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We consider the problem of solving a large-scale system of linear equations in a distributed or federated manner by a taskmaster and a set of machines, each possessing a subset of the equations. We provide a comprehensive comparison of two…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Boris Velasevic , Rohit Parasnis , Christopher G. Brinton , Navid Azizan

We propose a divide-and-conquer (DAC) algorithm for constrained convex optimization over networks, where the global objective is the sum of local objectives attached to individual agents. The algorithm is fully distributed: each iteration…

Optimization and Control · Mathematics 2025-10-03 Nazar Emirov , Guohui Song , Qiyu Sun

A new technique of global optimization and its applications in particular to neural networks are presented. The algorithm is also compared to other global optimization algorithms such as Gradient descent (GD), Monte Carlo (MC), Genetic…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-18 Homayoun Valafar , Okan K. Ersoy , Faramarz Valafar

Distributed optimization consists of multiple computation nodes working together to minimize a common objective function through local computation iterations and network-constrained communication steps. In the context of robotics,…

Robotics · Computer Science 2021-03-25 Trevor Halsted , Ola Shorinwa , Javier Yu , Mac Schwager

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.…

Optimization and Control · Mathematics 2025-04-28 Dmitry Bylinkin , Aleksandr Beznosikov

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

Optimization and Control · Mathematics 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

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

We propose a GPU-based distributed optimization algorithm, aimed at controlling optimal power flow in multi-phase and unbalanced distribution systems. Typically, conventional distributed optimization algorithms employed in such scenarios…

Optimization and Control · Mathematics 2023-10-17 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

In this paper, we study distributed algorithms for large-scale AUC maximization with a deep neural network as a predictive model. Although distributed learning techniques have been investigated extensively in deep learning, they are not…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-12 Zhishuai Guo , Mingrui Liu , Zhuoning Yuan , Li Shen , Wei Liu , Tianbao Yang

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…

Optimization and Control · Mathematics 2020-06-09 Rixon Crane , Fred Roosta

Cooperative inference in Mobile Edge Computing (MEC), achieved by deploying partitioned Deep Neural Network (DNN) models between resource-constrained user equipments (UEs) and edge servers (ESs), has emerged as a promising paradigm.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-20 Xinrui Ye , Yanzan Sun , Dingzhu Wen , Guanjin Pan , Shunqing Zhang

Since Estimation of Distribution Algorithms (EDA) were proposed, many attempts have been made to improve EDAs' performance in the context of global optimization. So far, the studies or applications of multivariate probabilistic model based…

Neural and Evolutionary Computing · Computer Science 2011-11-10 Weishan Dong , Tianshi Chen , Peter Tino , Xin Yao

The utility of domain-specific knowledge for modeling, simulation, and optimization has been demonstrated for various research problem domains, including power systems. The concept of Equivalent Circuit Programming was previously developed…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Marko Jereminov , Larry Pileggi

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…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Tor Anderson

Divide-and-conquer-based (DC-based) evolutionary algorithms (EAs) have achieved notable success in dealing with large-scale optimization problems (LSOPs). However, the appealing performance of this type of algorithms generally requires a…

Neural and Evolutionary Computing · Computer Science 2020-04-07 Zhigang Ren , Yongsheng Liang , Muyi Wang , Yang Yang , An Chen

In dual decomposition, the dual to an optimization problem with a specific structure is solved in distributed fashion using (sub)gradient and recently also fast gradient methods. The traditional dual decomposition suffers from two main…

Optimization and Control · Mathematics 2014-04-08 Pontus Giselsson

Many machine learning algorithms minimize a regularized risk, and stochastic optimization is widely used for this task. When working with massive data, it is desirable to perform stochastic optimization in parallel. Unfortunately, many…

Machine Learning · Statistics 2023-11-27 Shin Matsushima , Hyokun Yun , Xinhua Zhang , S. V. N. Vishwanathan

This paper investigates the energy efficiency (EE) optimization in downlink multi-cell massive multiple-input multiple-output (MIMO). In our research, the statistical channel state information (CSI) is exploited to reduce the signaling…

Information Theory · Computer Science 2021-09-06 Li You , Yufei Huang , Di Zhang , Zheng Chang , Wenjin Wang , Xiqi Gao

Distributed optimization advances centralized machine learning methods by enabling parallel and decentralized learning processes over a network of computing nodes. This work provides an accelerated consensus-based distributed algorithm for…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Mohammadreza Doostmohammadian , Hamid R. Rabiee

Distributed computing is a standard way to scale up machine learning and data science algorithms to process large amounts of data. In such settings, avoiding communication amongst machines is paramount for achieving high performance. Rather…

Machine Learning · Statistics 2021-05-04 Vasileios Charisopoulos , Austin R. Benson , Anil Damle