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Rectified flow (Liu et al., 2022; Liu, 2022; Wu et al., 2023) is a method for defining a transport map between two distributions, and enjoys popularity in machine learning, although theoretical results supporting the validity of these…

Statistics Theory · Mathematics 2025-12-11 Gonzalo Mena , Arun Kumar Kuchibhotla , Larry Wasserman

In image restoration, single-step discriminative mappings often lack fine details via expectation learning, whereas generative paradigms suffer from inefficient multi-step sampling and noise-residual coupling. To address this dilemma, we…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Zihao Fan , Xin Lu , Jie Xiao , Dong Li , Jie Huang , Xueyang Fu

Flow matching policies learn continuous velocity fields that transport noise to actions, enabling fast deterministic inference for robot manipulation. However, standard training optimizes a pointwise velocity objective while inference…

Robotics · Computer Science 2026-05-12 Riad Ahmed , Sujosh Nag , Moniruzzaman Akash , Mostafa Hussein , Momotaz Begum

We present ReFlow, a unified framework for monocular dynamic scene reconstruction that learns 3D motion in a novel self-correction manner from raw video. Existing methods often suffer from incomplete scene initialization for dynamic…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Yanzhe Liang , Ruijie Zhu , Hanzhi Chang , Zhuoyuan Li , Jiahao Lu , Tianzhu Zhang

Reinforcement learning (RL) has become a standard technique for post-training diffusion-based image synthesis models, as it enables learning from reward signals to explicitly improve desirable aspects such as image quality and prompt…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 David McAllister , Miika Aittala , Tero Karras , Janne Hellsten , Angjoo Kanazawa , Timo Aila , Samuli Laine

We present a generative modeling framework for synthesizing physically feasible two-dimensional incompressible flows under arbitrary obstacle geometries and boundary conditions. Whereas existing diffusion-based flow generators either ignore…

Fluid Dynamics · Physics 2026-02-23 Noah Trupin , Rahul Ghosh , Aadi Jangid

Conditional flow matching (CFM) stands out as an efficient, simulation-free approach for training flow-based generative models, achieving remarkable performance for data generation. However, CFM is insufficient to ensure accuracy in…

Machine Learning · Computer Science 2026-02-03 Yuhao Huang , Taos Transue , Shih-Hsin Wang , William Feldman , Hong Zhang , Bao Wang

We present theoretical and numerical results concerning the problem to find the path that minimizes the time to navigate between two given points in a complex fluid under realistic navigation constraints. We contrast deterministic Optimal…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Michele Buzzicotti , Luca Biferale , Fabio Bonaccorso , Patricio Clark di Leoni , Kristian Gustavsson

Discrete Flow-based Models (DFMs) are powerful generative models for high-quality discrete data but typically suffer from slow sampling speeds due to their reliance on iterative decoding processes. This reliance on a multi-step process…

Machine Learning · Computer Science 2025-10-21 Jaehoon Yoo , Wonjung Kim , Seunghoon Hong

Recent advances in flow-based generative models have enabled training-free, text-guided image editing by inverting an image into its latent noise and regenerating it under a new target conditional guidance. However, existing methods…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Thinh Dao , Zhen Wang , Kien T. Pham , Long Chen

Taming diffusion models for generative segmentation has attracted increasing attention. While existing approaches primarily focus on architectural tweaks or training heuristics, there remains a limited understanding of the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Chaoyang Wang , Yaobo Liang , Boci Peng , Fan Duan , Jingdong Wang , Yunhai Tong

In Rectified Flow, by obtaining the rectified flow several times, the mapping relationship between distributions can be distilled into a neural network, and the target distribution can be directly predicted by the straight lines of the…

Machine Learning · Computer Science 2025-03-24 Ling Feng , SK Yang

Taming the generation outcome of state of the art Diffusion and Flow-Matching (FM) models without having to re-train a task-specific model unlocks a powerful tool for solving inverse problems, conditional generation, and controlled…

Machine Learning · Computer Science 2024-07-23 Heli Ben-Hamu , Omri Puny , Itai Gat , Brian Karrer , Uriel Singer , Yaron Lipman

Deep Reinforcement Learning (DRL) has recently been proposed as a methodology to discover complex Active Flow Control (AFC) strategies [Rabault, J., Kuchta, M., Jensen, A., Reglade, U., & Cerardi, N. (2019): "Artificial neural networks…

Computational Physics · Physics 2019-10-23 Jean Rabault , Alexander Kuhnle

Disentangled representation learning aims to capture the underlying explanatory factors of observed data, enabling a principled understanding of the data-generating process. Recent advances in generative modeling have introduced new…

Machine Learning · Computer Science 2026-05-12 Jinjin Chi , Taoping Liu , Mengtao Yin , Ximing Li , Yongcheng Jing , Jialie Shen , Leszek Rutkowski , Dacheng Tao

The sequential nature of autoregressive next-token prediction imposes a fundamental speed limit on large language models. While continuous flow models offer a path to parallel generation, they traditionally demand expensive iterative…

Many reinforcement learning (RL) tasks have discrete action spaces, but most generative policy methods based on diffusion and flow matching are designed for continuous control. Meanwhile, generative policies usually rely heavily on offline…

Machine Learning · Computer Science 2026-05-13 Fairoz Nower Khan , Nabuat Zaman Nahim , Peizhong Ju

Current approaches for restoration of degraded images face a trade-off: high-performance models are slow for practical use, while fast models produce poor results. Knowledge distillation transfers teacher knowledge to students, but existing…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Shourya Verma , Mengbo Wang , Nadia Atallah Lanman , Ananth Grama

The use of guidance to steer sampling toward desired outcomes has been widely explored within diffusion models, especially in applications such as image and trajectory generation. However, incorporating guidance during training remains…

Machine Learning · Computer Science 2025-05-21 Marvin Alles , Nutan Chen , Patrick van der Smagt , Botond Cseke

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…

Machine Learning · Statistics 2026-04-10 Shivam Kumar , Yixin Wang , Lizhen Lin