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Stochastic gradient methods for machine learning and optimization problems are usually analyzed assuming data points are sampled \emph{with} replacement. In practice, however, sampling \emph{without} replacement is very common, easier to…

机器学习 · 计算机科学 2016-10-18 Ohad Shamir

Performance of distributed optimization and learning systems is bottlenecked by "straggler" nodes and slow communication links, which significantly delay computation. We propose a distributed optimization framework where the dataset is…

机器学习 · 统计学 2018-03-15 Can Karakus , Yifan Sun , Suhas Diggavi , Wotao Yin

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

最优化与控制 · 数学 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

To understand the convergence behavior of the Push-Pull method for decentralized optimization with stochastic gradients (Stochastic Push-Pull), this paper presents a comprehensive analysis. Specifically, we first clarify the algorithm's…

最优化与控制 · 数学 2025-06-10 Runze You , Shi Pu

We consider the optimization problem of minimizing the sum-of-nonconvex function, i.e., a convex function that is the average of nonconvex components. The existing stochastic algorithms for such a problem only focus on a single machine and…

最优化与控制 · 数学 2024-02-06 Zhuanghua Liu , Bryan Kian Hsiang Low

The problem of minimizing a separable convex function under linearly coupled constraints arises from various application domains such as economic systems, distributed control, and network flow. The main challenge for solving this problem is…

最优化与控制 · 数学 2017-09-05 Qin Fan , Min Xu , Yiming Ying

In this paper we consider convergence rate problems for stochastic strongly-convex optimization in the non-Euclidean sense with a constraint set over a time-varying multi-agent network. We propose two efficient non-Euclidean stochastic…

最优化与控制 · 数学 2018-08-23 Deming Yuan , Yiguang Hong , Daniel W. C. Ho , Guoping Jiang

The emerging large-scale and data-hungry algorithms require the computations to be delegated from a central server to several worker nodes. One major challenge in the distributed computations is to tackle delays and failures caused by the…

信息论 · 计算机科学 2021-03-03 Alejandro Cohen , Guillaume Thiran , Homa Esfahanizadeh , Muriel Médard

Distributed optimization often requires finding the minimum of a global objective function written as a sum of local functions. A group of agents work collectively to minimize the global function. We study a continuous-time decentralized…

最优化与控制 · 数学 2020-11-25 Youbang Sun , Shahin Shahrampour

In this paper, we are interested in finding the global minimizer of a nonsmooth nonconvex unconstrained optimization problem. By combining the discrete consensus-based optimization (CBO) algorithm and the gradient descent method, we develop…

最优化与控制 · 数学 2025-01-16 Jiazhen Wei , Fan Wu , Wei Bian

Distributed stochastic optimization, arising in the crossing and integration of traditional stochastic optimization, distributed computing and storage, and network science, has advantages of high efficiency and a low per-iteration…

最优化与控制 · 数学 2025-05-20 Jinhui Hu , Guo Chen , Huaqing Li , Zixiang Shen , Weidong Zhang

In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

系统与控制 · 计算机科学 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

In this paper we consider large-scale smooth optimization problems with multiple linear coupled constraints. Due to the non-separability of the constraints, arbitrary random sketching would not be guaranteed to work. Thus, we first…

最优化与控制 · 数学 2018-08-09 Ion Necoara , Martin Takac

Distributed average consensus is the main mechanism in algorithms for decentralized computation. In distributed average consensus algorithm each node has an initial state, and the goal is to compute the average of these initial states in…

信息论 · 计算机科学 2012-01-24 Saber Jafarizadeh , Abbas Jamalipour

In this paper, an optimal consensus problem with local inequality constraints is studied for a network of single-integrator agents. The goal is that a group of single-integrator a gents rendezvous at the optimal point of the sum of local…

动力系统 · 数学 2018-03-14 Amir Adibzadeh , Mohsen Zamani , Amir A. Suratgar , Mohammad B. Menhaj

Motivated by the need for decentralized learning, this paper aims at designing a distributed algorithm for solving nonconvex problems with general linear constraints over a multi-agent network. In the considered problem, each agent owns…

最优化与控制 · 数学 2022-06-23 Jiawei Zhang , Songyang Ge , Tsung-Hui Chang , Zhi-Quan Luo

Various distributed optimization methods have been developed for solving problems which have simple local constraint sets and whose objective function is the sum of local cost functions of distributed agents in a network. Motivated by…

系统与控制 · 计算机科学 2016-11-17 Tsung-Hui Chang , Angelia Nedić , Anna Scaglione

In this paper, we focus on the decentralized composite optimization for convex functions. Because of advantages such as robust to the network and no communication bottle-neck in the central server, the decentralized optimization has…

最优化与控制 · 数学 2024-07-16 Haishan Ye , Xiangyu Chang

Motivated by decentralized sensing and policy evaluation problems, we consider a particular type of distributed stochastic optimization problem over a network, called the online stochastic distributed averaging problem. We design a…

最优化与控制 · 数学 2022-08-10 Sheng Zhang , Ashwin Pananjady , Justin Romberg

This paper studies distributed Bayesian learning in a setting encompassing a central server and multiple workers by focusing on the problem of mitigating the impact of stragglers. The standard one-shot, or embarrassingly parallel, Bayesian…

机器学习 · 计算机科学 2022-08-30 Hari Hara Suthan Chittoor , Osvaldo Simeone