Flow Matching

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Overview

Flow matching learns a velocity field that moves samples from a simple source, often Gaussian noise, toward a target data distribution. Conditional flow matching trains the field on paths between source and data samples, while optimal-transport couplings and rectified paths aim to make those trajectories easier to learn and integrate with an ordinary differential equation solver. Extensions handle discrete data, curved manifolds and symmetries, physical constraints, and applications from image and speech generation to robotics, scientific forecasting, and inverse problems. A central challenge is getting high fidelity and diverse, reliable samples with few solver steps; theory on convergence and stability is advancing, but the best paths, source distributions, and schedules depend on the task.

Latest papers

CardsList

663 papers123 papers in the last four weeks, up 68% on the four weeks before. 0.7% of all new papers.

  1. Synergizing Transport-Based Generative Models and Latent Geometry for Stochastic Closure Modeling

    Feb 19, 2026Xinghao Dong, Huchen Yang, Jin-long WuDiffusion Model SamplingFlow Matching

    Department of Mechanical Engineering, University of Wisconsin–Madison, Madison, WI 53706

  2. MolCrystalFlow: Molecular Crystal Structure Prediction via Flow Matching

    Feb 17, 2026Cheng Zeng, Harry W. Sullivan, Thomas Egg +8Crystal Structure PredictionFlow-Based Generative Modeling

    Department of Chemistry, University of Florida, Gainesville, FL 32611, USA · Quantum Theory Project, University of Florida, Gainesville, FL 32611, USA · Department of Chemical Engineering and Material Science, University of Minnesota - Twin Cities, Minneapolis, MN 55455, USA +6

  3. Native Extrapolation Awareness in Flow-Based Conditional Generation

    Feb 13, 2026Constantinos Tsakonas, Serena Ivaldi, Jean-Baptiste MouretFlow MatchingFlow-Based Generative Modeling

    Inria, Université de Lorraine, CNRS, Loria Nancy, France

  4. FAIL: Flow Matching Adversarial Imitation Learning for Image Generation

    Feb 12, 2026Yeyao Ma, Chen Li, Xiaosong Zhang +2Flow MatchingConditional Image Generation

    Shanghai Jiao Tong University · Xi’an Jiaotong University · Tencent

  5. Prediction--Loss Alignment for Sampler--Robust Flow Matching Training

    Feb 11, 2026Jiadong Hong, Lei Liu, Xinyu Bian +2Flow MatchingDiffusion Sampling

    Zhejiang University, Hangzhou, China · Huawei Technologies Co., Ltd, Hong Kong

  6. Flow Matching with Uncertainty Quantification and Guidance

    Feb 10, 2026Juyeop Han, Lukas Lao Beyer, Sertac KaramanFlow MatchingImage Generation

    MIT

  7. Learning on the Manifold: Unlocking Standard Diffusion Transformers with Representation Encoders

    Feb 10, 2026Amandeep Kumar, Vishal M. PatelFlow MatchingDiffusion Transformer

    Johns Hopkins University

  8. Is Flow Matching Just Trajectory Replay for Sequential Data?

    Feb 9, 2026Soon Hoe Lim, Shizheng Lin, Michael W. Mahoney +1Flow MatchingTime Series Generation

    Department of Mathematics, KTH Royal Institute of Technology · Nordita, KTH Royal Institute of Technology and Stockholm University · Department of Statistics, University of California at Berkeley +2

  9. Alleviating Sparse Rewards by Modeling Step-Wise and Long-Term Sampling Effects in Flow-Based GRPO

    Feb 6, 2026Yunze Tong, Mushui Liu, Canyu Zhao +7Flow MatchingTemporal Credit Assignment

    1Zhejiang University, Hangzhou, China · 2Taobao & Tmall Group of Alibaba, Hangzhou, China · 3Tsinghua University, Beijing, China

  10. Flow Matching for Offline Reinforcement Learning with Discrete Actions

    Feb 5, 2026Fairoz Nower Khan, Nabuat Zaman Nahim, Ruiquan Huang +2Markov ChainsReinforcement Learning

    Department of Computer Science, University of Kentucky · Department of Computing and Information Sciences, Rochester Institute of Technology

  11. Stable Velocity: A Variance Perspective on Flow Matching

    Feb 5, 2026Donglin Yang, Yongxing Zhang, Xin Yu +5Flow MatchingImage Generation

    University of Hong Kong, Hong Kong · University of British Columbia, Canada · Vector Institute for AI, Toronto, Canada +2

  12. Efficient Dataset Distillation for Pre-Trained Self-Supervised Models via Statistical Flow Matching

    Feb 5, 2026Qianxin Xia, Jiawei Du, Yuhan Zhang +6Flow MatchingDataset Distillation

    University of Electronic Science and Technology of China, Chengdu, China · CFAR, Singapore · SWJTU, Chengdu, China

  13. CoLA-Flow Policy: Temporally Coherent Imitation Learning via Continuous Latent Action Flow Matching for Robotic Manipulation

    Jan 30, 2026Wu Songwei, Jiang Zhiduo, Sun Wandong +4Flow MatchingLatent Action Learning

    Harbin Institute of Technology, Harbin 150001, China · Honor Device Co., Ltd., Shenzhen, China

  14. SplineFlow: Flow Matching for Dynamical Systems with B-Spline Interpolants

    Jan 30, 2026Santanu Subhash Rathod, Pietro Liò, Xiao ZhangFlow MatchingConditional Flow Matching

    CISPA Helmholtz Center for Information Security, Saarbrücken, Germany · Department of Computer Science and Technology, University of Cambridge, UK

  15. OneFlowSBI: One Model, Many Queries for Simulation-Based Inference

    Jan 30, 2026Mayank Nautiyal, Li Ju, Melker Ernfors +5Simulation-Based InferenceAmortized Inference

