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The aim of this paper is to develop a general framework for training neural networks (NNs) in a distributed environment, where training data is partitioned over a set of agents that communicate with each other through a sparse, possibly…

Machine Learning · Statistics 2017-04-21 Simone Scardapane , Paolo Di Lorenzo

We propose two distributed iterative algorithms that can be used to solve, in finite time, the distributed optimization problem over quadratic local cost functions in large-scale networks. The first algorithm exhibits synchronous operation…

In this paper, we consider a distributed constrained optimization problem with delayed subgradient information over the time-varying communication network, where each agent can only communicate with its neighbors and the communication…

Optimization and Control · Mathematics 2021-06-16 Jie Liu , Zhan Yu , Daniel W. C. Ho

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

Optimization and Control · Mathematics 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

We consider a class of popular distributed non-convex optimization problems, in which agents connected by a network $\mathcal{G}$ collectively optimize a sum of smooth (possibly non-convex) local objective functions. We address the…

Optimization and Control · Mathematics 2020-01-08 Haoran Sun , Mingyi Hong

This paper studies a distributed stochastic optimization problem over random networks with imperfect communications subject to a global constraint, which is the intersection of local constraint sets assigned to agents. The global cost…

Optimization and Control · Mathematics 2016-07-25 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

We consider the problem of decentralized optimization in networks with communication delays. To accommodate delays, we need decentralized optimization algorithms that work on directed graphs. Existing approaches require nodes to know their…

Optimization and Control · Mathematics 2024-12-31 Tomas Ortega , Hamid Jafarkhani

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

This paper presents a distributed resource allocation algorithm to jointly optimize the power allocation, channel allocation and relay selection for decode-and-forward (DF) relay networks with a large number of sources, relays, and…

Information Theory · Computer Science 2015-03-19 Yin Sun , Zhoujia Mao , Xiaofeng Zhong , Yuanzhang Xiao , Shidong Zhou , Ness B. Shroff

This thesis is concerned with distributed control and coordination of networks consisting of multiple, potentially mobile, agents. This is motivated mainly by the emergence of large scale networks characterized by the lack of centralized…

Optimization and Control · Mathematics 2010-10-01 Alex Olshevsky

Despite significant advances on distributed continuous-time optimization of multi-agent networks, there is still lack of an efficient algorithm to achieve the goal of distributed optimization at a pre-specified time. Herein, we design a…

Optimization and Control · Mathematics 2021-06-23 Jialing Zhou , Yuezu Lv , Changyun Wen , Guanghui Wen

This paper studies a distributed continuous-time aggregative optimization problem, which is a fundamental problem in the price-based energy management. The objective of the distributed aggregative optimization is to minimize the sum of…

Optimization and Control · Mathematics 2023-09-26 Xin Cai , Feng Xiao , Bo Wei , Aiping Wang

This technical note studies the distributed optimization problem of a sum of nonsmooth convex cost functions with local constraints. At first, we propose a novel distributed continuous-time projected algorithm, in which each agent knows its…

Optimization and Control · Mathematics 2016-11-29 Xianlin Zeng , Peng Yi , Yiguang Hong

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard

Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

Optimization and Control · Mathematics 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

This paper deals with a distributed Mixed-Integer Linear Programming (MILP) set-up arising in several control applications. Agents of a network aim to minimize the sum of local linear cost functions subject to both individual constraints…

Optimization and Control · Mathematics 2021-02-12 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

We consider constraint-coupled optimization problems in which agents of a network aim to cooperatively minimize the sum of local objective functions subject to individual constraints and a common linear coupling constraint. We propose a…

Optimization and Control · Mathematics 2019-07-26 Alessandro Falsone , Ivano Notarnicola , Giuseppe Notarstefano , Maria Prandini
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