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Related papers: New Variants of Frank-Wolfe Algorithm for Video Co…

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We introduce regularized Frank-Wolfe, a general and effective algorithm for inference and learning of dense conditional random fields (CRFs). The algorithm optimizes a nonconvex continuous relaxation of the CRF inference problem using…

Machine Learning · Computer Science 2022-09-09 Đ. Khuê Lê-Huu , Karteek Alahari

We address the problem of localisation of objects as bounding boxes in images and videos with weak labels. This weakly supervised object localisation problem has been tackled in the past using discriminative models where each object class…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Zhiyuan Shi , Timothy M. Hospedales , Tao Xiang

In this paper, we tackle the problem of video alignment, the process of matching the frames of a pair of videos containing similar actions. The main challenge in video alignment is that accurate correspondence should be established despite…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Niloufar Fakhfour , Mohammad ShahverdiKondori , Sajjad Hashembeiki , Mohammadjavad Norouzi , Hoda Mohammadzade

Cross-view geo-localization aims to estimate the GPS location of a query ground-view image by matching it to images from a reference database of geo-tagged aerial images. To address this challenging problem, recent approaches use panoramic…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Xiaohan Zhang , Waqas Sultani , Safwan Wshah

Video co-segmentation refers to the task of jointly segmenting common objects appearing in a given group of videos. In practice, high-dimensional data such as videos can be conceptually thought as being drawn from a union of subspaces…

Computer Vision and Pattern Recognition · Computer Science 2021-04-29 Junlin Yao , Frank Nielsen

We introduce a new projection-free (Frank-Wolfe) method for optimizing structured nonconvex functions that are expressed as a difference of two convex functions. This problem class subsumes smooth nonconvex minimization, positioning our…

Optimization and Control · Mathematics 2025-12-01 Hoomaan Maskan , Yikun Hou , Suvrit Sra , Alp Yurtsever

This paper presents a novel problem for discovering the similar trajectories based on the field of view (FoV) of the video data. The problem is important for many societal applications such as grouping moving objects, classifying…

Computer Vision and Pattern Recognition · Computer Science 2019-05-10 Wei Ding , KwangSoo Yang , Kwang Woo Nam

We introduce a new class of Frank-Wolfe algorithms for minimizing differentiable functionals over probability measures. This framework can be shown to encompass a diverse range of tasks in areas such as artificial intelligence,…

Computation · Statistics 2021-05-13 Carson Kent , Jose Blanchet , Peter Glynn

Recently, several works have shown that natural modifications of the classical conditional gradient method (aka Frank-Wolfe algorithm) for constrained convex optimization, provably converge with a linear rate when: i) the feasible set is a…

Optimization and Control · Mathematics 2016-05-23 Dan Garber , Ofer Meshi

We study Frank-Wolfe (FW) methods for constrained bilevel optimization when the lower-level problem is solved only approximately, yielding biased and inexact hypergradients. We analyze inexact variants of vanilla FW as well as away-step and…

Optimization and Control · Mathematics 2026-02-27 Anthony Palmieri , Francesco Rinaldi , Saverio Salzo , Sara Venturini

The Frank-Wolfe algorithm is a popular method for minimizing a smooth convex function $f$ over a compact convex set $\mathcal{C}$. While many convergence results have been derived in terms of function values, hardly nothing is known about…

Optimization and Control · Mathematics 2022-02-18 Jérôme Bolte , Cyrille W. Combettes , Édouard Pauwels

The Frank-Wolfe (FW) method, which implements efficient linear oracles that minimize linear approximations of the objective function over a fixed compact convex set, has recently received much attention in the optimization and machine…

Optimization and Control · Mathematics 2024-01-19 Liaoyuan Zeng , Yongle Zhang , Guoyin Li , Ting Kei Pong , Xiaozhou Wang

We study Frank-Wolfe methods for nonconvex stochastic and finite-sum optimization problems. Frank-Wolfe methods (in the convex case) have gained tremendous recent interest in machine learning and optimization communities due to their…

Optimization and Control · Mathematics 2016-08-01 Sashank J. Reddi , Suvrit Sra , Barnabas Poczos , Alex Smola

This paper presents a novel framework in which video/image segmentation and localization are cast into a single optimization problem that integrates information from low level appearance cues with that of high level localization cues in a…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Abhishek Sharma

We propose several variants of the Frank-Wolfe algorithm to minimize a sum of functions. The main proposed algorithm is inspired from the dual averaging scheme of Nesterov adapted for Frank Wolfe in a stochastic setting. A distributed…

Optimization and Control · Mathematics 2023-01-12 Suhail M Shah

The Grad-CAM algorithm provides a way to identify what parts of an image contribute most to the output of a classifier deep network. The algorithm is simple and widely used for localization of objects in an image, although some researchers…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Miguel Lerma , Mirtha Lucas

This paper aims to enhance the use of the Frank-Wolfe (FW) algorithm for training deep neural networks. Similar to any gradient-based optimization algorithm, FW suffers from high computational and memory costs when computing gradients for…

Machine Learning · Computer Science 2024-12-30 M. Rostami , S. S. Kia

We study the linear convergence of variants of the Frank-Wolfe algorithms for some classes of strongly convex problems, using only affine-invariant quantities. As in Guelat & Marcotte (1986), we show the linear convergence of the standard…

Optimization and Control · Mathematics 2014-01-06 Simon Lacoste-Julien , Martin Jaggi

Recently, there has been a renewed interest in the machine learning community for variants of a sparse greedy approximation procedure for concave optimization known as {the Frank-Wolfe (FW) method}. In particular, this procedure has been…

Computer Vision and Pattern Recognition · Computer Science 2015-10-27 Hector Allende , Emanuele Frandi , Ricardo Nanculef , Claudio Sartori

Recently, the Frank-Wolfe optimization algorithm was suggested as a procedure to obtain adaptive quadrature rules for integrals of functions in a reproducing kernel Hilbert space (RKHS) with a potentially faster rate of convergence than…

Machine Learning · Statistics 2015-02-11 Simon Lacoste-Julien , Fredrik Lindsten , Francis Bach
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