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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…

机器学习 · 计算机科学 2018-09-12 Shusen Wang , Farbod Roosta-Khorasani , Peng Xu , Michael W. Mahoney

We study distributed algorithms for solving global optimization problems in which the objective function is the sum of local objective functions of agents and the constraint set is given by the intersection of local constraint sets of…

最优化与控制 · 数学 2015-03-14 Ilan Lobel , Asuman Ozdaglar , Diego Feijer

Within the framework of the augmented Lagrangian (AL), we propose a novel distributed optimization method, termed Distributed Augmented Lagrangian Decomposition (DALD), and provide a rigorous convergence proof for its standard version. To…

最优化与控制 · 数学 2025-10-07 Wenyou Guo , Ting Qu , Hainan Huang , Yafeng Wei

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

最优化与控制 · 数学 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

We propose a communication and computation efficient second-order method for distributed optimization. For each iteration, our method only requires $\mathcal{O}(d)$ communication complexity, where $d$ is the problem dimension. We also…

最优化与控制 · 数学 2023-05-30 Chengchang Liu , Lesi Chen , Luo Luo , John C. S. Lui

In distributed learning, the goal is to perform a learning task over data distributed across multiple nodes with minimal (expensive) communication. Prior work (Daume III et al., 2012) proposes a general model that bounds the communication…

机器学习 · 计算机科学 2012-04-17 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian

Motivated by machine learning applications in networks of sensors, internet-of-things (IoT) devices, and autonomous agents, we propose techniques for distributed stochastic convex learning from high-rate data streams. The setup involves a…

机器学习 · 统计学 2019-06-11 Matthew Nokleby , Waheed U. Bajwa

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

机器学习 · 计算机科学 2017-07-06 Jakub Konečný

Scalable decentralized optimization in large-scale systems hinges on efficient communication. A common way to reduce communication overhead is to perform multiple local updates between two communication rounds, as in federated learning.…

最优化与控制 · 数学 2025-11-10 Jie Liu , Zuang Wang , Yongqiang Wang

Recent advances in distributed optimization and learning have shown that communication compression is one of the most effective means of reducing communication. While there have been many results on convergence rates under communication…

机器学习 · 计算机科学 2022-10-12 Xinmeng Huang , Yiming Chen , Wotao Yin , Kun Yuan

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

系统与控制 · 电气工程与系统科学 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

This paper considers distributed optimization (DO) where multiple agents cooperate to minimize a global objective function, expressed as a sum of local objectives, subject to some constraints. In DO, each agent iteratively solves a local…

最优化与控制 · 数学 2023-03-01 Minseok Ryu , Kibaek Kim

Optimization problems on the Stiefel manifold, ranging from principal component analysis to enhancing neural network robustness, are ubiquitous in machine learning. The Landing algorithm avoids computationally expensive retraction…

最优化与控制 · 数学 2025-08-12 Yilong Song , Peijin Li , Bin Gao , Kun Yuan

Large scale distributed optimization has become the default tool for the training of supervised machine learning models with a large number of parameters and training data. Recent advancements in the field provide several mechanisms for…

机器学习 · 计算机科学 2021-02-16 Mher Safaryan , Filip Hanzely , Peter Richtárik

In Part I of this paper, we proposed and analyzed a novel algorithmic framework for the minimization of a nonconvex (smooth) objective function, subject to nonconvex constraints, based on inner convex approximations. This Part II is devoted…

As artificial intelligence (AI) applications continue to expand in next-generation networks, there is a growing need for deep neural network (DNN) models. Although DNN models deployed at the edge are promising for providing AI as a service…

网络与互联网体系结构 · 计算机科学 2024-08-22 Alireza Maleki , Hamed Shah-Mansouri , Babak H. Khalaj

This paper analyzes DONE, an online optimization algorithm that iteratively minimizes an unknown function based on costly and noisy measurements. The algorithm maintains a surrogate of the unknown function in the form of a random Fourier…

机器学习 · 计算机科学 2016-09-30 Laurens Bliek , Hans R. G. W. Verstraete , Michel Verhaegen , Sander Wahls

The growing demands of remote detection and increasing amount of training data make distributed machine learning under communication constraints a critical issue. This work provides a communication-efficient quantum algorithm that tackles…

量子物理 · 物理学 2023-04-26 Hao Tang , Boning Li , Guoqing Wang , Haowei Xu , Changhao Li , Ariel Barr , Paola Cappellaro , Ju Li

The paper considers a distributed algorithm for global minimization of a nonconvex function. The algorithm is a first-order consensus + innovations type algorithm that incorporates decaying additive Gaussian noise for annealing, converging…

最优化与控制 · 数学 2019-07-23 Brian Swenson , Soummya Kar , H. Vincent Poor , José M. F. Moura

Modern machine learning tasks often involve massive datasets and models, necessitating distributed optimization algorithms with reduced communication overhead. Communication compression, where clients transmit compressed updates to a…

最优化与控制 · 数学 2025-04-01 Yuan Gao , Anton Rodomanov , Jeremy Rack , Sebastian U. Stich