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Distributed learning systems have enabled training large-scale models over large amount of data in significantly shorter time. In this paper, we focus on decentralized distributed deep learning systems and aim to achieve differential…

机器学习 · 计算机科学 2018-11-28 Hsin-Pai Cheng , Patrick Yu , Haojing Hu , Feng Yan , Shiyu Li , Hai Li , Yiran Chen

The presence of uncertainty in material properties and geometry of a structure is ubiquitous. The design of robust engineering structures, therefore, needs to incorporate uncertainty in the optimization process. Stochastic gradient descent…

最优化与控制 · 数学 2019-11-26 Subhayan De , Kurt Maute , Alireza Doostan

In this paper, we propose a method of distributed stochastic gradient descent (SGD), with low communication load and computational complexity, and still fast convergence. To reduce the communication load, at each iteration of the algorithm,…

机器学习 · 计算机科学 2020-03-30 Naeimeh Omidvar , Mohammad Ali Maddah-Ali , Hamed Mahdavi

This paper investigates the stochastic optimization problem with a focus on developing scalable parallel algorithms for deep learning tasks. Our solution involves a reformation of the objective function for stochastic optimization in neural…

机器学习 · 计算机科学 2020-04-09 Pengzhan Guo , Zeyang Ye , Keli Xiao , Wei Zhu

Stochastic descent methods (of the gradient and mirror varieties) have become increasingly popular in optimization. In fact, it is now widely recognized that the success of deep learning is not only due to the special deep architecture of…

机器学习 · 计算机科学 2019-01-21 Navid Azizan , Babak Hassibi

We study stochastic gradient descent (SGD) for composite optimization problems with $N$ sequential operators subject to perturbations in both the forward and backward passes. Unlike classical analyses that treat gradient noise as additive…

最优化与控制 · 数学 2026-02-25 Boao Kong , Hengrui Zhang , Kun Yuan

We introduce \textsc{$k$-lazyGD}, an online learning algorithm that bridges the gap between greedy Online Gradient Descent (OGD, for $k{=}1$) and lazy GD/dual-averaging (for $k{=}T$), creating a spectrum between reactive and stable updates.…

机器学习 · 计算机科学 2026-05-11 Naram Mhaisen , George Iosifidis

In this article we study the stochastic gradient descent (SGD) optimization method in the training of fully-connected feedforward artificial neural networks with ReLU activation. The main result of this work proves that the risk of the SGD…

数值分析 · 数学 2022-09-28 Arnulf Jentzen , Adrian Riekert

Decentralized learning has emerged as a powerful approach for handling large datasets across multiple machines in a communication-efficient manner. However, such methods often face scalability limitations, as increasing the number of…

机器学习 · 计算机科学 2025-06-03 Ofri Eisen , Ron Dorfman , Kfir Y. Levy

Distributed learning (DL) uses multiple nodes to accelerate training, enabling efficient optimization of large-scale models. Stochastic Gradient Descent (SGD), a key optimization algorithm, plays a central role in this process. However,…

机器学习 · 计算机科学 2025-04-30 Hongyang Li , Caesar Wu , Mohammed Chadli , Said Mammar , Pascal Bouvry

Stochastic gradient descent (SGD) algorithm is the method of choice in many machine learning tasks thanks to its scalability and efficiency in dealing with large-scale problems. In this paper, we focus on the shuffling version of SGD which…

机器学习 · 计算机科学 2023-10-27 Lam M. Nguyen , Trang H. Tran

Gradient descent algorithm is the most utilized method when optimizing machine learning issues. However, there exists many local minimums and saddle points in the loss function, especially for high dimensional non-convex optimization…

机器学习 · 计算机科学 2021-07-19 Zhicheng Cai

In this paper, we propose a generalized framework for developing learning-rate-free momentum stochastic gradient descent (SGD) methods in the minimization of nonsmooth nonconvex functions, especially in training nonsmooth neural networks.…

最优化与控制 · 数学 2024-06-27 Xiaoyin Hu , Nachuan Xiao , Xin Liu , Kim-Chuan Toh

Hogwild! implements asynchronous Stochastic Gradient Descent (SGD) where multiple threads in parallel access a common repository containing training data, perform SGD iterations and update shared state that represents a jointly learned…

机器学习 · 计算机科学 2021-03-02 Marten van Dijk , Nhuong V. Nguyen , Toan N. Nguyen , Lam M. Nguyen , Quoc Tran-Dinh , Phuong Ha Nguyen

Stochastic gradient descent (SGD) still is the workhorse for many practical problems. However, it converges slow, and can be difficult to tune. It is possible to precondition SGD to accelerate its convergence remarkably. But many attempts…

机器学习 · 统计学 2017-02-23 Xi-Lin Li

We consider a distributed learning problem in which the computation is carried out on a system consisting of a master node and multiple worker nodes. In such systems, the existence of slow-running machines called stragglers will cause a…

信息论 · 计算机科学 2019-01-16 Shunsuke Horii , Takahiro Yoshida , Manabu Kobayashi , Toshiyasu Matsushima

Machine learning (ML) models trained by differentially private stochastic gradient descent (DP-SGD) have much lower utility than the non-private ones. To mitigate this degradation, we propose a DP Laplacian smoothing SGD (DP-LSSGD) to train…

机器学习 · 计算机科学 2019-12-10 Bao Wang , Quanquan Gu , March Boedihardjo , Farzin Barekat , Stanley J. Osher

This paper proposes a novel parallel stochastic gradient descent (SGD) method that is obtained by applying parallel sets of SGD iterations (each set operating on one node using the data residing in it) for finding the direction in each…

机器学习 · 计算机科学 2013-11-05 Dhruv Mahajan , S. Sathiya Keerthi , S. Sundararajan , Leon Bottou

Recent developments on large-scale distributed machine learning applications, e.g., deep neural networks, benefit enormously from the advances in distributed non-convex optimization techniques, e.g., distributed Stochastic Gradient Descent…

最优化与控制 · 数学 2019-05-13 Hao Yu , Rong Jin , Sen Yang

This paper investigates the problems large-scale distributed composite convex optimization, with motivations from a broad range of applications, including multi-agent systems, federated learning, smart grids, wireless sensor networks,…

最优化与控制 · 数学 2025-12-16 Maoran Wang , Xingju Cai , Yongxin Chen
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