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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…

Machine Learning · Computer Science 2018-02-21 Yusuke Tsuzuku , Hiroto Imachi , Takuya Akiba

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…

Optimization and Control · Mathematics 2024-07-16 Haishan Ye , Xiangyu Chang

In distributed optimization and learning, several machines alternate between local computations in parallel and communication with a distant server. Communication is usually slow and costly and forms the main bottleneck. This is…

Machine Learning · Computer Science 2024-04-30 Laurent Condat , Ivan Agarský , Grigory Malinovsky , Peter Richtárik

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

Optimization and Control · Mathematics 2020-07-15 Jineng Ren , Jarvis Haupt

We consider the problem of communication efficient distributed optimization where multiple nodes exchange important algorithm information in every iteration to solve large problems. In particular, we focus on the stochastic variance-reduced…

Machine Learning · Computer Science 2020-03-16 Hossein S. Ghadikolaei , Sindri Magnusson

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…

Optimization and Control · Mathematics 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

We consider the task of compression of information when the source of the information and the destination do not agree on the prior, i.e., the distribution from which the information is being generated. This setting was considered…

Information Theory · Computer Science 2012-11-27 Elad Haramaty , Madhu Sudan

We study distributed estimation of a Gaussian mean under communication constraints in a decision theoretical framework. Minimax rates of convergence, which characterize the tradeoff between the communication costs and statistical accuracy,…

Statistics Theory · Mathematics 2020-02-11 T. Tony Cai , Hongji Wei

Optimizing distributed learning systems is an art of balancing between computation and communication. There have been two lines of research that try to deal with slower networks: {\em communication compression} for low bandwidth networks,…

Machine Learning · Computer Science 2019-02-04 Hanlin Tang , Shaoduo Gan , Ce Zhang , Tong Zhang , Ji Liu

Distributed learning algorithms, such as the ones employed in Federated Learning (FL), require communication compression to reduce the cost of client uploads. The compression methods used in practice are often biased, making error feedback…

Machine Learning · Computer Science 2025-09-12 Tomas Ortega , Chun-Yin Huang , Xiaoxiao Li , Hamid Jafarkhani

The process of state preparation, its transmission and subsequent measurement can be classically simulated through the communication of some amount of classical information. Recently, we proved that the minimal communication cost is the…

Quantum Physics · Physics 2014-01-17 Alberto Montina , Stefan Wolf

In this paper, a communication-efficient multi-processor compressed sensing framework based on the approximate message passing algorithm is proposed. We perform lossy compression on the data being communicated between processors, resulting…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Puxiao Han , Junan Zhu , Ruixin Niu , Dror Baron

In this paper, we study the distributed nonconvex optimization problem, which aims to minimize the average value of the local nonconvex cost functions using local information exchange. To reduce the communication overhead, we introduce…

Optimization and Control · Mathematics 2025-02-12 Lei Xu , Xinlei Yi , Guanghui Wen , Yang Shi , Karl H. Johansson , Tao Yang

Currently, progressively larger deep neural networks are trained on ever growing data corpora. As this trend is only going to increase in the future, distributed training schemes are becoming increasingly relevant. A major issue in…

Machine Learning · Computer Science 2018-05-23 Felix Sattler , Simon Wiedemann , Klaus-Robert Müller , Wojciech Samek

We consider implementations of a bipartite unitary on many pairs of unknown input states by local operation and classical communication assisted by shared entanglement. We investigate to what extent the entanglement cost and the classical…

Quantum Physics · Physics 2014-07-21 Eyuri Wakakuwa , Mio Murao

With the increasing scale of machine learning tasks, it has become essential to reduce the communication between computing nodes. Early work on gradient compression focused on the bottleneck between CPUs and GPUs, but…

Optimization and Control · Mathematics 2020-06-18 Sarit Khirirat , Sindri Magnússon , Arda Aytekin , Mikael Johansson

Distributed optimization methods are often applied to solving huge-scale problems like training neural networks with millions and even billions of parameters. In such applications, communicating full vectors, e.g., (stochastic) gradients,…

Optimization and Control · Mathematics 2022-05-31 Marina Danilova , Eduard Gorbunov

Effective communication between the server and workers plays a key role in distributed optimization. In this paper, we focus on optimizing the server-to-worker communication, uncovering inefficiencies in prevalent downlink compression…

Optimization and Control · Mathematics 2024-11-05 Kaja Gruntkowska , Alexander Tyurin , Peter Richtárik

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

Optimization and Control · Mathematics 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

Stochastic bilevel optimization tackles challenges involving nested optimization structures. Its fast-growing scale nowadays necessitates efficient distributed algorithms. In conventional distributed bilevel methods, each worker must…

Optimization and Control · Mathematics 2024-05-30 Yutong He , Jie Hu , Xinmeng Huang , Songtao Lu , Bin Wang , Kun Yuan