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A generative model based on a continuous-time normalizing flow between any pair of base and target probability densities is proposed. The velocity field of this flow is inferred from the probability current of a time-dependent density that…

机器学习 · 计算机科学 2023-03-10 Michael S. Albergo , Eric Vanden-Eijnden

Recent years have witnessed the rapid progress and broad application of diffusion probabilistic models (DPMs). Sampling from DPMs can be viewed as solving an ordinary differential equation (ODE). Despite the promising performance, the…

人工智能 · 计算机科学 2023-12-13 Enshu Liu , Xuefei Ning , Huazhong Yang , Yu Wang

Diffusion models have shown great promise for image and video generation, but sampling from state-of-the-art models requires expensive numerical integration of a generative ODE. One approach for tackling this problem is rectified flows,…

计算机视觉与模式识别 · 计算机科学 2024-10-10 Sangyun Lee , Zinan Lin , Giulia Fanti

Flow Matching (FM) constructs linear conditional probability paths, but the learned marginal velocity field inevitably exhibits strong curvature due to trajectory superposition. This curvature severely inflates numerical truncation errors,…

机器学习 · 计算机科学 2026-04-07 Tauhid Khan

Pre-trained diffusion models are commonly used to generate clean data (e.g., images) from random noises, effectively forming pairs of noises and corresponding clean images. Distillation on these pre-trained models can be viewed as the…

计算机视觉与模式识别 · 计算机科学 2025-10-03 Zhangkai Wu , Xuhui Fan , Hongyu Wu , Longbing Cao

Score-based generative models, which transform noise into data by learning to reverse a diffusion process, have become a cornerstone of modern generative AI. This paper contributes to establishing theoretical guarantees for the probability…

机器学习 · 统计学 2025-02-03 Jiaqi Tang , Yuling Yan

We investigate the use of diffusion models as neural density estimators. The current approach to this problem involves converting the generative process to a smooth flow, known as the Probability Flow ODE. The log density at a given sample…

机器学习 · 计算机科学 2024-10-10 Akhil Premkumar

Statistical surrogate modeling of fluid flows is hard because dynamics are multiscale and highly sensitive to initial conditions. Conditional diffusion surrogates can be accurate, but usually need hundreds of stochastic sampling steps. We…

机器学习 · 计算机科学 2026-02-10 Victor Armegioiu , Yannick Ramic , Siddhartha Mishra

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…

机器学习 · 计算机科学 2026-05-19 Vansh Bansal , Saptarshi Roy , Purnamrita Sarkar , Alessandro Rinaldo

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…

机器学习 · 计算机科学 2025-11-25 Chenrui Ma , Xi Xiao , Tianyang Wang , Xiao Wang , Yanning Shen

MeanFlow offers a promising framework for one-step generative modeling by directly learning a mean-velocity field, bypassing expensive numerical integration. However, we find that the highly curved generative trajectories of existing models…

计算机视觉与模式识别 · 计算机科学 2026-03-31 Xinxi Zhang , Shiwei Tan , Quang Nguyen , Quan Dao , Ligong Han , Xiaoxiao He , Tunyu Zhang , Chengzhi Mao , Dimitris Metaxas , Vladimir Pavlovic

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…

计算机视觉与模式识别 · 计算机科学 2025-06-05 Leyla Mirvakhabova , Hong Cai , Jisoo Jeong , Hanno Ackermann , Farhad Zanjani , Fatih Porikli

The diffusion model has shown remarkable success in computer vision, but it remains unclear whether the ODE-based probability flow or the SDE-based diffusion model is more superior and under what circumstances. Comparing the two is…

机器学习 · 计算机科学 2023-11-08 Yu Cao , Jingrun Chen , Yixin Luo , Xiang Zhou

Enhancing the efficiency of high-quality image generation using Diffusion Models (DMs) is a significant challenge due to the iterative nature of the process. Flow Matching (FM) is emerging as a powerful generative modeling paradigm based on…

计算机视觉与模式识别 · 计算机科学 2025-05-28 Pascal Zwick , Nils Friederich , Maximilian Beichter , Lennart Hilbert , Ralf Mikut , Oliver Bringmann

Deterministic flow models, such as rectified flows, offer a general framework for learning a deterministic transport map between two distributions, realized as the vector field for an ordinary differential equation (ODE). However, they are…

机器学习 · 计算机科学 2024-10-04 Saurabh Singh , Ian Fischer

We propose an inference-time scaling approach for pretrained flow models. Recently, inference-time scaling has gained significant attention in LLMs and diffusion models, improving sample quality or better aligning outputs with user…

计算机视觉与模式识别 · 计算机科学 2025-10-27 Jaihoon Kim , Taehoon Yoon , Jisung Hwang , Minhyuk Sung

We survey continuous-time generative modeling methods based on transporting a simple reference distribution to a data distribution via stochastic or deterministic dynamics. We present a unified framework in which diffusion models,…

机器学习 · 计算机科学 2026-05-11 Aditya Ranganath , Mukesh Singhal

Continuous-time generative models, such as Flow Matching (FM), construct probability paths to transport between one distribution and another through the simulation-free learning of the neural ordinary differential equations (ODEs). During…

机器学习 · 计算机科学 2024-05-24 Qunxi Zhu , Wei Lin

Flow matching has recently emerged as a promising alternative to diffusion-based generative models, offering faster sampling and simpler training by learning continuous flows governed by ordinary differential equations. Despite growing…

机器学习 · 计算机科学 2025-12-02 Mudit Gaur , Prashant Trivedi , Shuchin Aeron , Amrit Singh Bedi , George K. Atia , Vaneet Aggarwal

Diffusion-based generative models have achieved state-of-the-art performance for perceptual quality in speech enhancement (SE). However, their iterative nature requires numerous Neural Function Evaluations (NFEs), posing a challenge for…