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We provide a new algebraic technique to solve the sequential flow problem in polynomial space. The task is to maximise the flow through a graph where edge capacities can be changed over time by choosing a sequence of capacity labelings from…

Optimization and Control · Mathematics 2026-02-09 Hugo Gimbert , Corto Mascle , Patrick Totzke

Several approaches exist to model gravitational lens systems. In this study, we apply global optimization methods to find the optimal set of lens parameters using a genetic algorithm. We treat the full optimization procedure as a two-step…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Adam Rogers , Jason D. Fiege

In this paper, the global optimization problem $\min_{y\in S} F(y)$ with $S$ being a hyperinterval in $\Re^N$ and $F(y)$ satisfying the Lipschitz condition with an unknown Lipschitz constant is considered. It is supposed that the function…

Optimization and Control · Mathematics 2015-09-14 Daniela Lera , Yaroslav D. Sergeyev

Optical flow, inspired by the mechanisms of biological visual systems, calculates spatial motion vectors within visual scenes that are necessary for enabling robotics to excel in complex and dynamic working environments. However, current…

Optical flow is a fundamental technique for motion estimation, widely applied in video stabilization, interpolation, and object tracking. Traditional optical flow estimation methods rely on restrictive assumptions like brightness constancy…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Yu-Hsi Chen , Chin-Tien Wu

Scene flow is a description of real world motion in 3D that contains more information than optical flow. Because of its complexity there exists no applicable variant for real-time scene flow estimation in an automotive or commercial vehicle…

Computer Vision and Pattern Recognition · Computer Science 2018-06-22 René Schuster , Christian Bailer , Oliver Wasenmüller , Didier Stricker

Optical flow techniques are becoming increasingly performant and robust when estimating motion in a scene, but their performance has yet to be proven in the area of facial expression recognition. In this work, a variety of optical flow…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Benjamin Allaert , Isaac Ronald Ward , Ioan Marius Bilasco , Chaabane Djeraba , Mohammed Bennamoun

Classical computation of optical flow involves generic priors (regularizers) that capture rudimentary statistics of images, but not long-range correlations or semantics. On the other hand, fully supervised methods learn the regularity in…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Yanchao Yang , Stefano Soatto

We propose UniDFlow, a unified discrete flow-matching framework for multimodal understanding, generation, and editing. It decouples understanding and generation via task-specific low-rank adapters, avoiding objective interference and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-13 Onkar Susladkar , Tushar Prakash , Gayatri Deshmukh , Kiet A. Nguyen , Jiaxun Zhang , Adheesh Juvekar , Tianshu Bao , Lin Chai , Sparsh Mittal , Inderjit S Dhillon , Ismini Lourentzou

By generalizing the notion of linearization, a concept originally arising from microlocal analysis and symbolic calculus, to diffeological spaces, we make a first proposal setting for optimization problems in this category. We show how…

Optimization and Control · Mathematics 2026-04-03 Jean-Pierre Magnot

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

This paper proposes a novel technique called "successive stochastic smoothing" that optimizes nonsmooth and discontinuous functions while considering various constraints. Our methodology enables local and global optimization, making it a…

Optimization and Control · Mathematics 2023-08-17 Vladimir Norkin , Alois Pichler , Anton Kozyriev

There exists a plethora of techniques for inducing structured sparsity in parametric models during the optimization process, with the final goal of resource-efficient inference. However, few methods target a specific number of…

Machine Learning · Computer Science 2018-11-26 Raphael Tang , Ashutosh Adhikari , Jimmy Lin

In this paper we present an O(n log n) algorithm for finding a maximum flow in a directed planar graph, where the vertices are subject to capacity constraints, in addition to the arcs. If the source and the sink are on the same face, then…

Discrete Mathematics · Computer Science 2009-05-05 Haim Kaplan , Yahav Nussbaum

Optical flow estimation is crucial for various applications in vision and robotics. As the difficulty of collecting ground truth optical flow in real-world scenarios, most of the existing methods of learning optical flow still adopt…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Sheng-Chi Huang , Wei-Chen Chiu

We propose a general and versatile framework that significantly speeds-up graphical model optimization while maintaining an excellent solution accuracy. The proposed approach relies on a multi-scale pruning scheme that is able to…

Computer Vision and Pattern Recognition · Computer Science 2014-09-16 B. Conejo , N. Komodakis , S. Leprince , J. P. Avouac

Data flow analysis and optimization is considered for homogeneous rectangular mesh networks. We propose a flow matrix equation which allows a closed-form characterization of the nature of the minimal time solution, speedup and a simple…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-30 Junwei Zhang , Yang Liu , Li Shi , Thomas G. Robertazzi

This paper addresses the problems of spline interpolation on smooth Riemannian manifolds, with or without the inclusion of least-squares fitting. Our unified approach utilizes gradient flows for successively connected curves or networks,…

Optimization and Control · Mathematics 2025-10-29 Chun-Chi Lin , Dung The Tran

We construct and analyze a projection-free linearly implicit method for the approximation of flows of harmonic maps into spheres. The proposed method is unconditionally energy stable and, under a sharp discrete regularity condition,…

Numerical Analysis · Mathematics 2026-02-16 Georgios Akrivis , Sören Bartels , Michele Ruggeri , Jilu Wang

Optimal power flow (OPF) problems are non-convex and large-scale optimization problems with important applications in power networks. This paper proposes the scheduled-asynchronous algorithm to solve a distributed semidefinite programming…

Optimization and Control · Mathematics 2017-10-10 Chin-Yao Chang , Jorge Cortes , Sonia Martinez
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