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Distributed supply-chain optimization demands algorithms that can cope with unreliable communication, unbounded messaging delays, and geographically dispersed agents while still guaranteeing convergence with provable rates. In this work, we…

Optimization and Control · Mathematics 2025-06-11 Laksh Patel , Neel Shanbhag

This paper studies the network optimization problem about which a group of agents cooperates to minimize a global function under practical constraints of finite bandwidth communication. Particularly, we propose an adaptive encoding-decoding…

Optimization and Control · Mathematics 2021-11-17 Ziqin Chen , Shu Liang , Li Li , Shuming Cheng

This paper addresses a class of constrained optimization problems over networks in which local cost functions and constraints can be nonconvex. We propose an asynchronous distributed optimization algorithm, relying on the centralized Method…

Optimization and Control · Mathematics 2018-12-11 Francesco Farina , Andrea Garulli , Antonio Giannitrapani , Giuseppe Notarstefano

This paper addresses the problem of nonconvex nonsmooth decentralised optimisation in multi-agent networks with undirected connected communication graphs. Our contribution lies in introducing an algorithmic framework designed for the…

Optimization and Control · Mathematics 2023-12-08 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

Distributed network optimization has been studied for well over a decade. However, we still do not have a good idea of how to design schemes that can simultaneously provide good performance across the dimensions of utility optimality,…

Networking and Internet Architecture · Computer Science 2017-07-19 Sinong Wang , Ness Shroff

This paper considers distributed nonconvex optimization with the cost functions being distributed over agents. Noting that information compression is a key tool to reduce the heavy communication load for distributed algorithms as agents…

Optimization and Control · Mathematics 2022-10-10 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

This article reports an algorithm for multi-agent distributed optimization problems with a common decision variable, local linear equality and inequality constraints and set constraints with convergence rate guarantees.…

Systems and Control · Electrical Eng. & Systems 2022-11-17 Vivek Khatana , Murti V. Salapaka

In the last few years, the theory of decentralized distributed convex optimization has made significant progress. The lower bounds on communications rounds and oracle calls have appeared, as well as methods that reach both of these bounds.…

Optimization and Control · Mathematics 2022-08-23 Eduard Gorbunov , Alexander Rogozin , Aleksandr Beznosikov , Darina Dvinskikh , Alexander Gasnikov

Optimal zero-delay coding (quantization) of $\mathbb{R}^d$-valued linearly generated Markov sources is studied under quadratic distortion. The structure and existence of deterministic and stationary coding policies that are optimal for the…

Information Theory · Computer Science 2022-01-17 Meysam Ghomi , Tamas Linder , Serdar Yuksel

In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

Optimization and Control · Mathematics 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

Distributed learning and adaptation have received significant interest and found wide-ranging applications in machine learning and signal processing. While various approaches, such as shared-memory optimization, multi-task learning, and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Pourya Behmandpoor , Marc Moonen , Panagiotis Patrinos

We study a standard distributed optimization framework where $N$ networked nodes collaboratively minimize the sum of their local convex costs. The main body of existing work considers the described problem when the underling network is…

Optimization and Control · Mathematics 2018-03-22 Anit Kumar Sahu , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or use fixed step-sizes that depend on and decrease with an upper bound of the delays. Not only are such delay…

Optimization and Control · Mathematics 2024-11-08 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

This paper presents a decentralized algorithm for solving distributed convex optimization problems in dynamic networks with time-varying objectives. The unique feature of the algorithm lies in its ability to accommodate a wide range of…

Optimization and Control · Mathematics 2023-07-12 Navneet Agrawal , Renato L. G. Cavalcante , Masahiro Yukawa , Slawomir Stanczak

Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or fixed step-sizes that depend on an assumed upper bound of delays. Not only is such a delay bound hard to…

Optimization and Control · Mathematics 2023-08-24 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

This paper considers a distributed convex optimization problem over a time-varying multi-agent network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

Optimization and Control · Mathematics 2018-05-22 Chuanye Gu , Zhiyou Wu , Jueyou Li , Yaning Guo

We design dynamic routing policies for an overlay network which meet delay requirements of real-time traffic being served on top of an underlying legacy network, where the overlay nodes do not know the underlay characteristics. We pose the…

Networking and Internet Architecture · Computer Science 2019-04-19 Rahul Singh , Eytan Modiano

We study the problem of distributed zero-order optimization for a class of strongly convex functions. They are formed by the average of local objectives, associated to different nodes in a prescribed network of connections. We propose a…

Optimization and Control · Mathematics 2021-06-29 Arya Akhavan , Massimiliano Pontil , Alexandre B. Tsybakov

This paper considers a distributed convex optimization problem with inequality constraints over time-varying unbalanced digraphs, where the cost function is a sum of local objectives, and each node of the graph only knows its local…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-30 Pei Xie , Keyou You , Roberto Tempo , Shiji Song , Cheng Wu

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

Systems and Control · Computer Science 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano