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We consider a class of distributed optimization problem where the objective function consists of a sum of strongly convex and smooth functions and a (possibly nonsmooth) convex regularizer. A multi-agent network is assumed, where each agent…

Optimization and Control · Mathematics 2021-10-01 Yichuan Li , Yonghai Gong , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

We consider the problem of minimizing the sum of cost functions pertaining to agents over a network whose topology is captured by a directed graph (i.e., asymmetric communication). We cast the problem into the ADMM setting, via a consensus…

Optimization and Control · Mathematics 2023-04-04 Dingran Yi , Nikolaos M. Freris

We address the problem of solving convex optimization problems with many convex constraints in a distributed setting. Our approach is based on an extension of the alternating direction method of multipliers (ADMM) that recently gained a lot…

Optimization and Control · Mathematics 2018-04-09 Joachim Giesen , Sören Laue

In this paper we propose and analyze two dual methods based on inexact gradient information and averaging that generate approximate primal solutions for smooth convex optimization problems. The complicating constraints are moved into the…

Optimization and Control · Mathematics 2013-02-14 Ion Necoara , Valentin Nedelcu

We consider the problem of regularized regression in a network of communication-constrained devices. Each node has local data and objectives, and the goal is for the nodes to optimize a global objective. We develop a distributed…

Optimization and Control · Mathematics 2016-03-22 Neil McGlohon , Stacy Patterson

This work investigates the distributed constrained optimization problem under inter-agent communication delays from the perspective of passivity. First, we propose a continuous-time algorithm for distributed constrained optimization with…

Optimization and Control · Mathematics 2022-05-02 Mengmou Li , Shunya Yamashita , Takeshi Hatanaka , Graziano Chesi

We take a new perspective on the weighted sum-rate maximization in multiple-input multiple-output (MIMO) interference networks, by formulating an equivalent max-min problem. This seemingly trivial reformulation has significant implications:…

Information Theory · Computer Science 2013-09-17 Lijun Chen , Seungil You

Within the framework of the augmented Lagrangian (AL), we propose a novel distributed optimization method, termed Distributed Augmented Lagrangian Decomposition (DALD), and provide a rigorous convergence proof for its standard version. To…

Optimization and Control · Mathematics 2025-10-07 Wenyou Guo , Ting Qu , Hainan Huang , Yafeng Wei

This paper develops a distributed primal-dual algorithm via event-triggered mechanism to solve a class of convex optimization problems subject to local set constraints, coupled equality and inequality constraints. Different from some…

Optimization and Control · Mathematics 2022-10-27 Yi Huang , Xianlin Zeng , Ziyang Meng , Jian Sun

In this paper, we investigate the distributed convex optimization problem over a multi-agent system with Markovian switching communication networks. The objective function is the sum of each agent's local objective function, which cannot be…

Optimization and Control · Mathematics 2020-02-25 Peng Yi , Li Li

We address differential privacy for fully distributed optimization subject to a shared inequality constraint. By co-designing the distributed optimization mechanism and the differential-privacy noise injection mechanism, we propose the…

Optimization and Control · Mathematics 2024-04-04 Yongqiang Wang , Angelia Nedic

We present a distributed proximal-gradient method for optimizing the average of convex functions, each of which is the private local objective of an agent in a network with time-varying topology. The local objectives have distinct…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-09 Annie I. Chen , Asuman Ozdaglar

We study distributed optimization algorithms for minimizing the average of convex functions. The applications include empirical risk minimization problems in statistical machine learning where the datasets are large and have to be stored on…

Optimization and Control · Mathematics 2016-01-07 Jason D. Lee , Qihang Lin , Tengyu Ma , Tianbao Yang

To account for the randomness of propagation channels and interference levels in hierarchical spectrum sharing, a novel approach to multihop routing is introduced for cognitive random access networks, whereby packets are randomly routed…

Optimization and Control · Mathematics 2012-07-05 Emiliano Dall'Anese , Georgios B. Giannakis

In this paper, we consider the resource allocation problem in a network with a large number of connections which are used by a huge number of users. The resource allocation problem under discussion is a maximization problem with linear…

Optimization and Control · Mathematics 2021-02-09 Anastasiya Ivanova , Dmitry Pasechnyuk , Pavel Dvurechensky , Alexander Gasnikov , Evgeniya Vorontsova

We consider a generic decentralized constrained optimization problem over static, directed communication networks, where each agent has exclusive access to only one convex, differentiable, local objective term and one convex constraint set.…

Optimization and Control · Mathematics 2023-11-09 Firooz Shahriari-Mehr , Ashkan Panahi

We present a distributed algorithm that enables a group of robots to collaboratively optimize the parameters of a deep neural network model while communicating over a mesh network. Each robot only has access to its own data and maintains…

Robotics · Computer Science 2022-01-25 Javier Yu , Joseph A. Vincent , Mac Schwager

In this paper, multi-stream transmission in interference networks aided by multiple amplify-and-forward (AF) relays in the presence of direct links is considered. The objective is to minimize the sum power of transmitters and relays by…

Signal Processing · Electrical Eng. & Systems 2018-12-31 Cenk M. Yetis , Ronald Y. Chang

In this work, we study a generic network cost minimization problem, in which every node has a local decision vector to determine. Each node incurs a cost depending on its decision vector and each link also incurs a cost depending on the…

Optimization and Control · Mathematics 2017-02-27 Xuanyu Cao , K. J. Ray Liu

Nonconvex and structured optimization problems arise in many engineering applications that demand scalable and distributed solution methods. The study of the convergence properties of these methods is in general difficult due to the…

Optimization and Control · Mathematics 2015-05-04 Sindri Magnússon , Pradeep Chathuranga Weeraddana , Michael G. Rabbat , Carlo Fischione
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