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Distributed Mean Estimation (DME), in which $n$ clients communicate vectors to a parameter server that estimates their average, is a fundamental building block in communication-efficient federated learning. In this paper, we improve on…

Machine Learning · Computer Science 2023-06-13 Ran Ben Basat , Shay Vargaftik , Amit Portnoy , Gil Einziger , Yaniv Ben-Itzhak , Michael Mitzenmacher

In this work and its accompanying Part II [1], we develop an accelerated algorithmic framework, DAMA (Decentralized Accelerated Minimax Approach), for nonconvex Polyak-Lojasiewicz minimax optimization over decentralized multi-agent…

Optimization and Control · Mathematics 2025-12-17 Haoyuan Cai , Sulaiman A. Alghunaim , Ali H. Sayed

We consider the distributed optimization problem, where a group of agents work together to optimize a common objective by communicating with neighboring agents and performing local computations. For a given algorithm, we use tools from…

Optimization and Control · Mathematics 2020-09-11 Bryan Van Scoy , Laurent Lessard

We present the first distributed optimization algorithm with lazy communication for collaborative geometric estimation, the backbone of modern collaborative simultaneous localization and mapping (SLAM) and structure-from-motion (SfM)…

Distributed optimization methods for large-scale machine learning suffer from a communication bottleneck. It is difficult to reduce this bottleneck while still efficiently and accurately aggregating partial work from different machines. In…

Machine Learning · Computer Science 2015-07-06 Chenxin Ma , Virginia Smith , Martin Jaggi , Michael I. Jordan , Peter Richtárik , Martin Takáč

Gradient-based optimization methods implemented on distributed computing architectures are increasingly used to tackle large-scale machine learning applications. A key bottleneck in such distributed systems is the high communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-11 Xiaoge Deng , Dongsheng Li , Tao Sun , Xicheng Lu

We present a distributed proximal-gradient method for optimizing the average of convex functions, each of which is the private local objective of an agent in a network with time-varying topology. The local objectives have distinct…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-09 Annie I. Chen , Asuman Ozdaglar

The challenge of communication-efficient distributed optimization has attracted attention in recent years. In this paper, a communication efficient algorithm, called ordering-based alternating direction method of multipliers (OADMM) is…

Machine Learning · Computer Science 2022-02-08 Yicheng Chen , Rick S. Blum , Brian M. Sadler

Federated learning aims to jointly learn statistical models over massively distributed remote devices. In this work, we propose FedDANE, an optimization method that we adapt from DANE, a method for classical distributed optimization, to…

Machine Learning · Computer Science 2020-01-08 Tian Li , Anit Kumar Sahu , Manzil Zaheer , Maziar Sanjabi , Ameet Talwalkar , Virginia Smith

Modern large scale machine learning applications require stochastic optimization algorithms to be implemented on distributed computational architectures. A key bottleneck is the communication overhead for exchanging information such as…

Machine Learning · Computer Science 2017-10-31 Jianqiao Wangni , Jialei Wang , Ji Liu , Tong Zhang

We consider large scale distributed optimization over a set of edge devices connected to a central server, where the limited communication bandwidth between the server and edge devices imposes a significant bottleneck for the optimization…

Optimization and Control · Mathematics 2021-12-28 Yujie Tang , Vikram Ramanathan , Junshan Zhang , Na Li

Local SGD is a popular optimization method in distributed learning, often outperforming other algorithms in practice, including mini-batch SGD. Despite this success, theoretically proving the dominance of local SGD in settings with…

In this paper we study the distributed average consensus problem in multi-agent systems with directed communication links that are subject to quantized information flow. Specifically, we present and analyze a distributed averaging algorithm…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

We consider the problem of making distributed computations robust to noise, in particular to worst-case (adversarial) corruptions of messages. We give a general distributed interactive coding scheme which simulates any asynchronous…

Data Structures and Algorithms · Computer Science 2017-02-27 Keren Censor-Hillel , Ran Gelles , Bernhard Haeupler

In distributed optimization and federated learning, asynchronous alternating direction method of multipliers (ADMM) serves as an attractive option for large-scale optimization, data privacy, straggler nodes and variety of objective…

Machine Learning · Computer Science 2025-08-19 Sagar Shrestha

We study first-order optimization algorithms under the constraint that the descent direction is quantized using a pre-specified budget of $R$-bits per dimension, where $R \in (0 ,\infty)$. We propose computationally efficient optimization…

Machine Learning · Computer Science 2022-08-17 Rajarshi Saha , Mert Pilanci , Andrea J. Goldsmith

We propose a new distributed optimization algorithm for solving a class of constrained optimization problems in which (a) the objective function is separable (i.e., the sum of local objective functions of agents), (b) the optimization…

Optimization and Control · Mathematics 2021-06-16 Van Sy Mai , Richard J. La , Tao Zhang , Abdella Battou

We examine fundamental tradeoffs in iterative distributed zeroth and first order stochastic optimization in multi-agent networks in terms of \emph{communication cost} (number of per-node transmissions) and \emph{computational cost},…

Optimization and Control · Mathematics 2018-09-11 Anit Kumar Sahu , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

This paper develops distributed synchronous and asynchronous algorithms for the large-scale semi-definite programming with diagonal constraints, which has wide applications in combination optimization, image processing and community…

Optimization and Control · Mathematics 2021-04-02 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well…

Optimization and Control · Mathematics 2021-02-12 Shuubham Ojha , Ketan Rajawat
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