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There has been a recent surge of interest in understanding the convergence of gradient descent (GD) and stochastic gradient descent (SGD) in overparameterized neural networks. Most previous works assume that the training data is provided a…

机器学习 · 统计学 2021-05-04 Jiaming Xu , Hanjing Zhu

With the fast development of deep learning, it has become common to learn big neural networks using massive training data. Asynchronous Stochastic Gradient Descent (ASGD) is widely adopted to fulfill this task for its efficiency, which is,…

机器学习 · 计算机科学 2020-02-19 Shuxin Zheng , Qi Meng , Taifeng Wang , Wei Chen , Nenghai Yu , Zhi-Ming Ma , Tie-Yan Liu

Deep neural networks achieve stellar generalisation even when they have enough parameters to easily fit all their training data. We study this phenomenon by analysing the dynamics and the performance of over-parameterised two-layer neural…

机器学习 · 统计学 2022-03-28 Sebastian Goldt , Madhu S. Advani , Andrew M. Saxe , Florent Krzakala , Lenka Zdeborová

Natural Gradient Descent (NGD) has emerged as a promising optimization algorithm for training neural network-based solvers for partial differential equations (PDEs), such as Physics-Informed Neural Networks (PINNs). However, its practical…

数值分析 · 数学 2026-05-28 Ivan Bioli , Carlo Marcati , Giancarlo Sangalli

Following early work on Hessian-free methods for deep learning, we study a stochastic generalized Gauss-Newton method (SGN) for training DNNs. SGN is a second-order optimization method, with efficient iterations, that we demonstrate to…

机器学习 · 计算机科学 2020-06-11 Matilde Gargiani , Andrea Zanelli , Moritz Diehl , Frank Hutter

Modern machine learning is trained by stochastic gradient descent (SGD), whose performance critically depends on how the learning rate (LR) is adjusted and decreased over time. Yet existing LR regimes may be intricate, or need to tune one…

机器学习 · 计算机科学 2025-08-20 Zhuang Yang

Asynchronous stochastic gradient descent (SGD) is attractive from a speed perspective because workers do not wait for synchronization. However, the Transformer model converges poorly with asynchronous SGD, resulting in substantially lower…

计算与语言 · 计算机科学 2021-11-30 Alham Fikri Aji , Kenneth Heafield

The stochastic gradient descent (SGD) optimizers are generally used to train the convolutional neural networks (CNNs). In recent years, several adaptive momentum based SGD optimizers have been introduced, such as Adam, diffGrad, Radam and…

计算机视觉与模式识别 · 计算机科学 2022-10-14 Shiv Ram Dubey , Satish Kumar Singh , Bidyut Baran Chaudhuri

Intra prediction is an important component of modern video codecs, which is able to efficiently squeeze out the spatial redundancy in video frames. With preceding pixels as the context, traditional intra prediction schemes generate linear…

计算机视觉与模式识别 · 计算机科学 2019-05-28 Yueyu Hu , Wenhan Yang , Mading Li , Jiaying Liu

Training deep neural networks (DNNs) efficiently is a challenge due to the associated highly nonconvex optimization. The backpropagation (backprop) algorithm has long been the most widely used algorithm for gradient computation of…

机器学习 · 统计学 2018-03-28 Tim Tsz-Kit Lau , Jinshan Zeng , Baoyuan Wu , Yuan Yao

Recently, recurrent neural networks (RNNs) as powerful sequence models have re-emerged as a potential acoustic model for statistical parametric speech synthesis (SPSS). The long short-term memory (LSTM) architecture is particularly…

计算与语言 · 计算机科学 2016-01-12 Zhizheng Wu , Simon King

Neural network has attracted great attention for a long time and many researchers are devoted to improve the effectiveness of neural network training algorithms. Though stochastic gradient descent (SGD) and other explicit gradient-based…

最优化与控制 · 数学 2020-02-11 Ren Liu , Xiaoqun Zhang

We consider the contextual bandit problem, where a player sequentially makes decisions based on past observations to maximize the cumulative reward. Although many algorithms have been proposed for contextual bandit, most of them rely on…

机器学习 · 计算机科学 2021-06-08 Qin Ding , Cho-Jui Hsieh , James Sharpnack

Recurrent Neural Networks (RNN) have recently achieved the best performance in off-line Handwriting Text Recognition. At the same time, learning RNN by gradient descent leads to slow convergence, and training times are particularly long…

机器学习 · 计算机科学 2013-12-09 Jérôme Louradour , Christopher Kermorvant

The ability to train large-scale neural networks has resulted in state-of-the-art performance in many areas of computer vision. These results have largely come from computational break throughs of two forms: model parallelism, e.g. GPU…

计算机视觉与模式识别 · 计算机科学 2013-12-24 Thomas Paine , Hailin Jin , Jianchao Yang , Zhe Lin , Thomas Huang

This paper presents a novel technique based on gradient boosting to train the final layers of a neural network (NN). Gradient boosting is an additive expansion algorithm in which a series of models are trained sequentially to approximate a…

机器学习 · 计算机科学 2023-05-05 Seyedsaman Emami , Gonzalo Martínez-Muñoz

In this work we apply model averaging to parallel training of deep neural network (DNN). Parallelization is done in a model averaging manner. Data is partitioned and distributed to different nodes for local model updates, and model…

机器学习 · 计算机科学 2018-07-03 Hang Su , Haoyu Chen

We consider the problem of approximating a function by an element of a nonlinear manifold which admits a differentiable parametrization, typical examples being neural networks with differentiable activation functions or tensor networks.…

机器学习 · 计算机科学 2026-04-20 Anthony Nouy , Agustín Somacal

In this paper, we revisit stochastic gradient descent (SGD) with AdaGrad-type preconditioning. Our contributions are twofold. First, we develop a unified convergence analysis of SGD with adaptive preconditioning under anisotropic or matrix…

机器学习 · 计算机科学 2025-07-01 Dmitry Kovalev

Stochastic gradient descent updates parameters with summation gradient computed from a random data batch. This summation will lead to unbalanced training process if the data we obtained is unbalanced. To address this issue, this paper takes…

机器学习 · 计算机科学 2019-05-22 Tao Yi , Xingxuan Wang
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