English
Related papers

Related papers: Quantized Distributed Nonconvex Optimization Algor…

200 papers

Distributed optimization finds many applications in machine learning, signal processing, and control systems. In these real-world applications, the constraints of communication networks, particularly limited bandwidth, necessitate…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Mohammadreza Doostmohammadian , Sérgio Pequito

We study distributed optimization algorithms for minimizing the average of convex functions. The applications include empirical risk minimization problems in statistical machine learning where the datasets are large and have to be stored on…

Optimization and Control · Mathematics 2016-01-07 Jason D. Lee , Qihang Lin , Tengyu Ma , Tianbao Yang

We propose a simple, stable and distributed algorithm which directly optimizes the nonconvex maximum likelihood criterion for sensor network localization, with no need to tune any free parameter. We reformulate the problem to obtain a…

Optimization and Control · Mathematics 2015-09-24 Claudia Soares , Joao Xavier , Joao Gomes

Decentralized optimization methods enable on-device training of machine learning models without a central coordinator. In many scenarios communication between devices is energy demanding and time consuming and forms the bottleneck of the…

Optimization and Control · Mathematics 2020-11-04 Dmitry Kovalev , Anastasia Koloskova , Martin Jaggi , Peter Richtarik , Sebastian U. Stich

Stochastic nonconvex-concave min-max saddle point problems appear in many machine learning and control problems including distributionally robust optimization, generative adversarial networks, and adversarial learning. In this paper, we…

Optimization and Control · Mathematics 2023-09-12 Morteza Boroun , Zeinab Alizadeh , Afrooz Jalilzadeh

We consider an extension of the Newton-MR algorithm for nonconvex unconstrained optimization to the settings where Hessian information is approximated. Under a particular noise model on the Hessian matrix, we investigate the iteration and…

Optimization and Control · Mathematics 2024-09-16 Alexander Lim , Fred Roosta

Federated learning is an efficient machine learning tool for dealing with heterogeneous big data and privacy protection. Federated learning methods with regularization can control the level of communications between the central and local…

Machine Learning · Computer Science 2024-11-05 Langming Liu , Dingxuan Zhou

We propose a distributed solution for a constrained convex optimization problem over a network of clustered agents each consisted of a set of subagents. The communication range of the clustered agents is such that they can form a connected…

Multiagent Systems · Computer Science 2021-04-06 Hossein Moradian , Solmaz S. Kia

This paper addresses a class of constrained optimization problems over networks in which local cost functions and constraints can be nonconvex. We propose an asynchronous distributed optimization algorithm, relying on the centralized Method…

Optimization and Control · Mathematics 2018-12-11 Francesco Farina , Andrea Garulli , Antonio Giannitrapani , Giuseppe Notarstefano

We study distributed big-data nonconvex optimization in multi-agent networks. We consider the (constrained) minimization of the sum of a smooth (possibly) nonconvex function, i.e., the agents' sum-utility, plus a convex (possibly) nonsmooth…

Optimization and Control · Mathematics 2018-09-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

Recently, there has been an increasing interest in designing distributed convex optimization algorithms under the setting where the data matrix is partitioned on features. Algorithms under this setting sometimes have many advantages over…

Machine Learning · Computer Science 2016-12-05 Zihao Chen , Luo Luo , Zhihua Zhang

In this paper, we focus on an aggregative optimization problem under the communication bottleneck. The aggregative optimization is to minimize the sum of local cost functions. Each cost function depends on not only local state variables but…

Optimization and Control · Mathematics 2022-01-07 Ziqin Chen , Shu Liang

We investigate fast and communication-efficient algorithms for the classic problem of minimizing a sum of strongly convex and smooth functions that are distributed among $n$ different nodes, which can communicate using a limited number of…

Optimization and Control · Mathematics 2021-06-21 Foivos Alimisis , Peter Davies , Dan Alistarh

This technical note studies the distributed optimization problem of a sum of nonsmooth convex cost functions with local constraints. At first, we propose a novel distributed continuous-time projected algorithm, in which each agent knows its…

Optimization and Control · Mathematics 2016-11-29 Xianlin Zeng , Peng Yi , Yiguang Hong

In Part I of this paper, we proposed and analyzed a novel algorithmic framework for the minimization of a nonconvex (smooth) objective function, subject to nonconvex constraints, based on inner convex approximations. This Part II is devoted…

Information Theory · Computer Science 2017-04-05 Gesualdo Scutari , Francisco Facchinei , Lorenzo Lampariello , Peiran Song , Stefania Sardellitti

We consider problems where agents in a network seek a common quantity, measured independently and periodically by each agent through a local time-varying process. Numerous solvers addressing such problems have been developed in the past,…

Optimization and Control · Mathematics 2024-03-08 Navneet Agrawal , Renato L. G. Cavalcante , Sławomir Stańczak

This paper investigates distributed resource allocation optimization over directed graphs with limited communication bandwidth. We develop a novel distributed algorithm that integrates the centralized Proximal Jacobian Alternating Direction…

Optimization and Control · Mathematics 2026-04-17 Xu Du , Boyu Han , Ivano Notarnicola , Karl H. Johansson , Apostolos I. Rikos

The scale of modern datasets necessitates the development of efficient distributed optimization methods for machine learning. We present a general-purpose framework for distributed computing environments, CoCoA, that has an efficient…

Machine Learning · Computer Science 2018-10-11 Virginia Smith , Simone Forte , Chenxin Ma , Martin Takac , Michael I. Jordan , Martin Jaggi

This paper considers distributed stochastic optimization, in which a number of agents cooperate to optimize a global objective function through local computations and information exchanges with neighbors over a network. Stochastic…

Optimization and Control · Mathematics 2022-08-09 Jie Hou , Xianlin Zeng , Gang Wang , Jian Sun , Jie Chen

A general nonlinear $1$st-order consensus-based solution for distributed constrained convex optimization is proposed with network resource allocation applications. The solution is used to optimize continuously-differentiable strictly convex…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Mohammadreza Doostmohammadian , Alireza Aghasi , Maria Vrakopoulou , Themistoklis Charalambous
‹ Prev 1 4 5 6 7 8 10 Next ›