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We propose a communicationally and computationally efficient algorithm for high-dimensional distributed sparse learning. At each iteration, local machines compute the gradient on local data and the master machine solves one shifted $l_1$…

机器学习 · 统计学 2017-09-12 Jineng Ren , Jarvis Haupt

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 study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. Recent advances using the distributed gradient…

最优化与控制 · 数学 2019-05-14 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

This paper addresses the limitations of conventional vector quantization algorithms, particularly K-Means and its variant K-Means++, and investigates the Stochastic Quantization (SQ) algorithm as a scalable alternative for high-dimensional…

机器学习 · 计算机科学 2025-03-11 Anton Kozyriev , Vladimir Norkin

Quantization can be used to form new vectors/matrices with shared values close to the original. In recent years, the popularity of scalar quantization for value-sharing applications has been soaring as it has been found huge utilities in…

机器学习 · 计算机科学 2019-12-11 Chen Wang , Xiaomei Yang , Shaomin Fei , Kai Zhou , Xiaofeng Gong , Miao Du , Ruisen Luo

Distributed learning, particularly variants of distributed stochastic gradient descent (DSGD), are widely employed to speed up training by leveraging computational resources of several workers. However, in practise, communication delay…

机器学习 · 计算机科学 2020-11-13 Kerem Ozfatura , Emre Ozfatura , Deniz Gunduz

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…

最优化与控制 · 数学 2016-01-07 Jason D. Lee , Qihang Lin , Tengyu Ma , Tianbao Yang

In order to mitigate the high communication cost in distributed and federated learning, various vector compression schemes, such as quantization, sparsification and dithering, have become very popular. In designing a compression method, one…

机器学习 · 计算机科学 2021-05-04 Mher Safaryan , Egor Shulgin , Peter Richtárik

We extract a core principle underlying seemingly different fundamental distributed settings, showing sparsity awareness may induce faster algorithms for problems in these settings. To leverage this, we establish a new framework by…

分布式、并行与集群计算 · 计算机科学 2021-12-01 Keren Censor-Hillel , Dean Leitersdorf , Volodymyr Polosukhin

In this paper, 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…

分布式、并行与集群计算 · 计算机科学 2018-05-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

Communication efficiency and privacy protection are two critical issues in distributed machine learning. Existing methods tackle these two issues separately and may have a high implementation complexity that constrains their application in…

机器学习 · 计算机科学 2023-04-27 Guangfeng Yan , Tan Li , Kui Wu , Linqi Song

In recent years, the paradigm of cloud computing has emerged as an architecture for computing that makes use of distributed (networked) computing resources. In this paper, we consider a distributed computing algorithmic scheme for…

最优化与控制 · 数学 2017-09-22 Shi Pu , Alfredo Garcia

Modern deployment often requires trading accuracy for efficiency under tight CPU and memory constraints, yet common compression proxies such as parameter count or FLOPs do not reliably predict wall-clock inference time. In particular,…

机器学习 · 计算机科学 2026-04-10 Longsheng Zhou , Yu Shen

We study the decentralized consensus and stochastic optimization problems with compressed communications over static directed graphs. We propose an iterative gradient-based algorithm that compresses messages according to a desired…

最优化与控制 · 数学 2022-04-19 Mohammad Taha Toghani , César A. Uribe

Lossy image compression algorithms play a crucial role in various domains, including graphics, and image processing. As image information density increases, so do the resources required for processing and transmission. One of the most…

最优化与控制 · 数学 2024-10-10 Anton Kozyriev , Vladimir Norkin

We analyze two communication-efficient algorithms for distributed statistical optimization on large-scale data sets. The first algorithm is a standard averaging method that distributes the $N$ data samples evenly to $\nummac$ machines,…

机器学习 · 统计学 2013-10-14 Yuchen Zhang , John C. Duchi , Martin Wainwright

Modern applied optimization problems become more and more complex every day. Due to this fact, distributed algorithms that can speed up the process of solving an optimization problem through parallelization are of great importance. The main…

最优化与控制 · 数学 2023-12-14 Svetlana Tkachenko , Artem Andreev , Aleksandr Beznosikov , Alexander Gasnikov

Distributed and federated learning are essential paradigms for training models across decentralized data sources while preserving privacy, yet communication overhead remains a major bottleneck. This dissertation explores strategies to…

机器学习 · 计算机科学 2025-09-11 Kai Yi

Modern distributed training of machine learning models suffers from high communication overhead for synchronizing stochastic gradients and model parameters. In this paper, to reduce the communication complexity, we propose \emph{double…

最优化与控制 · 数学 2019-05-28 Yue Yu , Jiaxiang Wu , Longbo Huang

We consider the task of decentralized minimization of the sum of smooth strongly convex functions stored across the nodes of a network. For this problem, lower bounds on the number of gradient computations and the number of communication…

最优化与控制 · 数学 2020-11-16 Dmitry Kovalev , Adil Salim , Peter Richtárik