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The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

Optimization and Control · Mathematics 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

We provide the first theoretical analysis on the convergence rate of the asynchronous stochastic variance reduced gradient (SVRG) descent algorithm on non-convex optimization. Recent studies have shown that the asynchronous stochastic…

Machine Learning · Computer Science 2016-12-21 Zhouyuan Huo , Heng Huang

With an increasing demand for training powers for deep learning algorithms and the rapid growth of computation resources in data centers, it is desirable to dynamically schedule different distributed deep learning tasks to maximize resource…

Machine Learning · Computer Science 2019-05-03 Haibin Lin , Hang Zhang , Yifei Ma , Tong He , Zhi Zhang , Sheng Zha , Mu Li

Distributed machine learning has been widely studied in the literature to scale up machine learning model training in the presence of an ever-increasing amount of data. We study distributed machine learning from another perspective, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-16 Yaochen Hu , Di Niu , Jianming Yang , Shengping Zhou

Gradient tracking (GT) is an algorithm designed for solving decentralized optimization problems over a network (such as training a machine learning model). A key feature of GT is a tracking mechanism that allows to overcome data…

Optimization and Control · Mathematics 2023-01-05 Yue Liu , Tao Lin , Anastasia Koloskova , Sebastian U. Stich

We study the decentralized optimization problem where a network of $n$ agents seeks to minimize the average of a set of heterogeneous non-convex cost functions distributedly. State-of-the-art decentralized algorithms like Exact…

Optimization and Control · Mathematics 2022-10-14 Edward Duc Hien Nguyen , Sulaiman A. Alghunaim , Kun Yuan , César A. Uribe

We study the problem of stochastic optimization for deep learning in the parallel computing environment under communication constraints. A new algorithm is proposed in this setting where the communication and coordination of work among…

Machine Learning · Computer Science 2015-10-27 Sixin Zhang , Anna Choromanska , Yann LeCun

Decentralized solutions to finite-sum minimization are of significant importance in many signal processing, control, and machine learning applications. In such settings, the data is distributed over a network of arbitrarily-connected nodes…

Machine Learning · Computer Science 2019-11-14 Ran Xin , Soummya Kar , Usman A. Khan

This work studies the distributed empirical risk minimization (ERM) problem under differential privacy (DP) constraint. Standard distributed algorithms achieve DP typically by perturbing all local subgradients with noise, leading to…

Optimization and Control · Mathematics 2023-07-04 Changxin Liu , Karl H. Johansson , Yang Shi

Distributed Optimization is an increasingly important subject area with the rise of multi-agent control and optimization. We consider a decentralized stochastic optimization problem where the agents on a graph aim to asynchronously optimize…

Optimization and Control · Mathematics 2021-10-22 Vyacheslav Kungurtsev , Mahdi Morafah , Tara Javidi , Gesualdo Scutari

Existing decentralized stochastic optimization methods assume the lower-level loss function is strongly convex and the stochastic gradient noise has finite variance. These strong assumptions typically are not satisfied in real-world machine…

Machine Learning · Computer Science 2026-05-26 Xinwen Zhang , Yihan Zhang , Heng Liang , Hongchang Gao

Modern machine learning often requires training with large batch size, distributed data, and massively parallel compute hardware (like mobile and other edge devices or distributed data centers). Communication becomes a major bottleneck in…

Machine Learning · Computer Science 2025-12-12 Ahmed Khaled , Satyen Kale , Arthur Douillard , Chi Jin , Rob Fergus , Manzil Zaheer

Distribution system state estimation (DSSE) is paramount for effective state monitoring and control. However, stochastic outputs of renewables and asynchronous streaming of multi-rate measurements in practical systems largely degrade the…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Ying Zhang , Junbo Zhao , Di Shi , Sungjoo Chung

This paper proposes to maximize the accuracy of a distributed machine learning (ML) model trained on learners connected via the resource-constrained wireless edge. We jointly optimize the number of local/global updates and the task size…

Signal Processing · Electrical Eng. & Systems 2021-02-23 Umair Mohammad , Sameh Sorour , Mohamed Hefeida

Federated learning (FL) for minimax optimization has emerged as a powerful paradigm for training models across distributed nodes/clients while preserving data privacy and model robustness on data heterogeneity. In this work, we delve into…

Machine Learning · Computer Science 2024-05-09 Chris Junchi Li

The implementation of a vast majority of machine learning (ML) algorithms boils down to solving a numerical optimization problem. In this context, Stochastic Gradient Descent (SGD) methods have long proven to provide good results, both in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-06 Janis Keuper , Franz-Josef Pfreundt

We consider decentralized machine learning over a network where the training data is distributed across $n$ agents, each of which can compute stochastic model updates on their local data. The agent's common goal is to find a model that…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-09 Anastasia Koloskova , Tao Lin , Sebastian U. Stich

Decentralized optimization, particularly the class of decentralized composite convex optimization (DCCO) problems, has found many applications. Due to ubiquitous communication congestion and random dropouts in practice, it is highly…

Optimization and Control · Mathematics 2022-10-12 Changxin Liu , Zirui Zhou , Jian Pei , Yong Zhang , Yang Shi

Federated learning enables collaborative model training across distributed clients while preserving data privacy. However, in practical deployments, device heterogeneity, non-independent, and identically distributed (Non-IID) data often…

Artificial Intelligence · Computer Science 2026-02-20 Jin Wang , Hui Ma , Fei Xing , Ming Yan

Minimax problems have recently attracted a lot of research interests. A few efforts have been made to solve decentralized nonconvex strongly-concave (NCSC) minimax-structured optimization; however, all of them focus on smooth problems with…

Optimization and Control · Mathematics 2023-04-06 Yangyang Xu
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