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This paper studies first-order algorithms for solving fully composite optimization problems over convex and compact sets. We leverage the structure of the objective by handling its differentiable and non-differentiable components…

最优化与控制 · 数学 2023-07-13 Maria-Luiza Vladarean , Nikita Doikov , Martin Jaggi , Nicolas Flammarion

The main challenge of Temporal Action Localization is to retrieve subtle human actions from various co-occurring ingredients, e.g., context and background, in an untrimmed video. While prior approaches have achieved substantial progress…

计算机视觉与模式识别 · 计算机科学 2022-06-24 Kun Xia , Le Wang , Sanping Zhou , Nanning Zheng , Wei Tang

We propose Wolf, a WOrLd summarization Framework for accurate video captioning. Wolf is an automated captioning framework that adopts a mixture-of-experts approach, leveraging complementary strengths of Vision Language Models (VLMs). By…

Conventional learning methods simplify the bilinear model by regarding two intrinsically coupled factors independently, which degrades the optimization procedure. One reason lies in the insufficient training due to the asynchronous gradient…

计算机视觉与模式识别 · 计算机科学 2020-06-17 Li'an Zhuo , Baochang Zhang , Linlin Yang , Hanlin Chen , Qixiang Ye , David Doermann , Guodong Guo , Rongrong Ji

This paper proposes a new variant of Frank-Wolfe (FW), called $k$FW. Standard FW suffers from slow convergence: iterates often zig-zag as update directions oscillate around extreme points of the constraint set. The new variant, $k$FW,…

最优化与控制 · 数学 2021-11-17 Lijun Ding , Jicong Fan , Madeleine Udell

We present and analyze a new generalized Frank-Wolfe method for the composite optimization problem $(P):{\min}_{x\in\mathbb{R}^n}\; f(\mathsf{A} x) + h(x)$, where $f$ is a $\theta$-logarithmically-homogeneous self-concordant barrier,…

最优化与控制 · 数学 2021-12-07 Renbo Zhao , Robert M. Freund

Recently the away-step Frank-Wolfe algoritm for constrained multiobjective optimization has been shown linear convergence rate over a polytope which is generated by finite points set. In this paper we design a decomposition-invariant…

最优化与控制 · 数学 2024-09-10 Zhuoxin Fan , Liping Tang

This study proposes an airborne multisensor management algorithm for target tracking, taking each of multiple unmanned aircraft as a sensor. The purpose of the algorithm is to determine the configuration of the sensor deployment and to…

多智能体系统 · 计算机科学 2018-07-24 Youngjoo Kim , Hyochoong Bang

Visual place recognition is a critical task in computer vision, especially for localization and navigation systems. Existing methods often rely on contrastive learning: image descriptors are trained to have small distance for similar images…

计算机视觉与模式识别 · 计算机科学 2024-01-30 María Leyva-Vallina , Nicola Strisciuglio , Nicolai Petkov

Structured constraints in Machine Learning have recently brought the Frank-Wolfe (FW) family of algorithms back in the spotlight. While the classical FW algorithm has poor local convergence properties, the Away-steps and Pairwise FW…

最优化与控制 · 数学 2022-09-09 Fabian Pedregosa , Geoffrey Negiar , Armin Askari , Martin Jaggi

In this work we propose a method that geolocates videos within a delimited widespread area based solely on the frames visual content. Our proposed method tackles video-geolocation through traditional image retrieval techniques considering…

计算机视觉与模式识别 · 计算机科学 2018-10-24 Salvador Medina , Zhuyun Dai , Yingkai Gao

Generalized self-concordance is a key property present in the objective function of many important learning problems. We establish the convergence rate of a simple Frank-Wolfe variant that uses the open-loop step size strategy $\gamma_t =…

最优化与控制 · 数学 2024-04-09 Alejandro Carderera , Mathieu Besançon , Sebastian Pokutta

We consider the problem of minimizing the sum of two convex functions. One of those functions has Lipschitz-continuous gradients, and can be accessed via stochastic oracles, whereas the other is "simple". We provide a Bregman-type algorithm…

最优化与控制 · 数学 2024-11-26 Benjamin Dubois-Taine , Francis Bach , Quentin Berthet , Adrien Taylor

The boosted Frank-Wolfe algorithm accelerates the classical Frank-Wolfe algorithm by better aligning the update direction with the negative gradient. Its analysis, however, has been limited to deterministic convex problems, with step sizes…

最优化与控制 · 数学 2026-05-26 Navil Nandhan , Abbas Khademi , Antonio Silveti-Falls

Optimal transport (OT), which provides a distance between two probability distributions by considering their spatial locations, has been applied to widely diverse applications. Computing an OT problem requires solution of linear programming…

机器学习 · 计算机科学 2021-03-11 Takumi Fukunaga , Hiroyuki Kasai

We propose a novel and efficient training method for RNNs by iteratively seeking a local minima on the loss surface within a small region, and leverage this directional vector for the update, in an outer-loop. We propose to utilize the…

机器学习 · 计算机科学 2020-10-16 Yun Yue , Ming Li , Venkatesh Saligrama , Ziming Zhang

Differentiable optimization has received a significant amount of attention due to its foundational role in the domain of machine learning based on neural networks. This paper proposes a differentiable layer, named Differentiable Frank-Wolfe…

机器学习 · 计算机科学 2024-04-01 Zixuan Liu , Liu Liu , Xueqian Wang , Peilin Zhao

Visual tracking (VT) is the process of locating a moving object of interest in a video. It is a fundamental problem in computer vision, with various applications in human-computer interaction, security and surveillance, robot perception,…

量子物理 · 物理学 2019-02-06 Chao-Hua Yu , Fei Gao , Chenghuan Liu , Du Huynh , Mark Reynolds , Jingbo Wang

We address a large-scale and nonconvex optimization problem, involving an aggregative term. This term can be interpreted as the sum of the contributions of N agents to some common good, with N large. We investigate a relaxation of this…

最优化与控制 · 数学 2023-06-19 J. Frédéric Bonnans , Kang Liu , Nadia Oudjane , Laurent Pfeiffer , Cheng Wan

The Simultaneous Localization and Mapping (SLAM) problem addresses the possibility of a robot to localize itself in an unknown environment and simultaneously build a consistent map of this environment. Recently, cameras have been…

计算机视觉与模式识别 · 计算机科学 2021-06-02 Hudson M. S. Bruno , Esther L. Colombini