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While flow matching is elegant, its reliance on single-sample conditional velocities leads to high-variance training targets that destabilize optimization and slow convergence. By explicitly characterizing this variance, we identify 1) a…

计算机视觉与模式识别 · 计算机科学 2026-02-06 Donglin Yang , Yongxing Zhang , Xin Yu , Liang Hou , Xin Tao , Pengfei Wan , Xiaojuan Qi , Renjie Liao

Conditional flow matching (CFM) has emerged as a powerful framework for training continuous normalizing flows due to its computational efficiency and effectiveness. However, standard CFM often produces paths that deviate significantly from…

Flow matching (FM) trains a time-dependent vector field that transports samples from a simple prior to a complex data distribution. However, for high-dimensional images, each training sample supervises only a single trajectory and…

计算机视觉与模式识别 · 计算机科学 2026-05-04 George Stoica , Sayak Paul , Matthew Wallingford , Vivek Ramanujan , Abhay Nori , Winson Han , Ali Farhadi , Ranjay Krishna , Judy Hoffman

Flow Matching (FM) has recently emerged as a powerful approach for high-quality visual generation. However, their prohibitively slow inference due to a large number of denoising steps limits their potential use in real-time or interactive…

计算机视觉与模式识别 · 计算机科学 2026-02-03 Divya Jyoti Bajpai , Shubham Agarwal , Apoorv Saxena , Kuldeep Kulkarni , Subrata Mitra , Manjesh Kumar Hanawal

We propose Shallow Flow Matching (SFM), a novel mechanism that enhances flow matching (FM)-based text-to-speech (TTS) models within a coarse-to-fine generation paradigm. Unlike conventional FM modules, which use the coarse representations…

音频与语音处理 · 电气工程与系统科学 2025-10-24 Dong Yang , Yiyi Cai , Yuki Saito , Lixu Wang , Hiroshi Saruwatari

Flow matching has emerged as a simulation-free alternative to diffusion-based generative modeling, producing samples by solving an ODE whose time-dependent velocity field is learned along an interpolation between a simple source…

机器学习 · 统计学 2026-04-10 Shivam Kumar , Yixin Wang , Lizhen 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

Flow matching (FM) has shown promising results in data-driven planning. However, it inherently lacks formal guarantees for ensuring state and action constraints, whose satisfaction is a fundamental and crucial requirement for the safety and…

Straightening the probability flow of the continuous-time generative models, such as diffusion models or flow-based models, is the key to fast sampling through the numerical solvers, existing methods learn a linear path by directly…

机器学习 · 计算机科学 2024-02-16 Jongmin Yoon , Juho Lee

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…

计算机视觉与模式识别 · 计算机科学 2025-06-11 Zhiyuan Ma , Ruixun Liu , Sixian Liu , Jianjun Li , Bowen Zhou

Flow Matching (FM) has recently emerged as a principled and efficient alternative to diffusion models. Standard FM encourages the learned velocity field to follow a target direction; however, it may accumulate errors along the trajectory…

计算机视觉与模式识别 · 计算机科学 2026-03-03 Zong-Wei Hong , Jing-lun Li , Lin-Ze Li , Shen Zhang , Yao Tang

Fitting probabilistic models to data is often difficult, due to the general intractability of the partition function and its derivatives. Here we propose a new parameter estimation technique that does not require computing an intractable…

机器学习 · 计算机科学 2015-03-13 Jascha Sohl-Dickstein , Peter Battaglino , Michael R. DeWeese

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…

Rectified flow and reflow procedures have significantly advanced fast generation by progressively straightening ordinary differential equation (ODE) flows. They operate under the assumption that image and noise pairs, known as couplings,…

机器学习 · 计算机科学 2024-11-04 Dogyun Park , Sojin Lee , Sihyeon Kim , Taehoon Lee , Youngjoon Hong , Hyunwoo J. Kim

Fast flow models accelerate the iterative sampling process by learning to directly predict ODE path integrals, enabling one-step or few-step generation. However, we argue that current fast-flow training paradigms suffer from two fundamental…

计算机视觉与模式识别 · 计算机科学 2026-02-09 Tianyi Zhang , Chengcheng Liu , Jinwei Chen , Chun-Le Guo , Chongyi Li , Ming-Ming Cheng , Bo Li , Peng-Tao Jiang

Continuous normalizing flows (CNFs) can model data distributions with expressive infinite-length architectures. But this modeling involves computationally expensive process of solving an ordinary differential equation (ODE) during maximum…

机器学习 · 计算机科学 2024-10-15 Denis Gudovskiy , Tomoyuki Okuno , Yohei Nakata

Learning the inverse dynamics of soft continuum robots remains challenging due to high-dimensional nonlinearities and complex actuation coupling. Conventional feedback-based controllers often suffer from control chattering due to corrective…

机器人学 · 计算机科学 2026-04-06 Hang Yang , Fangju Yang , Yangming Zhang , Ibrahim Alsarraj , Yuhao Wang , Zhenye Luo , Zixi Chen , Ke Wu

Generative models excel at synthesizing high-fidelity samples from complex data distributions, but they often violate hard constraints arising from physical laws or task specifications. A common remedy is to project intermediate samples…

机器学习 · 计算机科学 2025-09-30 Jinhao Liang , Yixuan Sun , Anirban Samaddar , Sandeep Madireddy , Ferdinando Fioretto

Conditional Flow Matching (CFM) unifies conventional generative paradigms such as diffusion models and flow matching. Interaction Field Matching (IFM) is a newer framework that generalizes Electrostatic Field Matching (EFM) rooted in…

机器学习 · 计算机科学 2026-02-03 Daniil Shlenskii , Alexander Varlamov , Nazar Buzun , Alexander Korotin

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