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Due to the limited energy of sensor nodes in wireless sensor networks, extending the networks lifetime is a major challenge that can be formulated as an optimization problem. In this paper, we propose a distributed iterative algorithm based…

Networking and Internet Architecture · Computer Science 2018-07-31 Farzad Tashtarian , Ahmadreza Montazerolghaem , Amir Varasteh

In this work we focus on the problem of minimizing the sum of convex cost functions in a distributed fashion over a peer-to-peer network. In particular, we are interested in the case in which communications between nodes are prone to…

Optimization and Control · Mathematics 2020-07-24 Nicola Bastianello , Ruggero Carli , Luca Schenato , Marco Todescato

Distributed optimization is fundamental to large-scale machine learning and control applications. Among existing methods, the alternating direction method of multipliers (ADMM) has gained popularity due to its strong convergence guarantees…

Machine Learning · Computer Science 2026-04-15 Henri Doerks , Paul Häusner , Daniel Hernández Escobar , Jens Sjölund

We consider a resource allocation problem over an undirected network of agents, where edges of the network define communication links. The goal is to minimize the sum of agent-specific convex objective functions, while the agents' decisions…

Optimization and Control · Mathematics 2019-11-27 Goran Banjac , Felix Rey , Paul Goulart , John Lygeros

This paper proposes a fully distributed reactive power optimization algorithm that can obtain the global optimum of non-convex problems for distribution networks without a central coordinator. Second-order cone (SOC) relaxation is used to…

Optimization and Control · Mathematics 2014-09-12 Weiye Zheng , Wenchuan Wu , Boming Zhang , Hongbin Sun , Liu Yibing

In several smart city applications, multiple resources must be allocated among competing agents that are coupled through such shared resources and are constrained --- either through limitations of communication infrastructure or privacy…

Systems and Control · Computer Science 2023-10-19 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

In this paper, we review the parallel and distributed optimization algorithms based on alternating direction method of multipliers (ADMM) for solving "big data" optimization problem in smart grid communication networks. We first introduce…

Systems and Control · Computer Science 2015-03-03 Lanchao Liu , Zhu Han

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

Optimization and Control · Mathematics 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

In decentralized consensus optimization, a connected network of agents collaboratively minimize the sum of their local objective functions over a common decision variable, where their information exchange is restricted between the…

Optimization and Control · Mathematics 2015-06-16 Wei Shi , Qing Ling , Kun Yuan , Gang Wu , Wotao Yin

Large-scale multi-input multi-output (MIMO) code domain non-orthogonal multiple access (CD-NOMA) techniques are one of the potential candidates to address the next-generation wireless needs such as massive connectivity, and high…

Information Theory · Computer Science 2023-06-06 Vinjamoori Vikas , Kuntal Deka , Sanjeev Sharma , A. Rajesh

The performance of computer networks relies on how bandwidth is shared among different flows. Fair resource allocation is a challenging problem particularly when the flows evolve over time. To address this issue, bandwidth sharing…

Networking and Internet Architecture · Computer Science 2018-09-24 Zaid Allybokus , Konstantin Avrachenkov , Jérémie Leguay , Lorenzo Maggi

In this paper, a distributed convex optimization algorithm, termed \emph{distributed coordinate dual averaging} (DCDA) algorithm, is proposed. The DCDA algorithm addresses the scenario of a large distributed optimization problem with…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-31 Milind Rao , Stefano Rini , Andrea Goldsmith

Due to massive amounts of data distributed across multiple locations, distributed machine learning has attracted a lot of research interests. Alternating Direction Method of Multipliers (ADMM) is a powerful method of designing distributed…

Machine Learning · Computer Science 2020-12-10 Jiahao Ding , Xiaoqi Qin , Wenjun Xu , Yanmin Gong , Chi Zhang , Miao Pan

The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

The alternating direction method of multipliers (ADMM) has recently been recognized as a promising approach for large-scale machine learning models. However, very few results study ADMM from the aspect of communication costs, especially…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-25 Yu Ye , Hao Chen , Zheng Ma , Ming Xiao

Distributed optimization consists of multiple computation nodes working together to minimize a common objective function through local computation iterations and network-constrained communication steps. In the context of robotics,…

Robotics · Computer Science 2021-03-25 Trevor Halsted , Ola Shorinwa , Javier Yu , Mac Schwager

The paper presents a distributed model predictive control (DMPC) scheme for continuous-time nonlinear systems based on the alternating direction method of multipliers (ADMM). A stopping criterion in the ADMM algorithm limits the iterations…

Optimization and Control · Mathematics 2017-06-30 Anja Bestler , Knut Graichen

The Alternating Direction Method of Multipliers (ADMM) has been studied for years. The traditional ADMM algorithm needs to compute, at each iteration, an (empirical) expected loss function on all training examples, resulting in a…

Machine Learning · Statistics 2014-06-10 Peilin Zhao , Jinwei Yang , Tong Zhang , Ping Li

There has been an increasing necessity for scalable optimization methods, especially due to the explosion in the size of datasets and model complexity in modern machine learning applications. Scalable solvers often distribute the…

Optimization and Control · Mathematics 2020-09-08 Guilherme França , José Bento

In this paper we propose an efficient distributed algorithm for solving loosely coupled convex optimization problems. The algorithm is based on a primal-dual interior-point method in which we use the alternating direction method of…

Optimization and Control · Mathematics 2015-02-10 Mariette Annergren , Sina Khoshfetrat Pakazad , Anders Hansson , Bo Wahlberg