance is central to graph generative models, as it ensures the model respects the permutation symmetry of graphs. However, strict equivariance can increase computational cost due to added architectural constraints, and can slow down…

Machine Learning · Computer Science 2026-02-23 Benjamin Honoré , Alba Carballo-Castro , Yiming Qin , Pascal Frossard

The goal of point cloud assembly is to reconstruct a complete 3D shape by aligning multiple point cloud pieces. This work presents a novel equivariant solver for assembly tasks based on flow matching models. We first theoretically show that…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Ziming Wang , Nan Xue , Rebecka Jörnsten

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

Generative models, especially diffusion models (DMs), have achieved promising results for generating feature-rich geometries and advancing foundational science problems such as molecule design. Inspired by the recent huge success of Stable…

Machine Learning · Computer Science 2023-05-03 Minkai Xu , Alexander Powers , Ron Dror , Stefano Ermon , Jure Leskovec

Diversified distribution matching (DDM) finds a unified translation function mapping a diverse collection of conditional source distributions to their target counterparts. DDM was proposed to resolve content misalignment issues in unpaired…

Machine Learning · Computer Science 2025-11-11 Sagar Shrestha , Xiao Fu

Deep generative models (DGM) are neural networks with many hidden layers trained to approximate complicated, high-dimensional probability distributions using a large number of samples. When trained successfully, we can use the DGMs to…

Machine Learning · Computer Science 2021-04-13 Lars Ruthotto , Eldad Haber

Navigating the vast chemical space of druggable compounds is a formidable challenge in drug discovery, where generative models are increasingly employed to identify viable candidates. Conditional 3D structure-based drug design (3D-SBDD)…

Machine Learning · Computer Science 2025-02-04 Kiwoong Yoo , Owen Oertell , Junhyun Lee , Sanghoon Lee , Jaewoo Kang

We introduce COT-FM, a general framework that reshapes the probability path in Flow Matching (FM) to achieve faster and more reliable generation. FM models often produce curved trajectories due to random or batchwise couplings, which…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Chiensheng Chiang , Kuan-Hsun Tu , Jia-Wei Liao , Cheng-Fu Chou , Tsung-Wei Ke

We present a generative learning framework for probabilistic sampling based on an extension of the Probabilistic Learning on Manifolds (PLoM) approach, which is designed to generate statistically consistent realizations of a random vector…

Machine Learning · Statistics 2025-06-04 Dimitris G Giovanis , Nikolaos Evangelou , Ioannis G Kevrekidis , Roger G Ghanem

The blooming diffusion probabilistic models (DPMs) have garnered significant interest due to their impressive performance and the elegant inspiration they draw from physics. While earlier DPMs relied upon the Markovian assumption, recent…

Artificial Intelligence · Computer Science 2023-12-12 Bowen Sun , Shibao Zheng

Multi-Robot Motion Planning (MRMP) involves generating collision-free trajectories for multiple robots operating in a shared continuous workspace. While discrete multi-agent path finding (MAPF) methods are broadly adopted due to their…

Robotics · Computer Science 2025-08-28 Jinhao Liang , Sven Koenig , Ferdinando Fioretto

We introduce Statistical Flow Matching (SFM), a novel and mathematically rigorous flow-matching framework on the manifold of parameterized probability measures inspired by the results from information geometry. We demonstrate the…

Machine Learning · Computer Science 2025-11-26 Chaoran Cheng , Jiahan Li , Jian Peng , Ge Liu

Dataset distillation compresses large datasets into compact synthetic sets with comparable performance in training models. Despite recent progress on diffusion-based distillation, this type of method typically depends on heuristic guidance…

Machine Learning · Computer Science 2026-02-06 Xuhui Li , Zhengquan Luo , Xiwei Liu , Yongqiang Yu , Zhiqiang Xu

Generative models for image generation are now commonly used for a wide variety of applications, ranging from guided image generation for entertainment to solving inverse problems. Nonetheless, training a generator is a non-trivial feat…

Machine Learning · Computer Science 2025-03-07 Eldad Haber , Shadab Ahamed , Md. Shahriar Rahim Siddiqui , Niloufar Zakariaei , Moshe Eliasof

Shape-based virtual screening is widely employed in ligand-based drug design to search chemical libraries for molecules with similar 3D shapes yet novel 2D chemical structures compared to known ligands. 3D deep generative models have the…

Chemical Physics · Physics 2022-10-12 Keir Adams , Connor W. Coley

Designing biological sequences that satisfy multiple, often conflicting, functional and biophysical criteria remains a central challenge in biomolecule engineering. While discrete flow matching models have recently shown promise for…

Machine Learning · Computer Science 2025-05-15 Tong Chen , Yinuo Zhang , Sophia Tang , Pranam Chatterjee

Diffusion models (DMs) have established themselves as the state-of-the-art generative modeling approach in the visual domain and beyond. A crucial drawback of DMs is their slow sampling speed, relying on many sequential function evaluations…

Computer Vision and Pattern Recognition · Computer Science 2024-04-24 Amirmojtaba Sabour , Sanja Fidler , Karsten Kreis

Designing molecules with desirable physiochemical properties and functionalities is a long-standing challenge in chemistry, material science, and drug discovery. Recently, machine learning-based generative models have emerged as promising…

Biomolecules · Quantitative Biology 2023-04-26 Zaixi Zhang , Qi Liu , Chee-Kong Lee , Chang-Yu Hsieh , Enhong Chen

Flow matching casts sample generation as learning a continuous-time velocity field that transports noise to data. Existing flow matching networks typically predict each point's velocity independently, considering only its location and time…

Machine Learning · Computer Science 2025-11-11 Md Shahriar Rahim Siddiqui , Moshe Eliasof , Eldad Haber

Diffusion models have achieved significant progress in both image and video generation while still suffering from huge computation costs. As an effective solution, flow matching aims to reflow the diffusion process of diffusion models into…

Graphics · Computer Science 2025-03-13 Lei Ke , Haohang Xu , Xuefei Ning , Yu Li , Jiajun Li , Haoling Li , Yuxuan Lin , Dongsheng Jiang , Yujiu Yang , Linfeng Zhang
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