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We develop a novel formulation of the Performance Estimation Problem (PEP) for decentralized optimization whose size is independent of the number of agents in the network. The PEP approach allows computing automatically the worst-case…

最优化与控制 · 数学 2023-02-20 Sebastien Colla , Julien M. Hendrickx

We present a methodology to automatically compute worst-case performance bounds for a large class of first-order decentralized optimization algorithms. These algorithms aim at minimizing the average of local functions that are distributed…

最优化与控制 · 数学 2023-12-14 Sebastien Colla , Julien M. Hendrickx

We establish that in distributed optimization, the prevalent strategy of minimizing the second-largest eigenvalue modulus (SLEM) of the averaging matrix for selecting communication weights, while optimal for existing theoretical performance…

最优化与控制 · 数学 2024-02-09 Sebastien Colla , Julien M. Hendrickx

The Performance Estimation Problem (PEP) approach consists in computing worst-case performance bounds on optimization algorithms by solving an optimization problem: one maximizes an error criterion over all initial conditions allowed and…

最优化与控制 · 数学 2024-02-13 Anne Rubbens , Nizar Bousselmi , Sebastien Colla , Julien M. Hendrickx

In this paper, a novel distributed optimization framework has been proposed. The key idea is to convert optimization problems into optimal control problems where the objective of each agent is to design the current control input minimizing…

最优化与控制 · 数学 2025-04-01 Ziyuan Guo , Yue Sun , Yeming Xu , Liping Zhang , Huanshui Zhang

We develop a methodology to automatically compute worst-case performance bounds for a class of decentralized algorithms that optimize the average of local functions distributed across a network. We extend the recently proposed PEP approach…

最优化与控制 · 数学 2022-03-14 Sebastien Colla , Julien M. Hendrickx

This paper deals with solving distributed optimization problems with equality constraints by a class of uncertain nonlinear heterogeneous dynamic multi-agent systems. It is assumed that each agent with an uncertain dynamic model has limited…

系统与控制 · 电气工程与系统科学 2022-06-28 Mohammad Saeed Sarafraz , Mohammad Saleh Tavazoei

The submodular maximization problem is widely applicable in many engineering problems where objectives exhibit diminishing returns. While this problem is known to be NP-hard for certain subclasses of objective functions, there is a greedy…

分布式、并行与集群计算 · 计算机科学 2020-07-01 Haoyuan Sun , David Grimsman , Jason R Marden

Cooperatively optimizing a vast number of agents that are connected over a large-scale network brings unprecedented scalability challenges. This paper revolves around problems optimizing coupled objective functions under coupled…

最优化与控制 · 数学 2020-10-14 Xiang Huo , Mingxi Liu

This paper investigates the distributed online optimization problem over a multi-agent network subject to local set constraints and coupled inequality constraints, which has a lot of applications in many areas, such as wireless sensor…

最优化与控制 · 数学 2020-07-14 Xiuxian Li , Xinlei Yi , Lihua Xie

Complex scheduling problems require a large amount computation power and innovative solution methods. The objective of this paper is the conception and implementation of a multi-agent system that is applicable in various problem domains.…

多智能体系统 · 计算机科学 2020-04-21 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

We study distributed optimization in a cooperative multi-agent setting, where agents have to agree on the usage of shared resources and can communicate via a time-varying network to this purpose. Each agent has its own decision variables…

最优化与控制 · 数学 2017-04-20 Alessandro Falsone , Kostas Margellos , Simone Garatti , Maria Prandini

We initiate the study of computing (near-)optimal contracts in succinctly representable principal-agent settings. Here optimality means maximizing the principal's expected payoff over all incentive-compatible contracts---known in economics…

数据结构与算法 · 计算机科学 2020-02-28 Paul Duetting , Tim Roughgarden , Inbal Talgam-Cohen

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

最优化与控制 · 数学 2021-08-02 Navid Rezazadeh , Solmaz S. Kia

In data centers, up to dozens of tasks are colocated on a single physical machine. Machines are used more efficiently, but tasks' performance deteriorates, as colocated tasks compete for shared resources. As tasks are heterogeneous, the…

分布式、并行与集群计算 · 计算机科学 2017-08-29 Fanny Pascual , Krzysztof Rzadca

Various distributed optimization methods have been developed for solving problems which have simple local constraint sets and whose objective function is the sum of local cost functions of distributed agents in a network. Motivated by…

系统与控制 · 计算机科学 2016-11-17 Tsung-Hui Chang , Angelia Nedić , Anna Scaglione

To fully leverage the potential of artificial intelligence (AI) systems in a trustworthy manner, it is desirable to couple multiple AI and non-AI systems together seamlessly for constraining and ensuring correctness of the output. This…

计算与语言 · 计算机科学 2025-06-02 Atanu Barai , Stephan Eidenbenz , Nandakishore Santhi

Multi-agent optimization problems with many objective functions have drawn much interest over the past two decades. Many works on the subject minimize the sum of objective functions, which implicitly carries a decision about the problem…

系统与控制 · 电气工程与系统科学 2020-03-05 Maude J. Blondin , Matthew Hale

The SOTA algorithms for addressing QDec-POMDP issues, QDec-FP and QDec-FPS, are unable to effectively tackle problems that involve different types of sensing agents. We propose a new algorithm that addresses this issue by requiring agents…

人工智能 · 计算机科学 2024-09-02 Nitsan Soffair

Distributed decision problems features a group of agents that can only communicate over a peer-to-peer network, without a central memory. In applications such as network control and data ranking, each agent is only affected by a small…

最优化与控制 · 数学 2024-04-24 Mattia Bianchi , Sergio Grammatico
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