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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

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

In modern data science problems, techniques for extracting value from big data require performing large-scale optimization over heterogenous, irregularly structured data. Much of this data is best represented as multi-relational graphs,…

Artificial Intelligence · Computer Science 2014-06-10 Hui Miao , Xiangyang Liu , Bert Huang , Lise Getoor

One potential future for the next generation of smart grids is the use of decentralized optimization algorithms and secured communications for coordinating renewable generation (e.g., wind/solar), dispatchable devices (e.g.,…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Terrence W. K. Mak , Minas Chatzos , Mathieu Tanneau , Pascal Van Hentenryck

Federated reinforcement learning (FedRL) enables agents to collaboratively train a global policy without sharing their individual data. However, high communication overhead remains a critical bottleneck, particularly for natural policy…

Machine Learning · Computer Science 2023-11-01 Guangchen Lan , Han Wang , James Anderson , Christopher Brinton , Vaneet Aggarwal

This paper addresses the problem of optimal linear filtering in a network of local estimators, commonly referred to as distributed Kalman filtering (DKF). The DKF problem is formulated within a distributed optimization framework, where…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Muhammad Iqbal , Kundan Kumar , Simo Särkkä

The alternating direction method of multipliers (ADMM) is a powerful splitting algorithm for linearly constrained convex optimization problems. In view of its popularity and applicability, a growing attention is drawn towards the ADMM in…

Optimization and Control · Mathematics 2022-08-19 Sedi Bartz , Rubén Campoy , Hung M. Phan

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

Due to the explosion in size and complexity of modern data sets and privacy concerns of data holders, it is increasingly important to be able to solve machine learning problems in distributed manners. The Alternating Direction Method of…

Networking and Internet Architecture · Computer Science 2021-04-27 Saeedeh Parsaeefard , Alberto Leon Garcia

We give a general proof of convergence for the Alternating Direction Method of Multipliers (ADMM). ADMM is an optimization algorithm that has recently become very popular due to its capabilities to solve large-scale and/or distributed…

Optimization and Control · Mathematics 2011-12-13 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

In this article, we propose a communication-efficient decentralized machine learning (ML) algorithm, coined quantized group ADMM (Q-GADMM). To reduce the number of communication links, every worker in Q-GADMM communicates only with two…

Machine Learning · Computer Science 2025-01-22 Anis Elgabli , Jihong Park , Amrit S. Bedi , Chaouki Ben Issaid , Mehdi Bennis , Vaneet Aggarwal

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

The alternating direction method of multipliers (ADMM) is a flexible method to solve a large class of convex minimization problems. Particular features are its unconditional convergence with respect to the involved step size and its direct…

Numerical Analysis · Mathematics 2017-04-21 Sören Bartels , Marijo Milicevic

This paper presents a tutorial on the Consensus Alternating Direction Method of Multipliers (Consensus ADMM) for distributed optimization, with a specific focus on applications in multi-robot systems. In this tutorial, we derive the…

Optimization and Control · Mathematics 2024-10-08 Jushan Chen

In this paper, we study a dynamic version of the sharing problem, in which a dynamic system cost function composed of time-variant local costs of subsystems and a shared time-variant cost of the whole system is minimized. A dynamic…

Optimization and Control · Mathematics 2017-03-16 Xuanyu Cao , K. J. Ray Liu

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

With the proliferation of distributed energy resources and the volume of data stored due to advancement in metering infrastructure, energy management in power system operation needs distributed computing. In this paper, we propose a fully…

Systems and Control · Electrical Eng. & Systems 2020-05-21 Shailesh Wasti , Pablo Ubiratan , Shahab Afshar , Vahid Disfani

The alternating direction method of multipliers (ADM or ADMM) breaks a complex optimization problem into much simpler subproblems. The ADM algorithms are typically short and easy to implement yet exhibit (nearly) state-of-the-art…

Optimization and Control · Mathematics 2021-02-02 Ming Yan , Wotao Yin

Online multi-task learning (OMTL) enhances streaming data processing by leveraging the inherent relations among multiple tasks. It can be described as an optimization problem in which a single loss function is defined for multiple tasks.…

Machine Learning · Computer Science 2024-11-12 Ruiyu Li , Peilin Zhao , Guangxia Li , Zhiqiang Xu , Xuewei Li

This paper examines online distributed Alternating Direction Method of Multipliers (ADMM). The goal is to distributively optimize a global objective function over a network of decision makers under linear constraints. The global objective…

Optimization and Control · Mathematics 2015-10-05 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi
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