    Department of Information Technology, Uppsala University, Uppsala, Sweden · Science for Life Laboratory, Uppsala University, Uppsala, Sweden

  16. LatentFM: A Latent Flow Matching Approach for Generative Medical Image Segmentation

    Dec 4, 2025Ngoc Huynh Trinh, Hoang Anh Nguyen Kim, Hai Toan Nguyen +1Flow MatchingMedical Image Segmentation

    Institute for Artificial Intelligence, University of Engineering and Technology, Vietnam National University, Hanoi, Vietnam

  17. Score-Regularized Joint Sampling with Importance Weights for Flow Matching

    Nov 21, 2025Xinshuang Liu, Runfa Blark Li, Shaoxiu Wei +1Flow MatchingImportance Sampling

    University of California, San Diego · San Diego, CA, USA

  18. FUSE: A Flow-based Mapping Between Shapes

    Nov 17, 2025Lorenzo Olearo, Giulio Viganò, Daniele Baieri +2Flow MatchingNon-Rigid Shape Correspondence

    University of Milano-Bicocca, Milan, Italy · University of Bonn, Bonn, Germany · Lamarr Institute, Germany +1

  19. MedForj: An open, large-scale foundational generative prior for high-resolution 3D brain MRI

    Oct 29, 2025Samuel W. Remedios, Aaron Carass, Jerry L. Prince +1Flow MatchingHealthcare

    Image Analysis and Communications Laboratory, Johns Hopkins University · Department of Neurology, Johns Hopkins Hospital

  20. AlignFlow: Improving Flow-based Generative Models with Semi-Discrete Optimal Transport

    Oct 16, 2025Lingkai Kong, Molei Tao, Yang Liu +4Generative ModelingFlow-Based Generative Modeling

    Georgia Instatite of Technology · Amazon.com, Inc.

  21. Reinforcement Fine-Tuning of Flow-Matching Policies for Vision-Language-Action Models

    Oct 11, 2025Mingyang Lyu, Yinqian Sun, Erliang Lin +4Flow MatchingRobotic Manipulation

    Brain-inspired Cognitive AI Lab, Institute of Automation, Chinese Academy of Sciences, Beijing, China. · Beijing Institute of AI Safety and Governance, China. · University of Chinese Academy of Sciences (UCAS), Beijing, China. +3

  22. Predictive Feature Caching for Training-free Acceleration of Molecular Geometry Generation

    Oct 6, 2025Johanna Sommer, John Rachwan, Nils Fleischmann +2Flow MatchingEfficient Inference

    Pruna AI · Technical University of Munich, Germany

  23. Flow-Matching Guided Deep Unfolding for Hyperspectral Image Reconstruction

    Oct 2, 2025Yi Ai, Yuanhao Cai, Yulun Zhang +2Flow MatchingImage Reconstruction

    School of Computer Science, Shanghai Jiao Tong University, China · Department of Computer Science, Johns Hopkins University, USA · School of Engineering, Westlake University, China

  24. Multi-Marginal Flow Matching with Adversarially Learnt Interpolants

    Oct 1, 2025Oskar Kviman, Kirill Tamogashev, Nicola Branchini +3Flow MatchingTrajectory Inference

    KTH · University of Edinburgh

  25. Smooth Flow Matching for Synthesizing Functional Data

    Aug 19, 2025Jianbin Tan, Anru R. ZhangFunctional Data AnalysisFlow Matching

    Department of Biostatistics & Bioinformatics, Duke University, Durham, NC, USA · Department of Computer Science, Duke University, Durham, NC, USA

  26. Flow Matching for Efficient and Scalable Data Assimilation

    Aug 18, 2025Taos Transue, Bohan Chen, So Takao +1Flow MatchingKalman Filtering

    Department of Mathematics and Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, UT, 84112 · The Computing and Mathematical Sciences Department, California Institute of Technology, 1200 E California Blvd, Pasadena, CA 91125

  27. Quantum Flow Matching

    Aug 17, 2025Zidong Cui, Pan Zhang, Ying TangFlow MatchingQuantum Generative Modeling

    Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China · Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China · School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China +3

  28. Physics-Constrained Fine-Tuning of Flow-Matching Models for Generation and Inverse Problems

    Aug 5, 2025Jan Tauberschmidt, Sophie Fellenz, Sebastian J. Vollmer +1Physics-Informed Generative ModelingFlow Matching

    DSA, German Research Center for Artificial Intelligence (DFKI) · Department of Computer Science, University of Kaiserslautern–Landau (RPTU) · Department of Mathematics, Imperial College London

  29. MixGRPO: Unlocking Flow-based GRPO Efficiency with Mixed ODE-SDE

    Jul 29, 2025Junzhe Li, Yutao Cui, Tao Huang +8Diffusion Model AlignmentFlow Matching

    Hunyuan, Tencent, China · School of Computer Science, Peking University, China · Computer Center, Peking University, China +2

  30. UniConFlow: A Unified Constrained Flow-Matching Framework for Certified Motion Planning

    Jun 3, 2025Zewen Yang, Xiaobing Dai, Dian Yu +4Constrained Motion PlanningRobot Motion Generation

    Chair of Robotics and Systems Intelligence (RSI), Munich Institute of Robotics and Machine Intelligence (MIRMI), Technical University of Munich (TUM), 80992 Munich, Germany · Chair of Information-oriented Control (ITR), School of Computation, Information and Technology (CIT), Technical University of Munich (TUM), 80333 Munich, Germany · Chair of AI Planning in Dynamic Environments, Munich Institute of Robotics and Machine Intelligence (MIRMI), Technical University of Munich (TUM), 80992 Munich, Germany +2