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We consider the problem of decentralized composite optimization over a symmetric connected graph, in which each node holds its own agent-specific private convex functions, and communications are only allowed between nodes with direct links.…

Optimization and Control · Mathematics 2018-09-06 Bin Wang , Jun Fang , Huiping Duan , Hongbin Li

We consider a stochastic convex optimization problem that requires minimizing a sum of misspecified agentspecific expectation-valued convex functions over the intersection of a collection of agent-specific convex sets. This misspecification…

Optimization and Control · Mathematics 2015-09-22 Aswin Kannan , Angelia Nedich , Uday V. Shanbhag

Decentralized planning is a key element of cooperative multi-agent systems for information gathering tasks. However, despite the high frequency of agent failures in realistic large deployment scenarios, current approaches perform poorly in…

Multiagent Systems · Computer Science 2024-09-04 Nhat Nguyen , Duong Nguyen , Gianluca Rizzo , Hung Nguyen

This paper proposes a multi-scale method to design a continuous-time distributed algorithm for constrained convex optimization problems by using multi-agents with Markov switched network dynamics and noisy inter-agent communications. Unlike…

Optimization and Control · Mathematics 2021-03-02 Wei Ni , Xiaoli Wang

This paper proposes a new framework for distributed optimization, called distributed aggregative optimization, which allows local objective functions to be dependent not only on their own decision variables, but also on the average of…

Optimization and Control · Mathematics 2020-05-28 Xiuxian Li , Lihua Xie , Yiguang Hong

Consider a set of N agents seeking to solve distributively the minimization problem $\inf_{x} \sum_{n = 1}^N f_n(x)$ where the convex functions $f_n$ are local to the agents. The popular Alternating Direction Method of Multipliers has the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-30 Franck Iutzeler , Pascal Bianchi , Philippe Ciblat , Walid Hachem

In this paper, we aim to solve a distributed optimization problem with affine coupling constraints in a multi-agent network, where the cost function of the agents is composed of smooth and possibly non-smooth parts. To solve this problem,…

Optimization and Control · Mathematics 2022-05-31 Jianzheng Wang , Guoqiang Hu

A key challenge in multi-robot and multi-agent systems is generating solutions that are robust to other self-interested or even adversarial parties who actively try to prevent the agents from achieving their goals. The practicality of…

Artificial Intelligence · Computer Science 2017-10-19 Trong Nghia Hoang , Yuchen Xiao , Kavinayan Sivakumar , Christopher Amato , Jonathan How

The decentralized optimization paradigm assumes that each term of a finite-sum objective is privately stored by the corresponding agent. Agents are only allowed to communicate with their neighbors in the communication graph. We consider the…

Optimization and Control · Mathematics 2023-09-07 Demyan Yarmoshik , Alexander Rogozin , Alexander Gasnikov

This work presents a distributed MPC-based approach to solving the problem of multi-agent point-to-point transition with optimization-based collision avoidance. The problem is formulated, motivated by the work on collision avoidance for…

Robotics · Computer Science 2021-08-04 Adarsh Patnaik , Ashish Ranjan Hota

This paper investigates solving convex composite optimization on an undirected network, where each node, privately endowed with a smooth component function and a nonsmooth one, is required to minimize the sum of all the component functions…

Optimization and Control · Mathematics 2021-08-13 Xuyang Wu , Jie Lu

Many real-world multi-agent systems exhibit nonlinear dynamics and complex inter-agent interactions. As these systems increase in scale, the main challenges arise from achieving scalability and handling nonconvexity. To address these…

Optimization and Control · Mathematics 2025-10-22 Taehyun Yoon , Augustinos D. Saravanos , Evangelos A. Theodorou

Consider the consensus problem of minimizing $f(x)=\sum_{i=1}^n f_i(x)$ where each $f_i$ is only known to one individual agent $i$ out of a connected network of $n$ agents. All the agents shall collaboratively solve this problem and obtain…

Optimization and Control · Mathematics 2016-10-13 Kun Yuan , Qing Ling , Wotao Yin

We propose a parallel adaptive constraint-tightening approach to solve a linear model predictive control problem for discrete-time systems, based on inexact numerical optimization algorithms and operator splitting methods. The underlying…

Optimization and Control · Mathematics 2015-03-24 Laura Ferranti , Tamas Keviczky

In this paper, we focus on a class of decentralized constraint-coupled optimization problem: $\min_{x_i \in \mathbb{R}^{d_i}, i \in \mathcal{I}; y \in \mathbb{R}^p}$ $\sum_{i=1}^n\left(f_i(x_i) + g_i(x_i)\right) + h(y) \ \text{s.t.} \…

Optimization and Control · Mathematics 2026-04-14 Jingwang Li , Vincent Lau

Decentralized distributed optimization over time-varying graphs (networks) is nowadays a very popular branch of research in optimization theory and consensus theory. One of the motivations to consider such networks is an application to…

Optimization and Control · Mathematics 2020-06-24 Alexander Rogozin , Alexander Gasnikov

In this paper we consider general rank minimization problems with rank appearing in either objective function or constraint. We first establish that a class of special rank minimization problems has closed-form solutions. Using this result,…

Optimization and Control · Mathematics 2012-05-30 Zhaosong Lu , Yong Zhang

The problem of minimizing a sum of local convex objective functions over a networked system captures many important applications and has received much attention in the distributed optimization field. Most of existing work focuses on…

Optimization and Control · Mathematics 2019-01-09 Fatemeh Mansoori , Ermin Wei

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

Distributed and decentralized optimization are key for the control of networked systems. Application examples include distributed model predictive control and distributed sensing or estimation. Non-linear systems, however, lead to problems…

Optimization and Control · Mathematics 2023-07-06 Alexander Engelmann , Gösta Stomberg , Timm Faulwasser
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