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In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

Optimization and Control · Mathematics 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat

This paper considers the problem of distributed optimization over time-varying graphs. For the case of undirected graphs, we introduce a distributed algorithm, referred to as DIGing, based on a combination of a distributed inexact gradient…

Optimization and Control · Mathematics 2017-03-21 Angelia Nedich , Alex Olshevsky , Wei Shi

Consider a wireless network where each communication link has a minimum bandwidth quality-of-service requirement. Certain pairs of wireless links interfere with each other due to being in the same vicinity, and this interference is modeled…

Information Theory · Computer Science 2020-02-19 Ashwin Ganesan

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

Data Structures and Algorithms · Computer Science 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

This paper proposes the first distributed algorithm that solves the weight-balancing problem using only finite rate and simplex communications among nodes, compliant with the directed nature of the graph edges. It is proved that the…

Optimization and Control · Mathematics 2020-03-03 Chang-Shen Lee , Nicolò Michelusi , Gesualdo Scutari

We consider a standard distributed optimisation setting where $N$ machines, each holding a $d$-dimensional function $f_i$, aim to jointly minimise the sum of the functions $\sum_{i = 1}^N f_i (x)$. This problem arises naturally in…

Machine Learning · Computer Science 2021-12-08 Dan Alistarh , Janne H. Korhonen

We address the problem of distributed convex unconstrained optimization over networks characterized by asynchronous and possibly lossy communications. We analyze the case where the global cost function is the sum of locally coupled local…

Optimization and Control · Mathematics 2020-10-06 Marco Todescato , Nicoletta Bof , Guido Cavraro , Ruggero Carli , Luca Schenato

This paper develops a communication-efficient algorithm to solve the stochastic optimization problem defined over a distributed network, aiming at reducing the burdensome communication in applications such as distributed machine…

Machine Learning · Statistics 2020-01-06 Weiyu Li , Tianyi Chen , Liping Li , Zhaoxian Wu , Qing Ling

Distributed consensus optimization has received considerable attention in recent years; several distributed consensus-based algorithms have been proposed for (nonsmooth) convex and (smooth) nonconvex objective functions. However, the…

Optimization and Control · Mathematics 2019-11-05 Vyacheslav Kungurtsev

We analyze a class of distributed quantized consen- sus algorithms for arbitrary networks. In the initial setting, each node in the network has an integer value. Nodes exchange their current estimate of the mean value in the network, and…

Applications · Statistics 2013-05-21 Shang Shang , Paul W. Cuff , Pan Hui , Sanjeev R. Kulkarni

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

Distributed optimization often consists of two updating phases: local optimization and inter-node communication. Conventional approaches require working nodes to communicate with the server every one or few iterations to guarantee…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-17 Chi Zhang , Qianxiao Li

Information exchange over networks can be affected by various forms of delay. This causes challenges for using the network by a multi-agent system to solve a distributed optimisation problem. Distributed optimisation schemes, however,…

Optimization and Control · Mathematics 2021-05-25 Adrian Redder , Arunselvan Ramaswamy , Holger Karl

We provide a unifying framework for distributed convex optimization over time-varying networks, in the presence of constraints and uncertainty, features that are typically treated separately in the literature. We adopt a proximal…

Optimization and Control · Mathematics 2017-05-24 Kostas Margellos , Alessandro Falsone , Simone Garatti , Maria Prandini

Inspired by distributed resource allocation problems in dynamic topology networks, we initiate the study of distributed consensus with finite messaging passing. We first find a sufficient condition on the network graph for which no…

Information Theory · Computer Science 2010-07-01 Debashis Dash , Ashutosh Sabharwal

In this paper, we focus on the problem of data sharing over a wireless computer network (i.e., a wireless grid). Given a set of available data, we present a distributed algorithm which operates over a dynamically changing network, and…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

Gradient tracking methods have emerged as one of the most popular approaches for solving decentralized optimization problems over networks. In this setting, each node in the network has a portion of the global objective function, and the…

Optimization and Control · Mathematics 2023-11-27 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

In this paper, we consider solving the distributed optimization problem over a multi-agent network under the communication restricted setting. We study a compressed decentralized stochastic gradient method, termed ``compressed exact…

Optimization and Control · Mathematics 2024-10-01 Kun Huang , Shi Pu

We consider a standard distributed optimization problem in which networked nodes collaboratively minimize the sum of their locally known convex costs. For this setting, we address for the first time the fundamental problem of design and…

Optimization and Control · Mathematics 2025-06-02 Manojlo Vukovic , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

This paper studies a distributed multi-agent convex optimization problem. The system comprises multiple agents in this problem, each with a set of local data points and an associated local cost function. The agents are connected to a…

Optimization and Control · Mathematics 2021-08-20 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra