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In this paper, the distributed strongly convex optimization problem is studied with spatio-temporal compressed communication and equality constraints. For the case where each agent holds an distributed local equality constraint, a…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Zihao Ren , Lei Wang , Zhengguang Wu , Guodong Shi

In this paper, we consider distributed algorithms for solving the empirical risk minimization problem under the master/worker communication model. We develop a distributed asynchronous quasi-Newton algorithm that can achieve superlinear…

Optimization and Control · Mathematics 2019-06-11 Saeed Soori , Konstantin Mischenko , Aryan Mokhtari , Maryam Mehri Dehnavi , Mert Gurbuzbalaban

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

We consider distributed convex optimization problems originated from sample average approximation of stochastic optimization, or empirical risk minimization in machine learning. We assume that each machine in the distributed computing…

Optimization and Control · Mathematics 2015-01-05 Yuchen Zhang , Lin Xiao

This paper aims at distributed multi-agent convex optimization where the communications network among the agents are presented by a random sequence of possibly state-dependent weighted graphs. This is the first work to consider both random…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Seyyed Shaho Alaviani , Atul Kelkar

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-22 Rasul Tutunov , Haitham Bou Ammar , Ali Jadbabaie

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…

Information Theory · Computer Science 2017-02-21 Dragana Bajovic , Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic

This paper considers the distributed optimization problem where each node of a peer-to-peer network minimizes a finite sum of objective functions by communicating with its neighboring nodes. In sharp contrast to the existing literature…

Optimization and Control · Mathematics 2022-01-17 Jiaqi Zhang , Keyou You , Tamer Başar

Compression techniques are essential in distributed optimization and learning algorithms with high-dimensional model parameters, particularly in scenarios with tight communication constraints such as limited bandwidth. This article presents…

Optimization and Control · Mathematics 2025-10-27 Souvik Das , Subhrakanti Dey

We propose a distributed cubic regularization of the Newton method for solving (constrained) empirical risk minimization problems over a network of agents, modeled as undirected graph. The algorithm employs an inexact, preconditioned Newton…

Optimization and Control · Mathematics 2021-06-21 Amir Daneshmand , Gesualdo Scutari , Pavel Dvurechensky , Alexander Gasnikov

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

Optimization and Control · Mathematics 2020-02-11 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

This doctoral thesis concerns novel distributed algorithms for weight balancing over directed (communication) topologies. A directed topology (digraph) with nonnegative (or positive) weights assigned on each edge is weight-balanced if, for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-12 Apostolos I. Rikos

We propose a continuous-time second-order optimization algorithm for solving unconstrained convex optimization problems with bounded Hessian. We show that this alternative algorithm has a comparable convergence rate to that of the…

Optimization and Control · Mathematics 2021-05-21 Hossein Moradian , Solmaz S. Kia

In this paper, a class of Decentralized Approximate Newton (DEAN) methods for addressing convex optimization on a networked system are developed, where nodes in the networked system seek for a consensus that minimizes the sum of their…

Optimization and Control · Mathematics 2020-12-01 Hejie Wei , Zhihai Qu , Xuyang Wu , Hao Wang , Jie Lu

We present a distributed quasi-Newton (DQN) method, which enables a group of agents to compute an optimal solution of a separable multi-agent optimization problem locally using an approximation of the curvature of the aggregate objective…

Optimization and Control · Mathematics 2024-09-30 Ola Shorinwa , Mac Schwager

The distributed optimization problem is set up in a collection of nodes interconnected via a communication network. The goal is to find the minimizer of a global objective function formed by the addition of partial functions locally known…

Optimization and Control · Mathematics 2022-06-07 Damián Marelli , Yong Xu , Minyue Fu , Zenghong Huang

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

Optimization and Control · Mathematics 2019-08-02 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

We consider distributed optimization as motivated by machine learning in a multi-agent system: each agent holds local data and the goal is to minimize an aggregate loss function over a common model, via an interplay of local training and…

Optimization and Control · Mathematics 2025-04-08 Dingran Yi , Fanhao Zeng , Nikolaos M. Freris

In this paper, we propose a distributed second- order method for reinforcement learning. Our approach is the fastest in literature so-far as it outperforms state-of-the-art methods, including ADMM, by significant margins. We achieve this by…

Optimization and Control · Mathematics 2016-08-08 Rasul Tutunov , Haitham Bou-Ammar , Ali Jadbabaie

For distributed computing environment, we consider the empirical risk minimization problem and propose a distributed and communication-efficient Newton-type optimization method. At every iteration, each worker locally finds an Approximate…

Machine Learning · Computer Science 2018-09-12 Shusen Wang , Farbod Roosta-Khorasani , Peng Xu , Michael W. Mahoney