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The question of how to parallelize the stochastic gradient descent (SGD) method has received much attention in the literature. In this paper, we focus instead on batch methods that use a sizeable fraction of the training set at each…

最优化与控制 · 数学 2016-10-26 Albert S. Berahas , Jorge Nocedal , Martin Takáč

Adam is known to perform significantly better than Stochastic Gradient Descent (SGD) in language models, a phenomenon for which a number of explanations have been proposed. In this work, we revisit this "optimizer gap" through a series of…

机器学习 · 计算机科学 2025-06-17 Teodora Srećković , Jonas Geiping , Antonio Orvieto

Graph neural networks (GNN) have shown promising results for several domains such as materials science, chemistry, and the social sciences. GNN models often contain millions of parameters, and like other neural network (NN) models, are…

机器学习 · 计算机科学 2026-04-21 Daniel T. Speckhard , Tim Bechtel , Sebastian Kehl , Jonathan Godwin , Claudia Draxl

The scale of deep learning nowadays calls for efficient distributed training algorithms. Decentralized momentum SGD (DmSGD), in which each node averages only with its neighbors, is more communication efficient than vanilla Parallel momentum…

机器学习 · 计算机科学 2021-04-27 Kun Yuan , Yiming Chen , Xinmeng Huang , Yingya Zhang , Pan Pan , Yinghui Xu , Wotao Yin

Graph neural network training is mainly categorized into mini-batch and full-batch training methods. The mini-batch training method samples subgraphs from the original graph in each iteration. This sampling operation introduces extra…

分布式、并行与集群计算 · 计算机科学 2024-08-02 Shuai Zhang , Zite Jiang , Haihang You

Graph Convolutional Networks (GCNs) are known to suffer from performance degradation as the number of layers increases, which is usually attributed to over-smoothing. Despite the apparent consensus, we observe that there exists a…

机器学习 · 计算机科学 2021-10-29 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

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 performance of fully synchronized distributed systems has faced a bottleneck due to the big data trend, under which asynchronous distributed systems are becoming a major popularity due to their powerful scalability. In this paper, we…

机器学习 · 统计学 2019-10-01 Jayanth Regatti , Gaurav Tendolkar , Yi Zhou , Abhishek Gupta , Yingbin Liang

The training of modern deep learning neural network calls for large amounts of computation, which is often provided by GPUs or other specific accelerators. To scale out to achieve faster training speed, two update algorithms are mainly…

机器学习 · 计算机科学 2020-05-15 Yemao Xu , Dezun Dong , Weixia Xu , Xiangke Liao

We investigate the ability of deep neural networks to identify the support of the target function. Our findings reveal that mini-batch SGD effectively learns the support in the first layer of the network by shrinking to zero the weights…

机器学习 · 计算机科学 2024-06-18 Pierfrancesco Beneventano , Andrea Pinto , Tomaso Poggio

It has been shown that gradient descent can yield the zero training loss in the over-parametrized regime (the width of the neural networks is much larger than the number of data points). In this work, combining the ideas of some existing…

最优化与控制 · 数学 2019-11-05 Lei Li

The convergence behavior of mini-batch stochastic gradient descent (SGD) is highly sensitive to the batch size and learning rate settings. Recent theoretical studies have identified the existence of a critical batch size that minimizes…

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

Graph Neural Networks (GNNs) have become powerful tools for learning from graph-structured data, finding applications across diverse domains. However, as graph sizes and connectivity increase, standard GNN training methods face significant…

机器学习 · 计算机科学 2025-12-01 Eshed Gal , Moshe Eliasof , Carola-Bibiane Schönlieb , Ivan I. Kyrchei , Eldad Haber , Eran Treister

Graph Neural Networks (GNNs) have achieved state-of-the-art (SOTA) performance in diverse domains. However, training GNNs on large-scale graphs poses significant challenges due to high memory demands and significant communication overhead…

分布式、并行与集群计算 · 计算机科学 2025-05-19 Arefin Niam , M S Q Zulkar Nine

Very deep convolutional networks with hundreds of layers have led to significant reductions in error on competitive benchmarks. Although the unmatched expressiveness of the many layers can be highly desirable at test time, training very…

机器学习 · 计算机科学 2016-08-01 Gao Huang , Yu Sun , Zhuang Liu , Daniel Sedra , Kilian Weinberger

Graph Neural Networks (GNNs) have become popular across a diverse set of tasks in exploring structural relationships between entities. However, due to the highly connected structure of the datasets, distributed training of GNNs on…

机器学习 · 计算机科学 2025-09-08 Arefin Niam , Tevfik Kosar , M S Q Zulkar Nine

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

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 propose a generic and simple strategy for utilizing stochastic gradient information in optimization. The technique essentially contains two consecutive steps in each iteration: 1) computing and normalizing each block…

机器学习 · 计算机科学 2018-04-24 Adams Wei Yu , Lei Huang , Qihang Lin , Ruslan Salakhutdinov , Jaime Carbonell

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