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Classical mathematical models of information sharing and updating in multi-agent networks use linear operators. In the paradigmatic DeGroot model, agents update their states with linear combinations of their neighbors' current states. In…

系统与控制 · 电气工程与系统科学 2022-04-26 Aditya Bhaskar , Shriya Rangarajan , Vikram Shree , Mark Campbell , Francesca Parise

We study decentralized optimization where multiple agents minimize the average of their (strongly) convex, smooth losses over a communication graph. Convergence of the existing decentralized methods generally hinges on an apriori, proper…

最优化与控制 · 数学 2025-08-01 Ilya Kuruzov , Xiaokai Chen , Gesualdo Scutari , Alexander Gasnikov

Decentralized optimization, particularly the class of decentralized composite convex optimization (DCCO) problems, has found many applications. Due to ubiquitous communication congestion and random dropouts in practice, it is highly…

最优化与控制 · 数学 2022-10-12 Changxin Liu , Zirui Zhou , Jian Pei , Yong Zhang , Yang Shi

We consider the problem of decentralized optimization where a collection of agents, each having access to a local cost function, communicate over a time-varying directed network and aim to minimize the sum of those functions. In practice,…

系统与控制 · 电气工程与系统科学 2021-09-01 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

Many large-scale constrained optimization problems can be formulated as bilevel distributed optimization tasks over undirected networks, where agents collaborate to minimize a global cost function while adhering to constraints, relying only…

最优化与控制 · 数学 2025-11-25 Ajay Tak , Mayank Baranwal

This paper addresses the problem of approximate MAP-MRF inference in general graphical models. Following [36], we consider a family of linear programming relaxations of the problem where each relaxation is specified by a set of nested pairs…

计算机视觉与模式识别 · 计算机科学 2015-03-20 Vladimir Kolmogorov , Thomas Schoenemann

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

多智能体系统 · 计算机科学 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

This paper introduces a novel method for eigenvalue computation using a distributed cooperative neural network framework. Unlike traditional techniques that face scalability challenges in large systems, our decentralized algorithm enables…

机器学习 · 计算机科学 2024-09-20 Ronald Katende

We consider a distributed estimation method in a setting with heterogeneous streams of correlated data distributed across nodes in a network. In the considered approach, linear models are estimated locally (i.e., with only local data)…

机器学习 · 计算机科学 2021-02-11 Lingzhou Hong , Alfredo Garcia , Ceyhun Eksin

We present a novel local improvement scheme for the perfectly balanced graph partitioning problem. This scheme encodes local searches that are not restricted to a balance constraint into a model allowing us to find combinations of these…

数据结构与算法 · 计算机科学 2012-10-02 Peter Sanders , Christian Schulz

This paper deals with linear algebraic equations where the global coefficient matrix and constant vector are given respectively, by the summation of the coefficient matrices and constant vectors of the individual agents. Our approach is…

最优化与控制 · 数学 2021-05-28 Priyank Srivastava , Jorge Cortes

This paper proposes a novel analysis for the Scaffold algorithm, a popular method for dealing with data heterogeneity in federated learning. While its convergence in deterministic settings--where local control variates mitigate client…

机器学习 · 统计学 2025-03-11 Paul Mangold , Alain Durmus , Aymeric Dieuleveut , Eric Moulines

We study a distributed framework for stochastic optimization which is inspired by models of collective motion found in nature (e.g., swarming) with mild communication requirements. Specifically, we analyze a scheme in which each one of $N >…

最优化与控制 · 数学 2018-08-08 Shi Pu , Alfredo Garcia

Distributed formation maneuver control refers to the problem of maneuvering a group of agents to change their formation shape by adjusting the motions of partial agents, where the controller of each agent only requires local information…

系统与控制 · 电气工程与系统科学 2026-05-21 Tao He , Gangshan Jing

We introduce a general class of algorithms and supply a number of general results useful for analysing these algorithms when applied to regular graphs of large girth. As a result, we can transfer a number of results proved for random…

组合数学 · 数学 2017-03-06 Carlos Hoppen , Nicholas Wormald

Consider $n$ agents connected over a network collaborating to minimize the average of their local cost functions combined with a common nonsmooth function. This paper introduces a unified algorithmic framework for solving such a problem…

最优化与控制 · 数学 2026-05-05 Kun Huang , Shi Pu , Angelia Nedić

Decentralized optimization has become a fundamental tool for large-scale learning systems; however, most existing methods rely on the classical Lipschitz smoothness assumption, which is often violated in problems with rapidly varying…

最优化与控制 · 数学 2026-01-08 Yanan Bo , Yongqiang Wang

This paper proposes a \emph{fully asynchronous} scheme for the policy evaluation problem of distributed reinforcement learning (DisRL) over directed peer-to-peer networks. Without waiting for any other node of the network, each node can…

机器学习 · 计算机科学 2021-01-25 Xingyu Sha , Jiaqi Zhang , Keyou You , Kaiqing Zhang , Tamer Başar

Diffusion maps is a manifold learning algorithm widely used for dimensionality reduction. Using a sample from a distribution, it approximates the eigenvalues and eigenfunctions of associated Laplace-Beltrami operators. Theoretical bounds on…

统计理论 · 数学 2021-04-09 Caroline L. Wormell , Sebastian Reich

In this era of large-scale data, distributed systems built on top of clusters of commodity hardware provide cheap and reliable storage and scalable processing of massive data. Here, we review recent work on developing and implementing…

分布式、并行与集群计算 · 计算机科学 2015-07-28 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney