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When solving consensus optimization problems over a graph, there is often an explicit characterization of the convergence rate of Gradient Descent (GD) using the spectrum of the graph Laplacian. The same type of problems under the…

机器学习 · 统计学 2017-10-04 Guilherme França , José Bento

We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

最优化与控制 · 数学 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

Douglas-Rachford splitting and the alternating direction method of multipliers (ADMM) can be used to solve convex optimization problems that consist of a sum of two functions. Convergence rate estimates for these algorithms have received…

最优化与控制 · 数学 2015-03-04 Pontus Giselsson

We consider a resource allocation problem over an undirected network of agents, where edges of the network define communication links. The goal is to minimize the sum of agent-specific convex objective functions, while the agents' decisions…

最优化与控制 · 数学 2019-11-27 Goran Banjac , Felix Rey , Paul Goulart , John Lygeros

The alternating direction method of multipliers (ADMM) has been recognized as a versatile approach for solving modern large-scale machine learning and signal processing problems efficiently. When the data size and/or the problem dimension…

分布式、并行与集群计算 · 计算机科学 2016-05-04 Tsung-Hui Chang , Wei-Cheng Liao , Mingyi Hong , Xiangfeng Wang

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

系统与控制 · 计算机科学 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

Decentralized optimization with time-varying networks is an emerging paradigm in machine learning. It saves remarkable communication overhead in large-scale deep training and is more robust in wireless scenarios especially when nodes are…

机器学习 · 计算机科学 2022-11-02 Xinmeng Huang , Kun Yuan

We propose a distributed algorithm based on Alternating Direction Method of Multipliers (ADMM) to minimize the sum of locally known convex functions using communication over a network. This optimization problem emerges in many applications…

最优化与控制 · 数学 2016-01-05 Ali Makhdoumi , Asuman Ozdaglar

Decentralized learning provides an effective framework to train machine learning models with data distributed over arbitrary communication graphs. However, most existing approaches toward decentralized learning disregard the interaction…

机器学习 · 计算机科学 2022-04-14 Yatin Dandi , Anastasia Koloskova , Martin Jaggi , Sebastian U. Stich

ADMM is a popular algorithm for solving convex optimization problems. Applying this algorithm to distributed consensus optimization problem results in a fully distributed iterative solution which relies on processing at the nodes and…

分布式、并行与集群计算 · 计算机科学 2017-01-17 Layla Majzoobi , Farshad Lahouti

Decentralized optimization is effective to save communication in large-scale machine learning. Although numerous algorithms have been proposed with theoretical guarantees and empirical successes, the performance limits in decentralized…

机器学习 · 计算机科学 2022-10-17 Kun Yuan , Xinmeng Huang , Yiming Chen , Xiaohan Zhang , Yingya Zhang , Pan Pan

As a well-known optimization framework, the Alternating Direction Method of Multipliers (ADMM) has achieved tremendous success in many classification and regression applications. Recently, it has attracted the attention of deep learning…

机器学习 · 计算机科学 2021-12-23 Junxiang Wang , Hongyi Li , Liang Zhao

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

计算机视觉与模式识别 · 计算机科学 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan

In this paper, we consider a wireless powered mobile edge computing (MEC) network, where the distributed energy-harvesting wireless devices (WDs) are powered by means of radio frequency (RF) wireless power transfer (WPT). In particular, the…

信息论 · 计算机科学 2018-02-13 Suzhi Bi , Ying-Jun Angela Zhang

Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

最优化与控制 · 数学 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

Decentralized optimization methods have been in the focus of optimization community due to their scalability, increasing popularity of parallel algorithms and many applications. In this work, we study saddle point problems of sum type,…

最优化与控制 · 数学 2021-10-26 Aleksandr Beznosikov , Alexander Rogozin , Dmitry Kovalev , Alexander Gasnikov

This paper considers the distributed optimization of a sum of locally observable, non-convex functions. The optimization is performed over a multi-agent networked system, and each local function depends only on a subset of the variables. An…

最优化与控制 · 数学 2016-05-04 Sandeep Kumar , Rahul Jain , Ketan Rajawat

We discuss an online decentralized decision making problem where the agents are coupled with affine inequality constraints. Alternating Direction Method of Multipliers (ADMM) is used as the computation engine and we discuss the convergence…

系统与控制 · 电气工程与系统科学 2020-11-20 Yuxiao Chen , Mario Santillo , Mrdjan Jankovic , Aaron D. Ames

In this work, we study a generic network cost minimization problem, in which every node has a local decision vector to determine. Each node incurs a cost depending on its decision vector and each link also incurs a cost depending on the…

最优化与控制 · 数学 2017-02-27 Xuanyu Cao , K. J. Ray Liu

Although deep learning models are highly effective for various learning tasks, their high computational costs prohibit the deployment to scenarios where either memory or computational resources are limited. In this paper, we focus on…

计算机视觉与模式识别 · 计算机科学 2017-09-14 Cong Leng , Hao Li , Shenghuo Zhu , Rong Jin