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Over the several recent years, there has been a boom in development of Flow Matching (FM) methods for generative modeling. One intriguing property pursued by the community is the ability to learn flows with straight trajectories which…

Machine Learning · Statistics 2024-11-11 Nikita Kornilov , Petr Mokrov , Alexander Gasnikov , Alexander Korotin

Learning-based optical flow estimation has been dominated with the pipeline of cost volume with convolutions for flow regression, which is inherently limited to local correlations and thus is hard to address the long-standing challenge of…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Haofei Xu , Jing Zhang , Jianfei Cai , Hamid Rezatofighi , Dacheng Tao

We propose a continuous optimization method for solving dense 3D scene flow problems from stereo imagery. As in recent work, we represent the dynamic 3D scene as a collection of rigidly moving planar segments. The scene flow problem then…

Computer Vision and Pattern Recognition · Computer Science 2016-07-28 Zhaoyang Lv , Chris Beall , Pablo F. Alcantarilla , Fuxin Li , Zsolt Kira , Frank Dellaert

The DC Optimal Power Flow (DC-OPF) problem is fundamental to power system operations, requiring rapid solutions for real-time grid management. While traditional optimization solvers provide optimal solutions, their computational cost…

Machine Learning · Computer Science 2025-12-15 Kshitiz Khanal

Interpreting motion captured in image sequences is crucial for a wide range of computer vision applications. Typical estimation approaches include optical flow (OF), which approximates the apparent motion instantaneously in a scene, and…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Tanner D. Harms , Steven L. Brunton , Beverley J. McKeon

Optical flow is a classical task that is important to the vision community. Classical optical flow estimation uses two frames as input, whilst some recent methods consider multiple frames to explicitly model long-range information. The…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Qiaole Dong , Yanwei Fu

Expanding on neural operators, we propose a novel framework for stochastic process learning across arbitrary domains. In particular, we develop operator flow matching (OFM) for learning stochastic process priors on function spaces. OFM…

Machine Learning · Computer Science 2025-10-14 Yaozhong Shi , Zachary E. Ross , Domniki Asimaki , Kamyar Azizzadenesheli

Real-time motion detection in non-stationary scenes is a difficult task due to dynamic background, changing foreground appearance and limited computational resource. These challenges degrade the performance of the existing methods in…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Junjie Huang , Wei Zou , Zheng Zhu , Jiagang Zhu

Various research studies indicate that action recognition performance highly depends on the types of motions being extracted and how accurate the human actions are represented. In this paper, we investigate different optical flow, and…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Lei Wang , Piotr Koniusz

Modern optical flow methods make use of salient scene feature points detected and matched within the scene as a basis for sparse-to-dense optical flow estimation. Current feature detectors however either give sparse, non uniform point…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Felix Stephenson , Toby Breckon , Ioannis Katramados

Neural operator surrogates for time-dependent partial differential equations (PDEs) conventionally employ autoregressive prediction schemes, which accumulate error over long rollouts and require uniform temporal discretization. We introduce…

Machine Learning · Computer Science 2025-12-08 Xianglong Hou , Xinquan Huang , Paris Perdikaris

Despite the significant progress that has been made on estimating optical flow recently, most estimation methods, including classical and deep learning approaches, still have difficulty with multi-scale estimation, real-time computation,…

Computer Vision and Pattern Recognition · Computer Science 2018-05-09 Yi Zhu , Shawn Newsam

We propose a novel representation for dense pixel-wise estimation tasks using CNNs that boosts accuracy and reduces training time, by explicitly exploiting joint coarse-and-fine reasoning. The coarse reasoning is performed over a discrete…

Computer Vision and Pattern Recognition · Computer Science 2018-08-23 Victor Vaquero , German Ros , Francesc Moreno-Noguer , Antonio M. Lopez , Alberto Sanfeliu

Deep convolutional neural networks (DCNN) have recently shown promising results in low-level computer vision problems such as optical flow and disparity estimation, but still, have much room to further improve their performance. In this…

Computer Vision and Pattern Recognition · Computer Science 2018-10-12 Juan Luis Gonzalez , Muhammad Sarmad , Hyunjoo J. Lee , Munchurl Kim

Neural optical flow (NOF) offers improved accuracy and robustness over existing OF methods for particle image velocimetry (PIV). Unlike other OF techniques, which rely on discrete displacement fields, NOF parameterizes the physical velocity…

Fluid Dynamics · Physics 2026-03-31 Andrew I. Masker , Ke Zhou , Joseph P. Molnar , Samuel J. Grauer

Neural ordinary differential equations (NODE) have been recently proposed as a promising approach for nonlinear system identification tasks. In this work, we systematically compare their predictive performance with current state-of-the-art…

Machine Learning · Computer Science 2022-03-16 Aowabin Rahman , Ján Drgoňa , Aaron Tuor , Jan Strube

Optical flow estimation is a challenging problem remaining unsolved. Recent deep learning based optical flow models have achieved considerable success. However, these models often train networks from the scratch on standard optical flow…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Qiaole Dong , Chenjie Cao , Yanwei Fu

Optical flow provides information on relative motion that is an important component in many computer vision pipelines. Neural networks provide high accuracy optical flow, yet their complexity is often prohibitive for application at the edge…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Yannick Schnider , Stanislaw Wozniak , Mathias Gehrig , Jules Lecomte , Axel von Arnim , Luca Benini , Davide Scaramuzza , Angeliki Pantazi

We address the problem of joint optical flow and camera motion estimation in rigid scenes by incorporating geometric constraints into an unsupervised deep learning framework. Unlike existing approaches which rely on brightness constancy and…

Computer Vision and Pattern Recognition · Computer Science 2020-02-28 Shihao Jiang , Dylan Campbell , Miaomiao Liu , Stephen Gould , Richard Hartley

In this note, we revisit the problem of flow approximation properties of neural ordinary differential equations (NODEs). The approximation properties have been considered as a flow controllability problem in recent literature. The neural…

Optimization and Control · Mathematics 2025-03-07 Karthik Elamvazhuthi