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In recent years, as data and problem sizes have increased, distributed learning has become an essential tool for training high-performance models. However, the communication bottleneck, especially for high-dimensional data, is a challenge.…

Optimization and Control · Mathematics 2025-04-28 Dmitry Bylinkin , Aleksandr Beznosikov

In multiple domains, statistical tasks are performed in distributed settings, with data split among several end machines that are connected to a fusion center. In various applications, the end machines have limited bandwidth and power, and…

Machine Learning · Computer Science 2026-01-05 Rodney Fonseca , Boaz Nadler

This work presents a distributed estimation algorithm that efficiently uses the available communication resources. The approach is based on Bayesian filtering that is distributed across a network by using the logarithmic opinion pool…

Robotics · Computer Science 2022-04-04 Miguel Calvo-Fullana , Jonathan P. How

We consider the problem of sequentially learning to estimate, in the mean squared error (MSE) sense, a Gaussian $K$-vector of unknown covariance by observing only $m < K$ of its entries in each round. We propose two MSE estimators, and…

Machine Learning · Computer Science 2025-05-05 Ayon Ghosh , L. A. Prashanth , Dipayan Sen , Aditya Gopalan

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving empirical risk minimization (ERM) problems with a nonsmooth regularization term. Our algorithm is applicable…

Machine Learning · Computer Science 2019-12-16 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

We consider distributed optimization as motivated by machine learning in a multi-agent system: each agent holds local data and the goal is to minimize an aggregate loss function over a common model, via an interplay of local training and…

Optimization and Control · Mathematics 2025-04-08 Dingran Yi , Fanhao Zeng , Nikolaos M. Freris

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

Optimization and Control · Mathematics 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

This work considers the problem of Distributed Mean Estimation (DME) over networks with intermittent connectivity, where the goal is to learn a global statistic over the data samples localized across distributed nodes with the help of a…

Information Theory · Computer Science 2023-03-02 Rajarshi Saha , Mohamed Seif , Michal Yemini , Andrea J. Goldsmith , H. Vincent Poor

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

In distributed optimization, a popular technique to reduce communication is quantization. In this paper, we provide a general analysis framework for inexact gradient descent that is applicable to quantization schemes. We also propose a…

Optimization and Control · Mathematics 2020-06-23 Tian Ye , Peijun Xiao , Ruoyu Sun

This paper aims to propose and theoretically analyze a new distributed scheme for sparse linear regression and feature selection. The primary goal is to learn the few causal features of a high-dimensional dataset based on noisy observations…

Machine Learning · Statistics 2021-11-05 Hanie Barghi , Amir Najafi , Seyed Abolfazl Motahari

Learning sparse combinations is a frequent theme in machine learning. In this paper, we study its associated optimization problem in the distributed setting where the elements to be combined are not centrally located but spread over a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-25 Aurélien Bellet , Yingyu Liang , Alireza Bagheri Garakani , Maria-Florina Balcan , Fei Sha

Decentralized optimization methods enable on-device training of machine learning models without a central coordinator. In many scenarios communication between devices is energy demanding and time consuming and forms the bottleneck of the…

Optimization and Control · Mathematics 2020-11-04 Dmitry Kovalev , Anastasia Koloskova , Martin Jaggi , Peter Richtarik , Sebastian U. Stich

We consider distributed optimization problems where forming the Hessian is computationally challenging and communication is a significant bottleneck. We develop unbiased parameter averaging methods for randomized second order optimization…

Machine Learning · Statistics 2020-02-18 Burak Bartan , Mert Pilanci

In distributed optimization and machine learning, multiple nodes coordinate to solve large problems. To do this, the nodes need to compress important algorithm information to bits so that it can be communicated over a digital channel. The…

Optimization and Control · Mathematics 2020-12-02 Sindri Magnússon , Hossein Shokri-Ghadikolaei , Na Li

Distributed algorithms and theories are called for in this era of big data. Under weaker local signal-to-noise ratios, we improve upon the celebrated one-round distributed principal component analysis (PCA) algorithm designed in the spirit…

Methodology · Statistics 2025-07-01 ZeYu Li , Xinsheng Zhang , Wang Zhou

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…

Optimization and Control · Mathematics 2024-03-27 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov , Alexander Gasnikov

Robust diffusion adaptive estimation algorithms based on the maximum correntropy criterion (MCC), including adaptation to combination MCC and combination to adaptation MCC, are developed to deal with the distributed estimation over network…

Machine Learning · Statistics 2016-02-04 Wentao Ma , Badong Chen , Jiandong Duan , Haiquan Zhao

We propose communication-efficient distributed estimation and inference methods for the transelliptical graphical model, a semiparametric extension of the elliptical distribution in the high dimensional regime. In detail, the proposed…

Machine Learning · Statistics 2016-12-30 Pan Xu , Lu Tian , Quanquan Gu

Distributed online convex optimization (D-OCO) is a powerful paradigm for modeling distributed scenarios with streaming data. However, the communication cost between local learners and the central server is substantial in large-scale…

Machine Learning · Computer Science 2026-04-13 Sifan Yang , Dan-Yue Li , Lijun Zhang