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Many recent state-of-the-art (SOTA) optical flow models use finite-step recurrent update operations to emulate traditional algorithms by encouraging iterative refinements toward a stable flow estimation. However, these RNNs impose large…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Shaojie Bai , Zhengyang Geng , Yash Savani , J. Zico Kolter

Though there exists a reasonable forward model for blur based on optical physics, recovering depth from a collection of defocused images remains a computationally challenging optimization problem. In this paper, we show that with…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Holly Jackson , Caleb Adams , Ignacio Lopez-Francos , Benjamin Recht

We propose a universal end-to-end framework for portfolio optimization where asset distributions are directly obtained. The designed framework circumvents the traditional forecasting step and avoids the estimation of the covariance matrix,…

Portfolio Management · Quantitative Finance 2021-11-18 Chao Zhang , Zihao Zhang , Mihai Cucuringu , Stefan Zohren

Optical flow estimation with convolutional neural networks (CNNs) has recently solved various tasks of computer vision successfully. In this paper we adapt a state-of-the-art approach for optical flow estimation to omnidirectional images.…

Computer Vision and Pattern Recognition · Computer Science 2018-12-07 André Apitzsch , Roman Seidel , Gangolf Hirtz

This paper proposes a novel dynamical system called the Multiobjective Balanced Gradient Flow (MBGF), offering a dynamical perspective for normalized gradient methods in a class of multi-objective optimization problems. Under certain…

Optimization and Control · Mathematics 2025-08-26 Yingdong Yin

Flow matching has emerged as a simulation-free alternative to diffusion-based generative modeling, producing samples by solving an ODE whose time-dependent velocity field is learned along an interpolation between a simple source…

Machine Learning · Statistics 2026-04-10 Shivam Kumar , Yixin Wang , Lizhen Lin

Current benchmarks for optical flow algorithms evaluate the estimation quality by comparing their predicted flow field with the ground truth, and additionally may compare interpolated frames, based on these predictions, with the correct…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Hui Men , Hanhe Lin , Vlad Hosu , Daniel Maurer , Andres Bruhn , Dietmar Saupe

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

Universal methods for optimization are designed to achieve theoretically optimal convergence rates without any prior knowledge of the problem's regularity parameters or the accurarcy of the gradient oracle employed by the optimizer. In this…

Optimization and Control · Mathematics 2022-06-22 Kimon Antonakopoulos , Dong Quan Vu , Vokan Cevher , Kfir Y. Levy , Panayotis Mertikopoulos

We identify and analyze a fundamental limitation of the classical projected subgradient method in nonsmooth convex optimization: the inevitable failure caused by the absence of valid subgradients at boundary points. We show that, under…

Optimization and Control · Mathematics 2026-02-17 Zhihan Zhu , Yanhao Zhang , Yong Xia

Optical Flow (OF) is the movement pattern of pixels or edges that is caused in a visual scene by the relative motion between an agent and a scene. OF is used in a wide range of computer vision algorithms and robotics applications. While the…

Image and Video Processing · Electrical Eng. & Systems 2023-09-25 Jonas Kühne , Michele Magno , Luca Benini

The acceleration of gradient-based optimization methods is a subject of significant practical and theoretical importance, particularly within machine learning applications. While much attention has been directed towards optimizing within…

Optimization and Control · Mathematics 2024-11-12 Shi Chen , Qin Li , Oliver Tse , Stephen J. Wright

Visualization techniques for the decision space of continuous multi-objective optimization problems (MOPs) are rather scarce in research. For long, all techniques focused on global optimality and even for the few available landscape…

Neural and Evolutionary Computing · Computer Science 2020-12-01 Lennart Schäpermeier , Christian Grimme , Pascal Kerschke

To solve convex optimization problems with a noisy gradient input, we analyze the global behavior of subgradient-like flows under stochastic errors. The objective function is composite, being equal to the sum of two convex functions, one…

Optimization and Control · Mathematics 2025-06-05 Rodrigo Maulen-Soto , Jalal Fadili , Hedy Attouch

An interior-point algorithm framework is proposed, analyzed, and tested for solving nonlinearly constrained continuous optimization problems. The main setting of interest is when the objective and constraint functions may be nonlinear…

Optimization and Control · Mathematics 2024-08-30 Frank E. Curtis , Xin Jiang , Qi Wang

In this paper, we apply the random walk model in designing a raindrop algorithm to find the global optimal solution of a non-linear programming problem. The raindrop algorithm does not require the information of the first or second order…

Data Structures and Algorithms · Computer Science 2013-06-11 Zhiqing Wei

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

Optimization and Control · Mathematics 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

Global optimization algorithms have shown impressive performance in data-association based multi-object tracking, but handling online data remains a difficult hurdle to overcome. In this paper, we present a hybrid data association framework…

Computer Vision and Pattern Recognition · Computer Science 2017-10-11 Min Yang , Yuwei Wu , Yunde Jia

State-of-the-art neural network models for optical flow estimation require a dense correlation volume at high resolutions for representing per-pixel displacement. Although the dense correlation volume is informative for accurate estimation,…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Shihao Jiang , Yao Lu , Hongdong Li , Richard Hartley

Key-point-based scene understanding is fundamental for autonomous driving applications. At the same time, optical flow plays an important role in many vision tasks. However, due to the implicit bias of equal attention on all points, classic…

Computer Vision and Pattern Recognition · Computer Science 2023-09-25 Zhonghua Yi , Hao Shi , Kailun Yang , Qi Jiang , Yaozu Ye , Ze Wang , Huajian Ni , Kaiwei Wang