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Parallel implementations of stochastic gradient descent (SGD) have received significant research attention, thanks to excellent scalability properties of this algorithm, and to its efficiency in the context of training deep neural networks.…

Machine Learning · Computer Science 2017-12-07 Dan Alistarh , Demjan Grubic , Jerry Li , Ryota Tomioka , Milan Vojnovic

Modern deep neural networks often require distributed training with many workers due to their large size. As the number of workers increases, communication overheads become the main bottleneck in data-parallel minibatch stochastic gradient…

Machine Learning · Statistics 2024-11-07 Tim Tsz-Kit Lau , Weijian Li , Chenwei Xu , Han Liu , Mladen Kolar

This paper investigates distributed resource allocation optimization over directed graphs with limited communication bandwidth. We develop a novel distributed algorithm that integrates the centralized Proximal Jacobian Alternating Direction…

Optimization and Control · Mathematics 2026-04-17 Xu Du , Boyu Han , Ivano Notarnicola , Karl H. Johansson , Apostolos I. Rikos

In this paper, a distributed convex optimization algorithm, termed \emph{distributed coordinate dual averaging} (DCDA) algorithm, is proposed. The DCDA algorithm addresses the scenario of a large distributed optimization problem with…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-31 Milind Rao , Stefano Rini , Andrea Goldsmith

Due to the explosion in the size of the training datasets, distributed learning has received growing interest in recent years. One of the major bottlenecks is the large communication cost between the central server and the local workers.…

Machine Learning · Computer Science 2022-02-25 Yujia Wang , Lu Lin , Jinghui Chen

In this paper, we consider solving the distributed optimization problem over a multi-agent network under the communication restricted setting. We study a compressed decentralized stochastic gradient method, termed ``compressed exact…

Optimization and Control · Mathematics 2024-10-01 Kun Huang , Shi Pu

This paper studies the network optimization problem about which a group of agents cooperates to minimize a global function under practical constraints of finite bandwidth communication. Particularly, we propose an adaptive encoding-decoding…

Optimization and Control · Mathematics 2021-11-17 Ziqin Chen , Shu Liang , Li Li , Shuming Cheng

This paper considers online distributed convex constrained optimization over a time-varying multi-agent network. Agents in this network cooperate to minimize the global objective function through information exchange with their neighbors…

Optimization and Control · Mathematics 2023-05-09 Wentao Zhang , Yang Shi , Baoyong Zhang , Kaihong Lu , Deming Yuan

Decentralized strategies are of interest for learning from large-scale data over networks. This paper studies learning over a network of geographically distributed nodes/agents subject to quantization. Each node possesses a private local…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Mohammadreza Doostmohammadian , Muhammad I. Qureshi , Mohammad Hossein Khalesi , Hamid R. Rabiee , Usman A. Khan

Asynchronous computation and gradient compression have emerged as two key techniques for achieving scalability in distributed optimization for large-scale machine learning. This paper presents a unified analysis framework for distributed…

Optimization and Control · Mathematics 2018-11-30 Sarit Khirirat , Hamid Reza Feyzmahdavian , Mikael Johansson

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

Optimization and Control · Mathematics 2018-06-20 Van Sy Mai , Eyad H. Abed

We consider distributed optimization in random networks where N nodes cooperatively minimize the sum \sum_{i=1}^N f_i(x) of their individual convex costs. Existing literature proposes distributed gradient-like methods that are…

Information Theory · Computer Science 2023-07-19 Dusan Jakovetic , Joao Xavier , Jose M. F. Moura

In modern large-scale systems with sensor networks and IoT devices it is essential to collaboratively solve complex problems while utilizing network resources efficiently. In our paper we present three distributed optimization algorithms…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Communication has been seen as a significant bottleneck in industrial applications over large-scale networks. To alleviate the communication burden, sign-based optimization algorithms have gained popularity recently in both industrial and…

Optimization and Control · Mathematics 2021-09-07 Xiuxian Li , Kuo-Yi Lin , Li Li , Yiguang Hong , Jie Chen

Distributed stochastic gradient descent (SGD) with gradient compression has become a popular communication-efficient solution for accelerating distributed learning. One commonly used method for gradient compression is Top-K sparsification,…

Machine Learning · Computer Science 2023-09-12 Mengzhe Ruan , Guangfeng Yan , Yuanzhang Xiao , Linqi Song , Weitao Xu

This paper considers a distributed stochastic non-convex optimization problem, where the nodes in a network cooperatively minimize a sum of $L$-smooth local cost functions with sparse gradients. By adaptively adjusting the stepsizes…

Optimization and Control · Mathematics 2024-04-01 Dongyu Han , Kun Liu , Yeming Lin , Yuanqing Xia

In this article, we propose a new approach, optimize then agree for minimizing a sum $ f = \sum_{i=1}^n f_i(x)$ of convex objective functions over a directed graph. The optimize then agree approach decouples the optimization step and the…

Systems and Control · Electrical Eng. & Systems 2021-05-27 Vivek Khatana , Govind Saraswat , Sourav Patel , Murti V. Salapaka

In this work, we consider the problem of a network of agents collectively minimizing a sum of convex functions. The agents in our setting can only access their local objective functions and exchange information with their immediate…

Optimization and Control · Mathematics 2019-10-01 Charikleia Iakovidou , Ermin Wei

We consider the problem of decentralized optimization over time-varying directed networks. The network nodes can access only their local objectives, and aim to collaboratively minimize a global function by exchanging messages with their…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

In this paper, we study a variant of the quadratic penalty method for linearly constrained convex problems, which has already been widely used but actually lacks theoretical justification. Namely, the penalty parameter steadily increases…

Numerical Analysis · Mathematics 2017-11-30 Huan Li , Cong Fang , Zhouchen Lin