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We introduce a novel unit-time ordinary differential equation (ODE) flow called the preconditioned F\"{o}llmer flow, which efficiently transforms a Gaussian measure into a desired target measure at time 1. To discretize the flow, we apply…

Methodology · Statistics 2023-11-08 Zhao Ding , Yuling Jiao , Xiliang Lu , Zhijian Yang , Cheng Yuan

Forecasting time series and time-dependent data is a common problem in many applications. One typical example is solving ordinary differential equation (ODE) systems $\dot{x}=F(x)$. Oftentimes the right hand side function $F(x)$ is not…

Computational Physics · Physics 2019-10-14 Artem Chashchin , Mikhail Botchev , Ivan Oseledets , George Ovchinnikov

We propose a novel generative video model to robustly learn temporal change as a neural Ordinary Differential Equation (ODE) flow with a bilinear objective which combines two aspects: The first is to map from the past into future video…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Chen Liu , Tobias Ritschel

Optical flow estimation is a crucial subfield of computer vision, serving as a foundation for video tasks. However, the real-world robustness is limited by animated synthetic datasets for training. This introduces domain gaps when applied…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Yingping Liang , Ying Fu , Yutao Hu , Wenqi Shao , Jiaming Liu , Debing Zhang

We tackle the problem of estimating optical flow from a monocular camera in the context of autonomous driving. We build on the observation that the scene is typically composed of a static background, as well as a relatively small number of…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Min Bai , Wenjie Luo , Kaustav Kundu , Raquel Urtasun

Since the advent of the ``Neural Ordinary Differential Equation (Neural ODE)'' paper, learning ODEs with deep learning has been applied to system identification, time-series forecasting, and related areas. Exploiting the diffeomorphic…

Machine Learning · Statistics 2025-08-27 Yuji Okamoto , Tomoya Takeuchi , Yusuke Sakemi

This paper proposes an end-to-end trainable network, SegFlow, for simultaneously predicting pixel-wise object segmentation and optical flow in videos. The proposed SegFlow has two branches where useful information of object segmentation and…

Computer Vision and Pattern Recognition · Computer Science 2017-09-21 Jingchun Cheng , Yi-Hsuan Tsai , Shengjin Wang , Ming-Hsuan Yang

Normalizing flows are a powerful technique for obtaining reparameterizable samples from complex multimodal distributions. Unfortunately, current approaches are only available for the most basic geometries and fall short when the underlying…

Machine Learning · Statistics 2021-05-03 Luca Falorsi

Diffusion and flow matching models generate samples by learning time-dependent vector fields whose integration transports noise to data, requiring tens to hundreds of network evaluations at inference. We instead learn the transport map…

Machine Learning · Computer Science 2026-04-09 Xiao Shou

Temporal coherence is a valuable source of information in the context of optical flow estimation. However, finding a suitable motion model to leverage this information is a non-trivial task. In this paper we propose an unsupervised online…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Daniel Maurer , Andrés Bruhn

Most of the top performing action recognition methods use optical flow as a "black box" input. Here we take a deeper look at the combination of flow and action recognition, and investigate why optical flow is helpful, what makes a flow…

Computer Vision and Pattern Recognition · Computer Science 2017-12-25 Laura Sevilla-Lara , Yiyi Liao , Fatma Guney , Varun Jampani , Andreas Geiger , Michael J. Black

We show that the matching problem that underlies optical flow requires multiple strategies, depending on the amount of image motion and other factors. We then study the implications of this observation on training a deep neural network for…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Tal Schuster , Lior Wolf , David Gadot

Unsupervised deep learning for optical flow computation has achieved promising results. Most existing deep-net based methods rely on image brightness consistency and local smoothness constraint to train the networks. Their performance…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Yiran Zhong , Pan Ji , Jianyuan Wang , Yuchao Dai , Hongdong Li

Surgical instrument segmentation in laparoscopy is essential for computer-assisted surgical systems. Despite the Deep Learning progress in recent years, the dynamic setting of laparoscopic surgery still presents challenges for precise…

Convolutional neural networks (CNNs) have been widely used over many areas in compute vision. Especially in classification. Recently, FlowNet and several works on opti- cal estimation using CNNs shows the potential ability of CNNs in doing…

Computer Vision and Pattern Recognition · Computer Science 2017-10-05 Junxuan Li

We present DDFlow, a data distillation approach to learning optical flow estimation from unlabeled data. The approach distills reliable predictions from a teacher network, and uses these predictions as annotations to guide a student network…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Pengpeng Liu , Irwin King , Michael R. Lyu , Jia Xu

Diffusion bridge models have demonstrated promising performance in conditional image generation tasks, such as image restoration and translation, by initializing the generative process from corrupted images instead of pure Gaussian noise.…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Yuang Wang , Pengfei Jin , Li Zhang , Quanzheng Li , Zhiqiang Chen , Dufan Wu

Optimal Power Flow (OPF) is a fundamental problem in power systems. It is computationally challenging and a recent line of research has proposed the use of Deep Neural Networks (DNNs) to find OPF approximations at vastly reduced runtimes…

Machine Learning · Computer Science 2021-11-23 My H. Dinh , Ferdinando Fioretto , Mostafa Mohammadian , Kyri Baker

Neural ordinary differential equations (NODEs) -- parametrizations of differential equations using neural networks -- have shown tremendous promise in learning models of unknown continuous-time dynamical systems from data. However, every…

Machine Learning · Computer Science 2023-01-02 Franck Djeumou , Cyrus Neary , Eric Goubault , Sylvie Putot , Ufuk Topcu

The growing scale of power systems and the increasing uncertainty introduced by renewable energy sources necessitates novel optimization techniques that are significantly faster and more accurate than existing methods. The AC Optimal Power…

Optimization and Control · Mathematics 2025-12-02 Andrew Rosemberg , Michael Klamkin , Pascal Van Hentenryck
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