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Due to the substantial computational cost, training state-of-the-art deep neural networks for large-scale datasets often requires distributed training using multiple computation workers. However, by nature, workers need to frequently…

机器学习 · 计算机科学 2018-02-21 Yusuke Tsuzuku , Hiroto Imachi , Takuya Akiba

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…

最优化与控制 · 数学 2021-06-16 Van Sy Mai , Richard J. La , Tao Zhang , Abdella Battou

Decentralized optimization is crucial for multi-agent systems, with significant concerns about communication efficiency and privacy. This paper explores the role of efficient communication in decentralized stochastic gradient descent…

系统与控制 · 电气工程与系统科学 2025-06-10 Wei Huo , Changxin Liu , Kemi Ding , Karl Henrik Johansson , Ling Shi

Privacy issues and communication cost are both major concerns in distributed optimization. There is often a trade-off between them because the encryption methods required for privacy-preservation often incur expensive communication…

分布式、并行与集群计算 · 计算机科学 2021-06-01 Qiongxiu Li , Richard Heusdens , Mads Græsbøll Christensen

Decentralized optimization is gaining increased traction due to its widespread applications in large-scale machine learning and multi-agent systems. The same mechanism that enables its success, i.e., information sharing among participating…

最优化与控制 · 数学 2024-02-07 Yongqiang Wang , Angelia Nedic

This paper considers distributed nonconvex optimization with the cost functions being distributed over agents. Noting that information compression is a key tool to reduce the heavy communication load for distributed algorithms as agents…

最优化与控制 · 数学 2022-10-10 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

最优化与控制 · 数学 2011-05-02 Alekh Agarwal , John C. Duchi

We propose a flexible gradient tracking approach with adjustable computation and communication steps for solving distributed stochastic optimization problem over networks. The proposed method allows each node to perform multiple local…

最优化与控制 · 数学 2023-06-13 Yan Huang , Jinming Xu

In this paper we consider a novel partitioned framework for distributed optimization in peer-to-peer networks. In several important applications the agents of a network have to solve an optimization problem with two key features: (i) the…

系统与控制 · 计算机科学 2018-05-23 Ivano Notarnicola , Ruggero Carli , Giuseppe Notarstefano

Distributed computing is a standard way to scale up machine learning and data science algorithms to process large amounts of data. In such settings, avoiding communication amongst machines is paramount for achieving high performance. Rather…

机器学习 · 统计学 2021-05-04 Vasileios Charisopoulos , Austin R. Benson , Anil Damle

We propose a general optimization-based framework for computing differentially private M-estimators and a new method for constructing differentially private confidence regions. Firstly, we show that robust statistics can be used in…

统计理论 · 数学 2023-12-14 Marco Avella-Medina , Casey Bradshaw , Po-Ling Loh

Methods for distributed optimization have received significant attention in recent years owing to their wide applicability in various domains. A distributed optimization method typically consists of two key components: communication and…

最优化与控制 · 数学 2018-06-04 Albert S. Berahas , Raghu Bollapragada , Nitish Shirish Keskar , Ermin Wei

This paper considers the distributed optimization problem where each node of a peer-to-peer network minimizes a finite sum of objective functions by communicating with its neighboring nodes. In sharp contrast to the existing literature…

最优化与控制 · 数学 2022-01-17 Jiaqi Zhang , Keyou You , Tamer Başar

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

系统与控制 · 电气工程与系统科学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

The distributed optimization problem has become increasingly relevant recently. It has a lot of advantages such as processing a large amount of data in less time compared to non-distributed methods. However, most distributed approaches…

最优化与控制 · 数学 2024-03-27 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov , Alexander Gasnikov

Newton-type methods are popular in federated learning due to their fast convergence. Still, they suffer from two main issues, namely: low communication efficiency and low privacy due to the requirement of sending Hessian information from…

机器学习 · 计算机科学 2022-06-20 Anis Elgabli , Chaouki Ben Issaid , Amrit S. Bedi , Ketan Rajawat , Mehdi Bennis , Vaneet Aggarwal

We present a hybrid systems framework for multi-agent optimization in which agents execute computations in continuous time and communicate in discrete time. The optimization algorithm is a hybrid version of parallelized coordinate descent.…

最优化与控制 · 数学 2021-10-04 Katherine Hendrickson , Dawn Hustig-Schultz , Matthew Hale , Ricardo G. Sanfelice

A wider selection of step sizes is explored for the distributed subgradient algorithm for multi-agent optimization problems, for both time-invariant and time-varying communication topologies. The square summable requirement of the step…

最优化与控制 · 数学 2016-02-02 Peng Wang , Wei Ren

Modern statistical estimation is often performed in a distributed setting where each sample belongs to a single user who shares their data with a central server. Users are typically concerned with preserving the privacy of their samples,…

There is growing interest in applying distributed machine learning to edge computing, forming federated edge learning. Federated edge learning faces non-i.i.d. and heterogeneous data, and the communication between edge workers, possibly…

机器学习 · 计算机科学 2022-01-27 Canh T. Dinh , Nguyen H. Tran , Tuan Dung Nguyen , Wei Bao , Amir Rezaei Balef , Bing B. Zhou , Albert Y. Zomaya