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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. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

This paper aims to address distributed optimization problems over directed and time-varying networks, where the global objective function consists of a sum of locally accessible convex objective functions subject to a feasible set…

Optimization and Control · Mathematics 2020-07-14 Xiuxian Li , Gang Feng , Lihua Xie

This paper proposes a distributed algorithm for a network of agents to solve an optimization problem with separable objective function and locally coupled constraints. Our strategy is based on reformulating the original constrained problem…

Optimization and Control · Mathematics 2021-03-12 Priyank Srivastava , Jorge Cortes

The paper considers distributed stochastic optimization over randomly switching networks, where agents collaboratively minimize the average of all agents' local expectation-valued convex cost functions. Due to the stochasticity in gradient…

Optimization and Control · Mathematics 2022-04-07 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

We consider the problem of distributed learning, where a network of agents collectively aim to agree on a hypothesis that best explains a set of distributed observations of conditionally independent random processes. We propose a…

Optimization and Control · Mathematics 2017-04-12 Angelia Nedić , Alex Olshevsky , César A. Uribe

We study a distributed consensus-based stochastic gradient descent (SGD) algorithm and show that the rate of convergence involves the spectral properties of two matrices: the standard spectral gap of a weight matrix from the network…

Optimization and Control · Mathematics 2016-09-02 Avleen S. Bijral , Anand D. Sarwate , Nathan Srebro

Distributed learning paradigms, such as federated and decentralized learning, allow for the coordination of models across a collection of agents, and without the need to exchange raw data. Instead, agents compute model updates locally based…

Machine Learning · Computer Science 2022-04-04 Stefan Vlaski , Christian Schroth , Michael Muma , Abdelhak M. Zoubir

Adaptive networks (ANs) are effective real time techniques to process and track events observed by sensor networks and, more recently, to equip Internet of Things (IoT) applications. ANs operate over nodes equipped with collaborative…

Optimization and Control · Mathematics 2023-07-13 Cassio G. Lopes , Vítor H. Nascimento , Luiz F. O. Chamon

Data aggregation is a fundamental primitive in distributed computing wherein a network computes a function of every nodes' input. However, while compute time is non-negligible in modern systems, standard models of distributed computing do…

Data Structures and Algorithms · Computer Science 2019-11-14 Bernhard Haeupler , D Ellis Hershkowitz , Anson Kahng , Ariel D. Procaccia

This note studies the distributed non-convex optimization problem with non-smooth regularization, which has wide applications in decentralized learning, estimation and control. The objective function is the sum of different local objective…

Optimization and Control · Mathematics 2021-03-04 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

We address the problem of distributed state estimation of a linear dynamical process in an attack-prone environment. Recent attempts to solve this problem impose stringent redundancy requirements on the measurement and communication…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Aritra Mitra , Faiq Ghawash , Shreyas Sundaram , Waseem Abbas

The proliferation of science and technology has led to the prevalence of voluminous data sets that are distributed across multiple machines. It is an established fact that conventional statistical methodologies may be unfeasible in the…

Statistics Theory · Mathematics 2023-10-24 Lu Yan , Jiang Hu

The purpose of a wireless sensor network (WSN) is to provide the users with access to the information of interest from data gathered by spatially distributed sensors. Generally the users require only certain aggregate functions of this…

Cryptography and Security · Computer Science 2011-01-18 Jaydip Sen

This paper considers distributed statistical inference for general symmetric statistics %that encompasses the U-statistics and the M-estimators in the context of massive data where the data can be stored at multiple platforms in different…

Statistics Theory · Mathematics 2018-05-30 Song Xi Chen , Liuhua Peng

We present distributed algorithms that can be used by multiple agents to align their estimates with a particular value over a network with time-varying connectivity. Our framework is general in that this value can represent a consensus…

Optimization and Control · Mathematics 2010-04-20 Angelia Nedić , Asuman Ozdaglar , Pablo A. Parrilo

Many large-scale constrained optimization problems can be formulated as bilevel distributed optimization tasks over undirected networks, where agents collaborate to minimize a global cost function while adhering to constraints, relying only…

Optimization and Control · Mathematics 2025-11-25 Ajay Tak , Mayank Baranwal

Nowadays, huge amounts of data are naturally collected in distributed sites due to different facts and moving these data through the network for extracting useful knowledge is almost unfeasible for either technical reasons or policies.…

Databases · Computer Science 2017-03-30 Lamine M. Aouad , Nhien-An Le-Khac , Tahar Kechadi

This paper presents a new approach to distributed linear filtering and prediction. The problem under consideration consists of a random dynamical system observed by a multi-agent network of sensors where the network is sparse. Inspired by…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Subhro Das

The problem of distributed dynamic state estimation in wireless sensor networks is studied. Two important properties of local estimates, namely, the consistency and confidence, are emphasized. On one hand, the consistency, which means that…

Information Theory · Computer Science 2016-11-15 Shaocheng Wang , Wei Ren

Distributed resource allocation (DRA) is fundamental to modern networked systems, spanning applications from economic dispatch in smart grids to CPU scheduling in data centers. Conventional DRA approaches require reliable communication, yet…

Systems and Control · Electrical Eng. & Systems 2025-10-22 Mohammadreza Doostmohammadian , Sergio Pequito