English
Related papers

Related papers: Functional Flow Matching

200 papers

Streamflow, as a natural phenomenon, is continuous in time and so are the meteorological variables which influence its variability. In practice, it can be of interest to forecast the whole flow curve instead of points (daily or hourly). To…

Applications · Statistics 2016-10-20 Pierre Masselot , Sophie Dabo-Niang , Fateh Chebana , Taha B. M. J. Ouarda

Generative AI has achieved remarkable empirical success, but from the perspective of statistics it often remains opaque: its predictions may be accurate, yet the underlying mechanism is difficult to interpret, analyze, and trust. This book…

Machine Learning · Statistics 2026-03-11 Shinto Eguchi

Boltzmann Generators have emerged as a promising machine learning tool for generating samples from equilibrium distributions of molecular systems using Normalizing Flows and importance weighting. Recently, Flow Matching has helped speed up…

Machine Learning · Statistics 2025-10-21 Lorenz Vaitl , Leon Klein

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

Standard flow matching scales well but typically relies on an unstructured source distribution, limiting its ability to learn interpretable latent structure. Latent-variable models, by contrast, capture structure but often sacrifice…

Machine Learning · Computer Science 2026-05-11 Xavier Sumba , Carles Balsells-Rodas , Yingzhen Li

Controlling generative models is computationally expensive. This is because optimal alignment with a reward function--whether via inference-time steering or fine-tuning--requires estimating the value function. This task demands access to…

Machine Learning · Statistics 2026-01-22 Peter Potaptchik , Adhi Saravanan , Abbas Mammadov , Alvaro Prat , Michael S. Albergo , Yee Whye Teh

This paper proposes a vision-conditioned flow matching (FM) framework for beam prediction in millimeter-wave vehicle-to-infrastructure links. Instead of modeling discrete beam-index sequences, the proposed method learns the temporal…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Can Zheng , Jiguang He , Chung G. Kang , Guofa Cai , Chongwen Huang , Henk Wymeersch

Simulating trajectories of dynamical systems is a fundamental problem in a wide range of fields such as molecular dynamics, biochemistry, and pedestrian dynamics. Machine learning has become an invaluable tool for scaling physics-based…

Machine Learning · Computer Science 2026-05-28 Kiet Bennema ten Brinke , Koen Minartz , Vlado Menkovski

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

The generation of 3D molecules requires simultaneously deciding the categorical features~(atom types) and continuous features~(atom coordinates). Deep generative models, especially Diffusion Models (DMs), have demonstrated effectiveness in…

Machine Learning · Computer Science 2023-12-13 Yuxuan Song , Jingjing Gong , Minkai Xu , Ziyao Cao , Yanyan Lan , Stefano Ermon , Hao Zhou , Wei-Ying Ma

Flow Matching (FM) underpins many state-of-the-art generative models, yet recent results indicate that Transition Matching (TM) can achieve higher quality with fewer sampling steps. This work answers the question of when and why TM…

Machine Learning · Computer Science 2026-05-22 Jaihoon Kim , Rajarshi Saha , Minhyuk Sung , Youngsuk Park

Neural posterior estimation methods based on discrete normalizing flows have become established tools for simulation-based inference (SBI), but scaling them to high-dimensional problems can be challenging. Building on recent advances in…

Machine Learning · Computer Science 2023-10-30 Maximilian Dax , Jonas Wildberger , Simon Buchholz , Stephen R. Green , Jakob H. Macke , Bernhard Schölkopf

We present Preference Flow Matching (PFM), a new framework for preference-based reinforcement learning (PbRL) that streamlines the integration of preferences into an arbitrary class of pre-trained models. Existing PbRL methods require…

Machine Learning · Computer Science 2024-10-29 Minu Kim , Yongsik Lee , Sehyeok Kang , Jihwan Oh , Song Chong , Se-Young Yun

Flow maps enable high-quality image generation in a single forward pass. However, unlike iterative diffusion models, their lack of an explicit sampling trajectory impedes incorporating external constraints for conditional generation and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Abbas Mammadov , So Takao , Bohan Chen , Ricardo Baptista , Morteza Mardani , Yee Whye Teh , Julius Berner

In recent years, point cloud generation has gained significant attention in 3D generative modeling. Among existing approaches, point-based methods directly generate point clouds without relying on other representations such as latent…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Petr Molodyk , Jaemoo Choi , David W. Romero , Ming-Yu Liu , Yongxin Chen

Generative Flow Networks (GFlowNets) have been introduced as a method to sample a diverse set of candidates in an active learning context, with a training objective that makes them approximately sample in proportion to a given reward…

Machine Learning · Computer Science 2026-01-27 Yoshua Bengio , Salem Lahlou , Tristan Deleu , Edward J. Hu , Mo Tiwari , Emmanuel Bengio

We introduce Midpoint Generative Models (MGM), a principled framework for training one-step generative models. MGM is based on a simple symmetry of Flow Matching with linear interpolation: when the two endpoint distributions coincide, the…

Machine Learning · Computer Science 2026-05-29 Daniil Shlenskii , Nikita Gushchin , Lev Novitskiy , Dmitry V. Dylov , Alexander Korotin

Flow Matching enables simulation-free training of generative models on Riemannian manifolds, yet sampling typically still relies on numerically integrating a probability-flow ODE. We propose Riemannian MeanFlow (RMF), extending MeanFlow to…

Machine Learning · Computer Science 2026-05-21 Zichen Zhong , Haoliang Sun , Yukun Zhao , Yongshun Gong , Yilong Yin

We introduce CaLMFlow (Causal Language Models for Flow Matching), a novel framework that casts flow matching as a Volterra integral equation (VIE), leveraging the power of large language models (LLMs) for continuous data generation.…

Continuous normalizing flows (CNFs) learn an ordinary differential equation to transform prior samples into data. Flow matching (FM) has recently emerged as a simulation-free approach for training CNFs by regressing a velocity model towards…

Machine Learning · Statistics 2024-05-28 Tianyu Xie , Yu Zhu , Longlin Yu , Tong Yang , Ziheng Cheng , Shiyue Zhang , Xiangyu Zhang , Cheng Zhang