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With an increasing demand for training powers for deep learning algorithms and the rapid growth of computation resources in data centers, it is desirable to dynamically schedule different distributed deep learning tasks to maximize resource…

机器学习 · 计算机科学 2019-05-03 Haibin Lin , Hang Zhang , Yifei Ma , Tong He , Zhi Zhang , Sheng Zha , Mu Li

This paper provides a review and commentary on the past, present, and future of numerical optimization algorithms in the context of machine learning applications. Through case studies on text classification and the training of deep neural…

机器学习 · 统计学 2018-02-12 Léon Bottou , Frank E. Curtis , Jorge Nocedal

Reinforcement learning systems require good representations to work well. For decades practical success in reinforcement learning was limited to small domains. Deep reinforcement learning systems, on the other hand, are scalable, not…

机器学习 · 计算机科学 2020-03-18 Sina Ghiassian , Banafsheh Rafiee , Yat Long Lo , Adam White

In value-based deep reinforcement learning with replay memories, the batch size parameter specifies how many transitions to sample for each gradient update. Although critical to the learning process, this value is typically not adjusted…

机器学习 · 计算机科学 2023-10-09 Johan Obando-Ceron , Marc G. Bellemare , Pablo Samuel Castro

Unlike the conventional wisdom in statistical learning theory, the test error of a deep neural network (DNN) often demonstrates double descent: as the model complexity increases, it first follows a classical U-shaped curve and then shows a…

机器学习 · 计算机科学 2021-06-04 Xiao Zhang , Dongrui Wu , Haoyi Xiong , Bo Dai

Batch Normalization (BatchNorm) is a widely adopted technique that enables faster and more stable training of deep neural networks (DNNs). Despite its pervasiveness, the exact reasons for BatchNorm's effectiveness are still poorly…

机器学习 · 统计学 2019-04-16 Shibani Santurkar , Dimitris Tsipras , Andrew Ilyas , Aleksander Madry

Training neural networks is an optimization problem, and finding a decent set of parameters through gradient descent can be a difficult task. A host of techniques has been developed to aid this process before and during the training phase.…

机器学习 · 计算机科学 2020-08-19 Divya Gaur , Joachim Folz , Andreas Dengel

Deep neural networks have gained tremendous popularity in last few years. They have been applied for the task of classification in almost every domain. Despite the success, deep networks can be incredibly slow to train for even moderate…

机器学习 · 计算机科学 2018-10-11 Gaurav Singh , John Shawe-Taylor

Machine learning is predicated on the concept of generalization: a model achieving low error on a sufficiently large training set should also perform well on novel samples from the same distribution. We show that both data whitening and…

机器学习 · 计算机科学 2021-07-20 Neha S. Wadia , Daniel Duckworth , Samuel S. Schoenholz , Ethan Dyer , Jascha Sohl-Dickstein

Training deep neural networks with Stochastic Gradient Descent, or its variants, requires careful choice of both learning rate and batch size. While smaller batch sizes generally converge in fewer training epochs, larger batch sizes offer…

机器学习 · 计算机科学 2018-02-15 Aditya Devarakonda , Maxim Naumov , Michael Garland

We study the performance of stochastically trained deep neural networks (DNNs) whose synaptic weights are implemented using emerging memristive devices that exhibit limited dynamic range, resolution, and variability in their programming…

机器学习 · 统计学 2017-11-13 Anakha V Babu , Bipin Rajendran

Part I of this paper considered optimization problems over networks where agents have individual objectives to meet, or individual parameter vectors to estimate, subject to subspace constraints that require the objectives across the network…

多智能体系统 · 计算机科学 2019-07-01 Roula Nassif , Stefan Vlaski , Ali H. Sayed

First-order optimization methods remain the standard for training deep neural networks (DNNs). Optimizers like Adam incorporate limited curvature information by preconditioning the stochastic gradient with a diagonal matrix. Despite the…

机器学习 · 计算机科学 2025-04-30 Damien Martins Gomes

Scaling deep neural network (DNN) training to more devices can reduce time-to-solution. However, it is impractical for users with limited computing resources. FOSI, as a hybrid order optimizer, converges faster than conventional optimizers…

机器学习 · 计算机科学 2025-08-05 Shunxian Gu , Chaoqun You , Bangbang Ren , Lailong Luo , Junxu Xia , Deke Guo

Balancing convergence speed, generalization capability, and computational efficiency remains a core challenge in deep learning optimization. First-order gradient descent methods, epitomized by stochastic gradient descent (SGD) and Adam,…

Deep neural networks are commonly trained using stochastic non-convex optimization procedures, which are driven by gradient information estimated on fractions (batches) of the dataset. While it is commonly accepted that batch size is an…

机器学习 · 计算机科学 2016-04-26 Ilya Loshchilov , Frank Hutter

Over-parameterized deep neural networks (DNNs) with sufficient capacity to memorize random noise can achieve excellent generalization performance, challenging the bias-variance trade-off in classical learning theory. Recent studies claimed…

机器学习 · 计算机科学 2022-11-15 Xiao Zhang , Haoyi Xiong , Dongrui Wu

Reinforcement learning algorithms can show strong variation in performance between training runs with different random seeds. In this paper we explore how this affects hyperparameter optimization when the goal is to find hyperparameter…

机器学习 · 计算机科学 2020-07-31 Lars Hertel , Pierre Baldi , Daniel L. Gillen

The choice of batch-size in a stochastic optimization algorithm plays a substantial role for both optimization and generalization. Increasing the batch-size used typically improves optimization but degrades generalization. To address the…

机器学习 · 计算机科学 2020-03-03 Yeming Wen , Kevin Luk , Maxime Gazeau , Guodong Zhang , Harris Chan , Jimmy Ba

Second-order optimization methods, which leverage curvature information, offer faster and more stable convergence than first-order methods such as stochastic gradient descent (SGD) and Adam. However, their practical adoption is hindered by…

新兴技术 · 计算机科学 2025-12-08 Saitao Zhang , Yubiao Luo , Shiqing Wang , Pushen Zuo , Yongxiang Li , Lunshuai Pan , Zheng Miao , Zhong Sun