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This work presents mixed variational flows (MixFlows), a new variational family that consists of a mixture of repeated applications of a map to an initial reference distribution. First, we provide efficient algorithms for i.i.d. sampling,…

Machine Learning · Statistics 2025-06-03 Zuheng Xu , Naitong Chen , Trevor Campbell

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

Recent work shows that path gradient estimators for normalizing flows have lower variance compared to standard estimators for variational inference, resulting in improved training. However, they are often prohibitively more expensive from a…

Machine Learning · Computer Science 2024-03-26 Lorenz Vaitl , Ludwig Winkler , Lorenz Richter , Pan Kessel

Accurate polyp segmentation remains challenging due to irregular lesion morphologies, ambiguous boundaries, and heterogeneous imaging conditions. While U-Net variants excel at local feature fusion, they often lack explicit mechanisms to…

Image and Video Processing · Electrical Eng. & Systems 2025-02-27 Pu Wang , Huaizhi Ma , Zhihua Zhang , Zhuoran Zheng

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

The paper deals with first order self-adjoint elliptic differential operators on a smooth compact oriented surface with non-empty boundary. We consider such operators with self-adjoint local boundary conditions. The paper is focused on…

Analysis of PDEs · Mathematics 2023-02-01 Marina Prokhorova

In this paper, we generalize the minimum flow decomposition problem (MFD) to incorporate uncertain edge capacities and tackle it from the perspective of robust optimization. In the classical flow decomposition problem, a network flow is…

Optimization and Control · Mathematics 2025-10-17 Moritz Stinzendörfer , Philine Schiewe , Fabricio Oliveira

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

We formulate an Alternating Direction Method of Mul-tipliers (ADMM) that systematically distributes the computations of any technique for optimizing pairwise functions, including non-submodular potentials. Such discrete functions are very…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Jose Dolz , Ismail Ben Ayed , Christian Desrosiers

In this article we consider a certain sub class of Integer Equal Flow problem, which are known NP hard [8]. Currently there exist no direct solutions for the same. It is a common problem in various inventory management systems. Here we…

Artificial Intelligence · Computer Science 2019-12-11 Sasikanth Goteti , Swapnil Kumar

Initializing optical flow field by either sparse descriptor matching or dense patch matches has been proved to be particularly useful for capturing large displacements. In this paper, we present a pyramidal gradient matching approach that…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Yuanwei Li

Accurate object rearrangement from vision is a crucial problem for a wide variety of real-world robotics applications in unstructured environments. We propose IFOR, Iterative Flow Minimization for Robotic Object Rearrangement, an end-to-end…

Robotics · Computer Science 2022-02-03 Ankit Goyal , Arsalan Mousavian , Chris Paxton , Yu-Wei Chao , Brian Okorn , Jia Deng , Dieter Fox

The Bayesian update can be viewed as a variational problem by characterizing the posterior as the minimizer of a functional. The variational viewpoint is far from new and is at the heart of popular methods for posterior approximation.…

Statistics Theory · Mathematics 2018-11-05 Nicolas Garcia Trillos , Daniel Sanz-Alonso

We introduce a class of unconditionally energy stable, high order accurate schemes for gradient flows in a very general setting. The new schemes are a high order analogue of the minimizing movements approach for generating a time discrete…

Numerical Analysis · Mathematics 2020-02-11 Alexander Zaitzeff , Selim Esedoglu , Krishna Garikipati

Two optical flow estimation problems are addressed: i) occlusion estimation and handling, and ii) estimation from image sequences longer than two frames. The proposed ContinualFlow method estimates occlusions before flow, avoiding the use…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Michal Neoral , Jan Šochman , Jiří Matas

We propose and analyze an algorithm for the solution of the $L^2$-subgradient flow of the total variation functional. The algorithm involves no regularization, thus the numerical solution preserves the main features that motivate…

Numerical Analysis · Mathematics 2012-12-06 Ricardo H. Nochetto , Soeren Bartels , Abner J. Salgado

T. Borrvall and J. Petersson [Topology optimization of fluids in Stokes flow, International Journal for Numerical Methods in Fluids 41 (1) (2003) 77--107] developed the first model for topology optimization of fluids in Stokes flow. They…

Numerical Analysis · Mathematics 2022-04-14 Ioannis P. A. Papadopoulos , Endre Süli

We present directional operator splitting schemes for the numerical solution of a fourth-order, nonlinear partial differential evolution equation which arises in image processing. This equation constitutes the $H^{-1}$-gradient flow of the…

Numerical Analysis · Mathematics 2015-09-04 Luca Calatroni , Bertram Düring , Carola-Bibiane Schönlieb

Recent work in image processing suggests that operating on (overlapping) patches in an image may lead to state-of-the-art results. This has been demonstrated for a variety of problems including denoising, inpainting, deblurring, and…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Gregory Vaksman , Michael Zibulevsky , Michael Elad

Estimating the correspondences between pixels in sequences of images is a critical first step for a myriad of tasks including vision-aided navigation (e.g., visual odometry (VO), visual-inertial odometry (VIO), and visual simultaneous…

Image and Video Processing · Electrical Eng. & Systems 2018-03-16 E. Jared Shamwell , William D. Nothwang , Donald Perlis