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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

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

Diffusion models have significantly improved the quality and diversity of audio generation but are hindered by slow inference speed. Rectified flow enhances inference speed by learning straight-line ordinary differential equation (ODE)…

Sound · Computer Science 2025-05-29 Junqi Zhao , Jinzheng Zhao , Haohe Liu , Yun Chen , Lu Han , Xubo Liu , Mark Plumbley , Wenwu Wang

Continuous normalizing flows (CNFs) construct invertible mappings between an arbitrary complex distribution and an isotropic Gaussian distribution using Neural Ordinary Differential Equations (neural ODEs). It has not been tractable on…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Shian Du , Yihong Luo , Wei Chen , Jian Xu , Delu Zeng

Classifier-free guidance (CFG) is the workhorse for steering large diffusion models toward text-conditioned targets, yet its native application to rectified flow (RF) based models provokes severe off-manifold drift, yielding visual…

Computer Vision and Pattern Recognition · Computer Science 2025-10-10 Shreshth Saini , Shashank Gupta , Alan C. Bovik

Continuous normalizing flows (CNFs) are an attractive generative modeling technique, but they have been held back by limitations in their simulation-based maximum likelihood training. We introduce the generalized conditional flow matching…

Flow Matching has limited ability in achieving one-step generation due to its reliance on learned curved trajectories. Previous studies have attempted to address this limitation by either modifying the coupling distribution to prevent…

Machine Learning · Computer Science 2025-11-25 Chenrui Ma , Xi Xiao , Tianyang Wang , Xiao Wang , Yanning Shen

We introduce a new paradigm for generative modeling built on Continuous Normalizing Flows (CNFs), allowing us to train CNFs at unprecedented scale. Specifically, we present the notion of Flow Matching (FM), a simulation-free approach for…

Machine Learning · Computer Science 2023-02-09 Yaron Lipman , Ricky T. Q. Chen , Heli Ben-Hamu , Maximilian Nickel , Matt Le

Flow-matching models deliver state-of-the-art fidelity in image and video generation, but the inherent sequential denoising process renders them slower. Existing acceleration methods like distillation, trajectory truncation, and consistency…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Divya Jyoti Bajpai , Dhruv Bhardwaj , Soumya Roy , Tejas Duseja , Harsh Agarwal , Aashay Sandansing , Manjesh Kumar Hanawal

Generative models have emerged as a powerful paradigm for solving physics systems and modeling complex spatiotemporal dynamics. However, achieving high physical accuracy without incurring high computational cost remains a fundamental…

Machine Learning · Computer Science 2026-05-27 Jiahe Huang , Sihan Xu , Sharvaree Vadgama , Rose Yu

Flow Matching has become a cornerstone of modern generative models like Stable Diffusion 3, largely due to the efficiency of its Rectified Flow (RF) variant. The success of RF hinges on iteratively learning straight trajectories, pushing…

Machine Learning · Computer Science 2026-05-19 Vansh Bansal , Saptarshi Roy , Purnamrita Sarkar , Alessandro Rinaldo

Diffusion and flow matching (FM) models have achieved remarkable progress in speech enhancement (SE), yet their dependence on multi-step generation is computationally expensive and vulnerable to discretization errors. Recent advances in…

Sound · Computer Science 2025-09-23 Gang Yang , Yue Lei , Wenxin Tai , Jin Wu , Jia Chen , Ting Zhong , Fan Zhou

Conditional Flow Matching (CFM), a simulation-free method for training continuous normalizing flows, provides an efficient alternative to diffusion models for key tasks like image and video generation. The performance of CFM in solving…

Machine Learning · Computer Science 2026-03-17 Aram Davtyan , Leello Tadesse Dadi , Volkan Cevher , Paolo Favaro

A normalizing flow is an invertible mapping between an arbitrary probability distribution and a standard normal distribution; it can be used for density estimation and statistical inference. Computing the flow follows the change of…

Machine Learning · Computer Science 2021-12-10 Derek Onken , Samy Wu Fung , Xingjian Li , Lars Ruthotto

Recent works on optical flow estimation use neural networks to predict the flow field that maps positions of one image to positions of the other. These networks consist of a feature extractor, a correlation volume, and finally several…

Computer Vision and Pattern Recognition · Computer Science 2025-06-05 Leyla Mirvakhabova , Hong Cai , Jisoo Jeong , Hanno Ackermann , Farhad Zanjani , Fatih Porikli

Flow matching as a paradigm of generative model achieves notable success across various domains. However, existing methods use either multi-round training or knowledge within minibatches, posing challenges in finding a favorable coupling…

Computer Vision and Pattern Recognition · Computer Science 2025-09-05 Siyu Xing , Jie Cao , Huaibo Huang , Haichao Shi , Xiao-Yu Zhang

Ordinary differential equation (ODE) based generative models have emerged as a powerful approach for producing high-quality samples in many applications. However, the ODE-based methods either suffer the discretization error of numerical…

Computer Vision and Pattern Recognition · Computer Science 2025-04-30 Jingjing Wang , Dan Zhang , Joshua Luo , Yin Yang , Feng Luo

Recently, the rectified flow (RF) has emerged as the new state-of-the-art among flow-based diffusion models due to its high efficiency advantage in straight path sampling, especially with the amazing images generated by a series of RF…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Zhiyuan Ma , Ruixun Liu , Sixian Liu , Jianjun Li , Bowen Zhou

Recent learning-based methods for event-based optical flow estimation utilize cost volumes for pixel matching but suffer from redundant computations and limited scalability to higher resolutions for flow refinement. In this work, we take…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Daikun Liu , Lei Cheng , Teng Wang , changyin Sun

Generative models have emerged as a promising paradigm for offline multi-agent reinforcement learning (MARL), but existing approaches require many iterative sampling steps. Recent few-step acceleration methods either distill a joint teacher…

Artificial Intelligence · Computer Science 2026-05-14 Guowei Zou , Haitao Wang , Beiwen Zhang , Boning Zhang , Hejun Wu