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In this paper we apply the stochastic variance reduced gradient (SVRG) method, which is a popular variance reduction method in optimization for accelerating the stochastic gradient method, to solve large scale linear ill-posed systems in…

数值分析 · 数学 2024-03-20 Qinian Jin , Liuhong Chen

We study the asynchronous stochastic gradient descent algorithm for distributed training over $n$ workers which have varying computation and communication frequency over time. In this algorithm, workers compute stochastic gradients in…

机器学习 · 计算机科学 2022-06-17 Anastasia Koloskova , Sebastian U. Stich , Martin Jaggi

As datasets continue to increase in size and multi-core computer architectures are developed, asynchronous parallel optimization algorithms become more and more essential to the field of Machine Learning. Unfortunately, conducting the…

最优化与控制 · 数学 2019-03-26 Rémi Leblond , Fabian Pedregosa , Simon Lacoste-Julien

In machine learning, asynchronous parallel stochastic gradient descent (APSGD) is broadly used to speed up the training process through multi-workers. Meanwhile, the time delay of stale gradients in asynchronous algorithms is generally…

机器学习 · 计算机科学 2020-06-09 Lifu Wang , Bo Shen , Ning Zhao

Reducing communication in training large-scale machine learning applications on distributed platform is still a big challenge. To address this issue, we propose a distributed hierarchical averaging stochastic gradient descent (Hier-AVG)…

机器学习 · 计算机科学 2019-09-10 Fan Zhou , Guojing Cong

Gaussian processes (GPs) are powerful non-parametric function estimators. However, their applications are largely limited by the expensive computational cost of the inference procedures. Existing stochastic or distributed synchronous…

机器学习 · 统计学 2017-06-14 Hao Peng , Shandian Zhe , Yuan Qi

The learning rate is an important tuning parameter for stochastic gradient descent (SGD) and can greatly influence its performance. However, appropriate selection of a learning rate schedule across all iterations typically requires a…

机器学习 · 计算机科学 2025-05-29 Nikola Surjanovic , Alexandre Bouchard-Côté , Trevor Campbell

Stochastic gradient descent (SGD) is a standard optimization method to minimize a training error with respect to network parameters in modern neural network learning. However, it typically suffers from proliferation of saddle points in the…

机器学习 · 计算机科学 2017-11-23 Haiping Huang , Taro Toyoizumi

We describe an asynchronous parallel stochastic coordinate descent algorithm for minimizing smooth unconstrained or separably constrained functions. The method achieves a linear convergence rate on functions that satisfy an essential strong…

最优化与控制 · 数学 2014-11-12 Ji Liu , Stephen J. Wright , Christopher Ré , Victor Bittorf , Srikrishna Sridhar

This paper presents fault-tolerant asynchronous Stochastic Gradient Descent (SGD) algorithms. SGD is widely used for approximating the minimum of a cost function $Q$, as a core part of optimization and learning algorithms. Our algorithms…

分布式、并行与集群计算 · 计算机科学 2023-06-14 Hagit Attiya , Noa Schiller

We propose a stochastic modified equations (SME) for modeling the asynchronous stochastic gradient descent (ASGD) algorithms. The resulting SME of Langevin type extracts more information about the ASGD dynamics and elucidates the…

机器学习 · 统计学 2020-03-04 Jing An , Jianfeng Lu , Lexing Ying

Stochastic gradient descent (SGD) holds as a classical method to build large scale machine learning models over big data. A stochastic gradient is typically calculated from a limited number of samples (known as mini-batch), so it…

机器学习 · 计算机科学 2016-01-14 Yadong Mu , Wei Liu , Wei Fan

The training of Deep Neural Networks usually needs tremendous computing resources. Therefore many deep models are trained in large cluster instead of single machine or GPU. Though major researchs at present try to run whole model on all…

机器学习 · 计算机科学 2018-06-12 Hao Dong , Shuai Li , Dongchang Xu , Yi Ren , Di Zhang

Local stochastic gradient descent (Local-SGD), also referred to as federated averaging, is an approach to distributed optimization where each device performs more than one SGD update per communication. This work presents an empirical study…

We address the application of stochastic optimization methods for the simultaneous control of parameter-dependent systems. In particular, we focus on the classical Stochastic Gradient Descent (SGD) approach of Robbins and Monro, and on the…

最优化与控制 · 数学 2023-02-08 Umberto Biccari , Ana Navarro-Quiles , Enrique Zuazua

Stochastic Gradient Descent (SGD) is the most popular algorithm for training deep neural networks (DNNs). As larger networks and datasets cause longer training times, training on distributed systems is common and distributed SGD variants,…

机器学习 · 计算机科学 2019-06-17 Kwangmin Yu , Thomas Flynn , Shinjae Yoo , Nicholas D'Imperio

We describe an asynchronous parallel stochastic proximal coordinate descent algorithm for minimizing a composite objective function, which consists of a smooth convex function plus a separable convex function. In contrast to previous…

最优化与控制 · 数学 2015-12-14 Ji Liu , Stephen J. Wright

Stochastic gradient descent (SGD) or stochastic approximation has been widely used in model training and stochastic optimization. While there is a huge literature on analyzing its convergence, inference on the obtained solutions from SGD…

机器学习 · 统计学 2026-04-01 Henry Lam , Zitong Wang

As the size and complexity of models and datasets grow, so does the need for communication-efficient variants of stochastic gradient descent that can be deployed to perform parallel model training. One popular communication-compression…

机器学习 · 计算机科学 2021-05-05 Ali Ramezani-Kebrya , Fartash Faghri , Ilya Markov , Vitalii Aksenov , Dan Alistarh , Daniel M. Roy

As the size and complexity of models and datasets grow, so does the need for communication-efficient variants of stochastic gradient descent that can be deployed to perform parallel model training. One popular communication-compression…

机器学习 · 计算机科学 2021-05-24 Ali Ramezani-Kebrya , Fartash Faghri , Ilya Markov , Vitalii Aksenov , Dan Alistarh , Daniel M. Roy