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We introduce in this paper a novel strategy for efficiently approximating the Sinkhorn distance between two discrete measures. After identifying neglectable components of the dual solution of the regularized Sinkhorn problem, we propose to…

Machine Learning · Statistics 2020-01-22 Mokhtar Z. Alaya , Maxime Bérar , Gilles Gasso , Alain Rakotomamonjy

Visual perception plays an important role in autonomous driving. One of the primary tasks is object detection and identification. Since the vision sensor is rich in color and texture information, it can quickly and accurately identify…

Computer Vision and Pattern Recognition · Computer Science 2022-12-23 Fei Liu , Zihao Lu , Xianke Lin

This paper presents a widely applicable approach to solving (multi-marginal, martingale) optimal transport and related problems via neural networks. The core idea is to penalize the optimization problem in its dual formulation and reduce it…

Optimization and Control · Mathematics 2019-01-28 Stephan Eckstein , Michael Kupper

This paper proposes the theoretical grounds for emulating the Dynamic System Optimum with desired arrival times on regional networks, using aggregated traffic dynamics based on the Macroscopic Fundamental Diagram. We used a projection…

Optimization and Control · Mathematics 2025-08-27 Mostafa Ameli , Sergio F. A. Batista , Jean-Patrick Lebacque , Monica Menendez

Dynamic stereo matching is the task of estimating consistent disparities from stereo videos with dynamic objects. Recent learning-based methods prioritize optimal performance on a single stereo pair, resulting in temporal inconsistencies.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Junpeng Jing , Ye Mao , Krystian Mikolajczyk

Stereo cameras are a popular choice for obstacle avoidance for outdoor lighweight, low-cost robotics applications. However, they are unable to sense thin and reflective objects well. Currently, many algorithms are tuned to perform well on…

Computer Vision and Pattern Recognition · Computer Science 2019-10-14 John Keller , Sebastian Scherer

Despite the great success of GANs in images translation with different conditioned inputs such as semantic segmentation and edge maps, generating high-fidelity realistic images with reference styles remains a grand challenge in conditional…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Fangneng Zhan , Yingchen Yu , Kaiwen Cui , Gongjie Zhang , Shijian Lu , Jianxiong Pan , Changgong Zhang , Feiying Ma , Xuansong Xie , Chunyan Miao

The roto-translation group SE2 has been of active interest in image analysis due to methods that lift the image data to multi-orientation representations defined on this Lie group. This has led to impactful applications of…

Computer Vision and Pattern Recognition · Computer Science 2024-11-14 Daan Bon , Gautam Pai , Gijs Bellaard , Olga Mula , Remco Duits

Estimating depth from RGB images is a long-standing ill-posed problem, which has been explored for decades by the computer vision, graphics, and machine learning communities. Among the existing techniques, stereo matching remains one of the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Hamid Laga , Laurent Valentin Jospin , Farid Boussaid , Mohammed Bennamoun

This paper proposes an original problem of \emph{stereo computation from a single mixture image}-- a challenging problem that had not been researched before. The goal is to separate (\ie, unmix) a single mixture image into two constitute…

Computer Vision and Pattern Recognition · Computer Science 2018-08-28 Yiran Zhong , Yuchao Dai , Hongdong Li

Optimal Transport has recently gained interest in machine learning for applications ranging from domain adaptation, sentence similarities to deep learning. Yet, its ability to capture frequently occurring structure beyond the "ground…

Machine Learning · Statistics 2017-12-19 David Alvarez-Melis , Tommi S. Jaakkola , Stefanie Jegelka

Whilst optimal transport (OT) is increasingly being recognized as a powerful and flexible approach for dealing with fairness issues, current OT fairness methods are confined to the use of discrete OT. In this paper, we leverage recent…

Machine Learning · Computer Science 2021-01-07 Silvia Chiappa , Aldo Pacchiano

We present a method to extract temporal hypergraphs from sequences of 2-dimensional functions obtained as solutions to Optimal Transport problems. We investigate optimality principles exhibited by these solutions from the point of view of…

Discrete Mathematics · Computer Science 2023-01-10 Diego Baptista , Caterina De Bacco

We present an overview of the methodology used to build a new stereo vision solution that is suitable for System on Chip. This new solution was developed to bring computer vision capability to embedded devices that live in a power…

Computer Vision and Pattern Recognition · Computer Science 2020-01-15 Luca Puglia , Cormac Brick

In this work, we introduce an optimal transport framework for inferring power distributions over both spatial location and temporal frequency. Recently, it has been shown that optimal transport is a powerful tool for estimating spatial…

Optimization and Control · Mathematics 2024-03-01 Isabel Haasler , Filip Elvander

In this work, we propose a novel machine learning approach to compute the optimal transport map between two continuous distributions from their unpaired samples, based on the DeepParticle methods. The proposed method leads to a min-min…

Machine Learning · Statistics 2025-07-01 Yingyuan Li , Aokun Wang , Zhongjian Wang

We study MinMax solution methods for a general class of optimization problems related to (and including) optimal transport. Theoretically, the focus is on fitting a large class of problems into a single MinMax framework and generalizing…

Optimization and Control · Mathematics 2020-10-23 Luca De Gennaro Aquino , Stephan Eckstein

This paper introduces a statistical method to decide whether two blocks in a pair of of images match reliably. The method ensures that the selected block matches are unlikely to have occurred "just by chance." The new approach is based on…

Computer Vision and Pattern Recognition · Computer Science 2017-12-08 Neus Sabater , Andrés Almansa , Jean-Michel Morel

Estimating optical flows is one of the most interesting problems in computer vision, which estimates the essential information about pixel-wise displacements between two consecutive images. This work introduces an efficient dual…

Optimization and Control · Mathematics 2021-10-05 Hongpeng Sun , Xue-Cheng Tai , Jing Yuan

Computationally efficient moving object detection and depth estimation from a stereo camera is an extremely useful tool for many computer vision applications, including robotics and autonomous driving. In this paper we show how moving…

Robotics · Computer Science 2018-09-24 Goran Popović , Antea Hadviger , Ivan Marković , Ivan Petrović
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