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We study distributed optimization problems over multi-agent networks, including consensus and network flow problems. Existing distributed methods neglect the heterogeneity among agents' computational capabilities, limiting their…

最优化与控制 · 数学 2023-08-03 Xiaochun Niu , Ermin Wei

We consider a multi-agent consensus optimization problem over a server-client (federated) network, where all clients are connected to a central server. Current distributed algorithms fail to capture the heterogeneity in clients' local…

最优化与控制 · 数学 2023-08-02 Xiaochun Niu , Ermin Wei

Heterogeneous networks comprise agents with varying capabilities in terms of computation, storage, and communication. In such settings, it is crucial to factor in the operating characteristics in allowing agents to choose appropriate…

最优化与控制 · 数学 2022-09-07 Yichuan Li , Petros Voulgaris , Nikolaos M. Freris

We consider the setting of agents cooperatively minimizing the sum of local objectives plus a regularizer on a graph. This paper proposes a primal-dual method in consideration of three distinctive attributes of real-life multi-agent…

最优化与控制 · 数学 2023-12-11 Ziyi Yu , Nikolaos M. Freris

In a multi-agent network, we consider the problem of minimizing an objective function that is expressed as the sum of private convex and smooth functions, and a (possibly) non-differentiable convex regularizer. We propose a novel…

最优化与控制 · 数学 2021-09-30 Yichuan Li , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

This paper considers the problem of distributed multi-agent learning, where the global aim is to minimize a sum of local objective (empirical loss) functions through local optimization and information exchange between neighbouring nodes. We…

最优化与控制 · 数学 2023-07-20 Alessio Maritan , Ganesh Sharma , Luca Schenato , Subhrakanti Dey

We present a novel communication-efficient Newton-type algorithm for finite-sum optimization over a distributed computing environment. Our method, named DINO, overcomes both theoretical and practical shortcomings of similar existing…

最优化与控制 · 数学 2020-06-09 Rixon Crane , Fred Roosta

This paper proposes a novel family of primal-dual-based distributed algorithms for smooth, convex, multi-agent optimization over networks that uses only gradient information and gossip communications. The algorithms can also employ…

最优化与控制 · 数学 2020-03-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

In this paper, we propose a distributed Newton method for consensus optimization. Our approach outperforms state-of-the-art methods, including ADMM. The key idea is to exploit the sparsity of the dual Hessian and recast the computation of…

分布式、并行与集群计算 · 计算机科学 2016-06-22 Rasul Tutunov , Haitham Bou Ammar , Ali Jadbabaie

We study the problem of minimizing a sum of local objective convex functions over a network of processors/agents. This problem naturally calls for distributed optimization algorithms, in which the agents cooperatively solve the problem…

最优化与控制 · 数学 2019-04-01 Fatemeh Mansoori , Ermin Wei

This paper proposes a novel distributed semismooth Newton based augmented Lagrangian method for solving a class of optimization problems over networks, where the global objective is defined as the sum of locally held cost functions, and…

最优化与控制 · 数学 2026-03-02 Qihao Ma , Chengjing Wang , Peipei Tang , Dunbiao Niu , Aimin Xu

Recent work by Zymnis et al. proposes an efficient primal-dual interior-point method, using a truncated Newton method, for solving the network utility maximization (NUM) problem. This method has shown superior performance relative to the…

信息论 · 计算机科学 2010-03-23 Danny Bickson , Yoav Tock , Argyris Zymnis , Stephen Boyd , Danny Dolev

We consider two formulations for distributed optimization wherein $N$ agents in a generic connected network solve a problem of common interest: distributed personalized optimization and consensus optimization. A new method termed DINAS…

最优化与控制 · 数学 2025-01-15 Dusan Jakovetic , Natasa Krejic , Greta Malaspina

In this paper, we study the problem of minimizing a sum of convex objective functions, which are locally available to agents in a network. Distributed optimization algorithms make it possible for the agents to cooperatively solve the…

最优化与控制 · 数学 2020-03-31 Fatemeh Mansoori , Ermin Wei

We address the generalized Nash equilibrium seeking problem in a partial-decision information scenario, where each agent can only exchange information with some neighbors, although its cost function possibly depends on the strategies of all…

最优化与控制 · 数学 2021-12-14 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

We investigate the distributed multi-agent sharing optimization problem in a directed graph, with a composite objective function consisting of a smooth function plus a convex (possibly non-smooth) function shared by all agents. While…

最优化与控制 · 数学 2024-06-21 Sajad Zandi , Mehdi Korki

For optimization of a sum of functions in a distributed computing environment, we present a novel communication efficient Newton-type algorithm that enjoys a variety of advantages over similar existing methods. Similar to Newton-MR, our…

最优化与控制 · 数学 2019-12-03 Rixon Crane , Fred Roosta

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

最优化与控制 · 数学 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

We present a framework for asynchronously solving convex optimization problems over networks of agents which are augmented by the presence of a centralized cloud computer. This framework uses a Tikhonov-regularized primal-dual approach in…

最优化与控制 · 数学 2016-10-14 Matthew T. Hale , Angelia Nedich , Magnus Egerstedt

We consider distributed optimization problems where networked nodes cooperatively minimize the sum of their locally known convex costs. A popular class of methods to solve these problems are the distributed gradient methods, which are…

信息论 · 计算机科学 2017-02-21 Dragana Bajovic , Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic
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