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Modern machine learning models are typically trained using Stochastic Gradient Descent (SGD) on massively parallel computing resources such as GPUs. Increasing mini-batch size is a simple and direct way to utilize the parallel computing…

机器学习 · 统计学 2019-03-05 Siyuan Ma , Mikhail Belkin

SGD (Stochastic Gradient Descent) is a popular algorithm for large scale optimization problems due to its low iterative cost. However, SGD can not achieve linear convergence rate as FGD (Full Gradient Descent) because of the inherent…

机器学习 · 计算机科学 2017-12-05 Aixiang Chen , Bingchuan Chen , Xiaolong Chai , Rui Bian , Hengguang Li

The plain stochastic gradient descent and momentum stochastic gradient descent have extremely wide applications in deep learning due to their simple settings and low computational complexity. The momentum stochastic gradient descent uses…

机器学习 · 计算机科学 2021-06-15 Kun Zeng , Jinlan Liu , Zhixia Jiang , Dongpo Xu

Distributed machine learning is critical for training deep learning models on large datasets with numerous parameters. Current research primarily focuses on leveraging additional hardware resources and powerful computing units to accelerate…

分布式、并行与集群计算 · 计算机科学 2025-11-03 Kuan-Wei Lu , Ding-Yong Hong , Pangfeng Liu , Jan-Jan Wu

The unprecedented growth of deep learning models has enabled remarkable advances but introduced substantial computational bottlenecks. A key factor contributing to training efficiency is batch-size and learning-rate scheduling in stochastic…

机器学习 · 计算机科学 2025-08-08 Hikaru Umeda , Hideaki Iiduka

We study the impact of the batch size $n_b$ on the iteration time $T$ of training two-layer neural networks with one-pass stochastic gradient descent (SGD) on multi-index target functions of isotropic covariates. We characterize the optimal…

机器学习 · 统计学 2024-09-06 Luca Arnaboldi , Yatin Dandi , Florent Krzakala , Bruno Loureiro , Luca Pesce , Ludovic Stephan

In an increasing number of domains it has been demonstrated that deep learning models can be trained using relatively large batch sizes without sacrificing data efficiency. However the limits of this massive data parallelism seem to differ…

机器学习 · 计算机科学 2018-12-18 Sam McCandlish , Jared Kaplan , Dario Amodei , OpenAI Dota Team

It has long been argued that minibatch stochastic gradient descent can generalize better than large batch gradient descent in deep neural networks. However recent papers have questioned this claim, arguing that this effect is simply a…

机器学习 · 计算机科学 2020-06-29 Samuel L. Smith , Erich Elsen , Soham De

Stochastic gradient descent (SGD) with stochastic momentum is popular in nonconvex stochastic optimization and particularly for the training of deep neural networks. In standard SGD, parameters are updated by improving along the path of the…

机器学习 · 计算机科学 2021-06-08 Jun-Kun Wang , Chi-Heng Lin , Jacob Abernethy

Deep neural networks are typically trained by uniformly sampling large datasets across epochs, despite evidence that not all samples contribute equally throughout learning. Recent work shows that progressively reducing the amount of…

机器学习 · 计算机科学 2026-04-15 Amar Gahir , Varshil Patel , Shreyank N Gowda

Neural network training is commonly accelerated by using multiple synchronized workers to compute gradient updates in parallel. Asynchronous methods remove synchronization overheads and improve hardware utilization at the cost of…

机器学习 · 计算机科学 2020-07-13 Abhinav Venigalla , Atli Kosson , Vitaliy Chiley , Urs Köster

Importance sampling is widely used to improve the efficiency of deep neural network (DNN) training by reducing the variance of gradient estimators. However, efficiently assessing the variance reduction relative to uniform sampling remains…

机器学习 · 计算机科学 2025-11-19 Takuro Kutsuna

When training deep neural networks, it is typically assumed that the training examples are uniformly difficult to learn. Or, to restate, it is assumed that the training error will be uniformly distributed across the training examples. Based…

机器学习 · 计算机科学 2015-10-09 Andrew J. R. Simpson

The increasing scale of data propels the popularity of leveraging parallelism to speed up the optimization. Minibatch stochastic gradient descent (minibatch SGD) and local SGD are two popular methods for parallel optimization. The existing…

机器学习 · 计算机科学 2025-10-14 Yunwen Lei , Tao Sun , Mingrui Liu

Distributed Deep Learning (DDL) is essential for large-scale Deep Learning (DL) training. Synchronous Stochastic Gradient Descent (SSGD) 1 is the de facto DDL optimization method. Using a sufficiently large batch size is critical to…

机器学习 · 计算机科学 2021-12-03 Wei Zhang , Mingrui Liu , Yu Feng , Xiaodong Cui , Brian Kingsbury , Yuhai Tu

In this paper, we introduce AdaSelection, an adaptive sub-sampling method to identify the most informative sub-samples within each minibatch to speed up the training of large-scale deep learning models without sacrificing model performance.…

机器学习 · 计算机科学 2023-06-21 Minghe Zhang , Chaosheng Dong , Jinmiao Fu , Tianchen Zhou , Jia Liang , Jia Liu , Bo Liu , Michinari Momma , Bryan Wang , Yan Gao , Yi Sun

In this paper, we develop a new accelerated stochastic gradient method for efficiently solving the convex regularized empirical risk minimization problem in mini-batch settings. The use of mini-batches is becoming a golden standard in the…

最优化与控制 · 数学 2017-09-20 Tomoya Murata , Taiji Suzuki

The increasing complexity of modern deep neural network models and the expanding sizes of datasets necessitate the development of optimized and scalable training methods. In this white paper, we addressed the challenge of efficiently…

机器学习 · 计算机科学 2024-04-29 Raphael Ruschel , A. S. M. Iftekhar , B. S. Manjunath , Suya You

Boosting is a popular ensemble algorithm that generates more powerful learners by linearly combining base models from a simpler hypothesis class. In this work, we investigate the problem of adapting batch gradient boosting for minimizing…

机器学习 · 计算机科学 2017-03-02 Hanzhang Hu , Wen Sun , Arun Venkatraman , Martial Hebert , J. Andrew Bagnell

We propose a mini-batching scheme for improving the theoretical complexity and practical performance of semi-stochastic gradient descent applied to the problem of minimizing a strongly convex composite function represented as the sum of an…

机器学习 · 计算机科学 2014-10-20 Jakub Konečný , Jie Liu , Peter Richtárik , Martin Takáč