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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…

最优化与控制 · 数学 2021-09-07 Xiuxian Li , Kuo-Yi Lin , Li Li , Yiguang Hong , Jie Chen

We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

最优化与控制 · 数学 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

We consider a decentralized learning problem, where a set of computing nodes aim at solving a non-convex optimization problem collaboratively. It is well-known that decentralized optimization schemes face two major system bottlenecks:…

机器学习 · 计算机科学 2019-11-04 Amirhossein Reisizadeh , Hossein Taheri , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

Mini-batch stochastic gradient descent (SGD) is state of the art in large scale distributed training. The scheme can reach a linear speedup with respect to the number of workers, but this is rarely seen in practice as the scheme often…

最优化与控制 · 数学 2019-05-06 Sebastian U. Stich

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…

最优化与控制 · 数学 2015-01-05 Yuchen Zhang , Lin Xiao

We study COMP-AMS, a distributed optimization framework based on gradient averaging and adaptive AMSGrad algorithm. Gradient compression with error feedback is applied to reduce the communication cost in the gradient transmission process.…

机器学习 · 统计学 2022-05-12 Xiaoyun Li , Belhal Karimi , Ping Li

In this paper, we study the problem of distributed multi-agent optimization over a network, where each agent possesses a local cost function that is smooth and strongly convex. The global objective is to find a common solution that…

最优化与控制 · 数学 2020-03-11 Shi Pu , Angelia Nedić

In this paper, we propose a communication-efficiently decentralized machine learning framework that solves a consensus optimization problem defined over a network of inter-connected workers. The proposed algorithm, Censored and Quantized…

机器学习 · 计算机科学 2021-01-13 Chaouki Ben Issaid , Anis Elgabli , Jihong Park , Mehdi Bennis , Mérouane Debbah

Training Graph Convolutional Networks (GCNs) is expensive as it needs to aggregate data recursively from neighboring nodes. To reduce the computation overhead, previous works have proposed various neighbor sampling methods that estimate the…

机器学习 · 计算机科学 2021-01-20 Peng Jiang , Masuma Akter Rumi

A stochastic gradient method for synchronous distributed optimization is studied. For reducing communication cost, we particularly focus on utilization of compression of communicated gradients. Several work has shown that {\it{sparsified}}…

最优化与控制 · 数学 2020-06-22 Tomoya Murata , Taiji Suzuki

We study the problem of minimizing a sum of convex objective functions where the components of the objective are available at different nodes of a network and nodes are allowed to only communicate with their neighbors. The use of…

最优化与控制 · 数学 2015-04-24 Aryan Mokhtari , Qing Ling , Alejandro Ribeiro

In distributed optimization, a popular technique to reduce communication is quantization. In this paper, we provide a general analysis framework for inexact gradient descent that is applicable to quantization schemes. We also propose a…

最优化与控制 · 数学 2020-06-23 Tian Ye , Peijun Xiao , Ruoyu Sun

We revisit two fundamental decentralized optimization methods, Decentralized Gradient Tracking (DGT) and Decentralized Gradient Descent (DGD), with multiple local updates. We consider two settings and demonstrate that incorporating local…

机器学习 · 计算机科学 2024-12-25 Tongle Wu , Zhize Li , Ying Sun

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…

The purpose of this paper is to introduce two new classes of accelerated distributed proximal conjugate gradient algorithms for multi-agent constrained optimization problems; given as minimization of a function decomposed as a sum of M…

最优化与控制 · 数学 2024-06-21 Anteneh Getachew Gebrie

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…

最优化与控制 · 数学 2024-10-01 Kun Huang , Shi Pu

Communication overhead is the key challenge for distributed training. Gradient compression is a widely used approach to reduce communication traffic. When combining with parallel communication mechanism method like pipeline, gradient…

机器学习 · 计算机科学 2021-09-08 Enda Yu , Dezun Dong , Yemao Xu , Shuo Ouyang , Xiangke Liao

In this paper, we consider a distributed constrained optimization problem with delayed subgradient information over the time-varying communication network, where each agent can only communicate with its neighbors and the communication…

最优化与控制 · 数学 2021-06-16 Jie Liu , Zhan Yu , Daniel W. C. Ho

This paper considers the decentralized convex optimization problem, which has a wide range of applications in large-scale machine learning, sensor networks, and control theory. We propose novel algorithms that achieve optimal computation…

机器学习 · 计算机科学 2023-10-11 Haishan Ye , Luo Luo , Ziang Zhou , Tong Zhang

We study distributed optimization algorithms for minimizing the average of convex functions. The applications include empirical risk minimization problems in statistical machine learning where the datasets are large and have to be stored on…

最优化与控制 · 数学 2016-01-07 Jason D. Lee , Qihang Lin , Tengyu Ma , Tianbao Yang