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相关论文: A Distributed Frank-Wolfe Framework for Learning L…

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We propose Frank--Wolfe (FW) algorithms with an adaptive Bregman step-size strategy for smooth adaptable (also called: relatively smooth) (weakly-) convex functions. This means that the gradient of the objective function is not necessarily…

最优化与控制 · 数学 2026-02-19 Shota Takahashi , Sebastian Pokutta , Akiko Takeda

This paper studies a distributed policy gradient in collaborative multi-agent reinforcement learning (MARL), where agents over a communication network aim to find the optimal policy to maximize the average of all agents' local returns. Due…

多智能体系统 · 计算机科学 2022-12-06 Xiaoxiao Zhao , Jinlong Lei , Li Li , Jie Chen

In this paper, we establish a distributed functional optimization (DFO) theory over time-varying networks. The vast majority of existing distributed optimization theories are developed based on Euclidean decision variables. However, for…

最优化与控制 · 数学 2026-01-01 Zhan Yu , Zhongjie Shi , Deming Yuan , Daniel W. C. Ho

Distributed multi-task learning (DMTL) effectively improves model generalization performance through the collaborative training of multiple related models. However, in large-scale learning scenarios, communication bottlenecks severely limit…

信息论 · 计算机科学 2025-07-25 Minquan Cheng , Yongkang Wang , Lingyu Zhang , Youlong Wu

We propose an enhanced zeroth-order stochastic Frank-Wolfe framework to address constrained finite-sum optimization problems, a structure prevalent in large-scale machine-learning applications. Our method introduces a novel double variance…

机器学习 · 计算机科学 2025-01-24 Haishan Ye , Yinghui Huang , Hao Di , Xiangyu Chang

The trace norm is widely used in multi-task learning as it can discover low-rank structures among tasks in terms of model parameters. Nowadays, with the emerging of big datasets and the popularity of deep learning techniques, tensor trace…

机器学习 · 计算机科学 2020-02-13 Yi Zhang , Yu Zhang , Wei Wang

This paper proposes a distributed stochastic projection-free algorithm for large-scale constrained finite-sum optimization whose constraint set is complicated such that the projection onto the constraint set can be expensive. The global…

最优化与控制 · 数学 2022-04-25 Xia Jiang , Xianlin Zeng , Lihua Xie , Jian Sun , Jie Chen

Motivated principally by the low-rank matrix completion problem, we present an extension of the Frank-Wolfe method that is designed to induce near-optimal solutions on low-dimensional faces of the feasible region. This is accomplished by a…

最优化与控制 · 数学 2015-11-09 Robert M. Freund , Paul Grigas , Rahul Mazumder

The wireless network is undergoing a trend from "onnection of things" to "connection of intelligence". With data spread over the communication networks and computing capability enhanced on the devices, distributed learning becomes a hot…

信息论 · 计算机科学 2021-08-03 Jian Wang , Yourui Huangfu , Rong Li , Yiqun Ge , Jun Wang

This paper studies the problem of sampling vector and tensor signals, which is the process of choosing sites in vectors and tensors to place sensors for better recovery. A small core tensor and multiple factor matrices can be used to…

最优化与控制 · 数学 2024-07-03 Hao Li , Dong Liang , Zixi Zhou , Zheng Xie

Deep Reinforcement Learning (DRL) is emerging as a promising approach to generate adaptive behaviors for robotic platforms. However, a major drawback of using DRL is the data-hungry training regime that requires millions of trial and error…

In this paper, we propose a distributed framework for reducing the dimensionality of high-dimensional, large-scale, heterogeneous matrix-variate time series data using a factor model. The data are first partitioned column-wise (or row-wise)…

机器学习 · 统计学 2026-01-19 Hangjin Jiang , Yuzhou Li , Zhaoxing Gao

The design of decentralized learning algorithms is important in the fast-growing world in which data are distributed over participants with limited local computation resources and communication. In this direction, we propose an online…

机器学习 · 计算机科学 2022-08-02 Angan Mitra , Nguyen Kim Thang , Tuan-Anh Nguyen , Denis Trystram , Paul Youssef

In the present paper, we formulate two versions of Frank--Wolfe algorithm or conditional gradient method to solve the DC optimization problem with an adaptive step size. The DC objective function consists of two components; the first is…

最优化与控制 · 数学 2026-02-02 R. Díaz Millán , O. P. Ferreira , J. Ugon

We extend the Frank-Wolfe (FW) optimization algorithm to solve constrained smooth convex-concave saddle point (SP) problems. Remarkably, the method only requires access to linear minimization oracles. Leveraging recent advances in FW…

最优化与控制 · 数学 2017-03-07 Gauthier Gidel , Tony Jebara , Simon Lacoste-Julien

Multi-category support vector machine (MC-SVM) is one of the most popular machine learning algorithms. There are lots of variants of MC-SVM, although different optimization algorithms were developed for different learning machines. In this…

机器学习 · 计算机科学 2021-11-10 Kenya Tajima , Yoshihiro Hirohashi , Esmeraldo Ronnie Rey Zara , Tsuyoshi Kato

We propose a randomized block-coordinate variant of the classic Frank-Wolfe algorithm for convex optimization with block-separable constraints. Despite its lower iteration cost, we show that it achieves a similar convergence rate in duality…

机器学习 · 计算机科学 2013-01-15 Simon Lacoste-Julien , Martin Jaggi , Mark Schmidt , Patrick Pletscher

We investigate variants of the Frank-Wolfe (FW) algorithm for smoothing and strongly convex optimization over polyhedral sets, with the goal of designing algorithms that achieve linear convergence while minimizing per-iteration complexity…

最优化与控制 · 数学 2025-09-30 Haoning Wang , Houduo Qi , Liping Zhang

The Frank-Wolfe algorithm has become a popular first-order optimization algorithm for it is simple and projection-free, and it has been successfully applied to a variety of real-world problems. Its main drawback however lies in its…

最优化与控制 · 数学 2020-06-25 Cyrille W. Combettes , Sebastian Pokutta

With the advent of extremely high dimensional datasets, dimensionality reduction techniques are becoming mandatory. Among many techniques, feature selection has been growing in interest as an important tool to identify relevant features on…