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We consider a convex unconstrained optimization problem that arises in a network of agents whose goal is to cooperatively optimize the sum of the individual agent objective functions through local computations and communications. For this…

最优化与控制 · 数学 2008-03-11 Angelia Nedić , Alex Olshevsky , Asuman Ozdaglar , John N. Tsitsiklis

This thesis explores a particular class of distributed optimization methods for various separable resource allocation problems, which are of high interest in a wide array of multi-agent settings. A distinctly motivating application for this…

系统与控制 · 电气工程与系统科学 2021-03-26 Tor Anderson

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

最优化与控制 · 数学 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

In recent years, as data and problem sizes have increased, distributed learning has become an essential tool for training high-performance models. However, the communication bottleneck, especially for high-dimensional data, is a challenge.…

最优化与控制 · 数学 2025-04-28 Dmitry Bylinkin , Aleksandr Beznosikov

Distributed linear algebraic equation over networks, where nodes hold a part of problem data and cooperatively solve the equation via node-to-node communications, is a basic distributed computation task receiving an increasing research…

最优化与控制 · 数学 2021-04-28 Peng Yi , Jinlong Lei , Yiguang Hong , Jie Chen , Guodong Shi

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

A q-Gauss-Newton algorithm is an iterative procedure that solves nonlinear unconstrained optimization problems based on minimization of the sum squared errors of the objective function residuals. Main advantage of the algorithm is that it…

最优化与控制 · 数学 2021-05-28 Danijela Protic , Miomir Stankovic

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

We present a quasi-Newton method for unconstrained stochastic optimization. Most existing literature on this topic assumes a setting of stochastic optimization in which a finite sum of component functions is a reasonable approximation of an…

最优化与控制 · 数学 2024-09-04 Matt Menickelly , Stefan M. Wild , Miaolan Xie

Distributed optimization finds applications in large-scale machine learning, data processing and classification over multi-agent networks. In real-world scenarios, the communication network of agents may encounter latency that may affect…

系统与控制 · 电气工程与系统科学 2025-10-06 Mohammadreza Doostmohammadian , Narahari Kasagatta Ramesh , Alireza Aghasi

In modern large-scale networked systems, rapidly solving optimization problems while utilizing communication resources efficiently is critical for addressing complex tasks. In this paper, we consider an unconstrained distributed…

系统与控制 · 电气工程与系统科学 2026-04-21 Ruochen Wu , Xu Du , Karl H. Johansson , Apostolos I. Rikos

In this paper, we present a scalable distributed implementation of the Sampled Limited-memory Symmetric Rank-1 (S-LSR1) algorithm. First, we show that a naive distributed implementation of S-LSR1 requires multiple rounds of expensive…

最优化与控制 · 数学 2020-05-15 Majid Jahani , Mohammadreza Nazari , Sergey Rusakov , Albert S. Berahas , Martin Takáč

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

Motivated by applications in optimization and machine learning, we consider stochastic quasi-Newton (SQN) methods for solving stochastic optimization problems. In the literature, the convergence analysis of these algorithms relies on strong…

最优化与控制 · 数学 2016-03-16 Farzad Yousefian , Angelia Nedić , Uday V. Shanbha

In this paper a new distributed asynchronous algorithm is proposed for time synchronization in networks with random communication delays, measurement noise and communication dropouts. Three different types of the drift correction algorithm…

系统与控制 · 计算机科学 2018-02-05 Milos S. Stankovic , Srdjan S. Stankovic , Karl Henrik Johansson

We propose and analyze a stochastic Newton algorithm for homogeneous distributed stochastic convex optimization, where each machine can calculate stochastic gradients of the same population objective, as well as stochastic Hessian-vector…

最优化与控制 · 数学 2021-10-08 Brian Bullins , Kumar Kshitij Patel , Ohad Shamir , Nathan Srebro , Blake Woodworth

We come up with a class of distributed quantized averaging algorithms on asynchronous communication networks with fixed, switching and random topologies. The implementation of these algorithms is subject to the realistic constraint that the…

最优化与控制 · 数学 2010-02-12 Minghui Zhu , Sonia Martinez

Motivated by a variety of applications in control engineering and information sciences, we study network resource allocation problems where the goal is to optimally allocate a fixed amount of resource over a network of nodes. In these…

最优化与控制 · 数学 2017-08-25 Thinh T. Doan , Carolyn L. Beck

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

最优化与控制 · 数学 2018-09-05 Gesualdo Scutari , Ying Sun

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…

最优化与控制 · 数学 2022-10-10 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson