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The challenge of speeding up deep learning models during the deployment phase has been a large, expensive bottleneck in the modern tech industry. In this paper, we examine the use of both regularization and pruning for reduced computational…

机器学习 · 计算机科学 2020-04-10 Tai Vu , Emily Wen , Roy Nehoran

Learning rate schedule can significantly affect generalization performance in modern neural networks, but the reasons for this are not yet understood. Li-Wei-Ma (2019) recently proved this behavior can exist in a simplified non-convex…

机器学习 · 计算机科学 2020-05-18 Preetum Nakkiran

Adjusting the learning rate schedule in stochastic gradient methods is an important unresolved problem which requires tuning in practice. If certain parameters of the loss function such as smoothness or strong convexity constants are known,…

机器学习 · 统计学 2020-11-23 Xiaoxia Wu , Rachel Ward , Léon Bottou

Deep learning has been wildly successful in practice and most state-of-the-art machine learning methods are based on neural networks. Lacking, however, is a rigorous mathematical theory that adequately explains the amazing performance of…

机器学习 · 统计学 2023-10-03 Rahul Parhi , Robert D. Nowak

Neural network training relies on our ability to find "good" minimizers of highly non-convex loss functions. It is well-known that certain network architecture designs (e.g., skip connections) produce loss functions that train easier, and…

机器学习 · 计算机科学 2018-11-08 Hao Li , Zheng Xu , Gavin Taylor , Christoph Studer , Tom Goldstein

The strength of machine learning models stems from their ability to learn complex function approximations from data; however, this strength also makes training deep neural networks challenging. Notably, the complex models tend to memorize…

计算机视觉与模式识别 · 计算机科学 2023-04-17 Mofassir ul Islam Arif , Mohsan Jameel , Josif Grabocka , Lars Schmidt-Thieme

Recent works have cast some light on the mystery of why deep nets fit any data and generalize despite being very overparametrized. This paper analyzes training and generalization for a simple 2-layer ReLU net with random initialization, and…

机器学习 · 计算机科学 2019-05-28 Sanjeev Arora , Simon S. Du , Wei Hu , Zhiyuan Li , Ruosong Wang

Sparse optimization is a fundamental challenge in various practical applications. A popular approach to sparse optimization is $\ell_p$ regularization. However, it may encounter optimization instability due to the unbounded gradients when…

机器学习 · 计算机科学 2026-05-29 Huangyu Xu , Jingqin Yang , Qianqian Xu , Jiaye Teng

Deep neural networks struggle to continually learn multiple sequential tasks due to catastrophic forgetting of previously learned tasks. Rehearsal-based methods which explicitly store previous task samples in the buffer and interleave them…

机器学习 · 计算机科学 2022-07-12 Prashant Bhat , Bahram Zonooz , Elahe Arani

The "CNN-RNN" design pattern is increasingly widely applied in a variety of image annotation tasks including multi-label classification and captioning. Existing models use the weakly semantic CNN hidden layer or its transform as the image…

计算机视觉与模式识别 · 计算机科学 2016-11-18 Feng Liu , Tao Xiang , Timothy M. Hospedales , Wankou Yang , Changyin Sun

Over-parameterized neural network models often lead to significant performance discrepancies between training and test sets, a phenomenon known as overfitting. To address this, researchers have proposed numerous regularization techniques…

机器学习 · 计算机科学 2025-01-27 RuiZhe Jiang , Haotian Lei

Regularization is essential when training large neural networks. As deep neural networks can be mathematically interpreted as universal function approximators, they are effective at memorizing sampling noise in the training data. This…

机器学习 · 计算机科学 2015-01-06 Jan Rudy , Weiguang Ding , Daniel Jiwoong Im , Graham W. Taylor

We theoretically analyze the Feedback Alignment (FA) algorithm, an efficient alternative to backpropagation for training neural networks. We provide convergence guarantees with rates for deep linear networks for both continuous and discrete…

机器学习 · 计算机科学 2021-10-22 Manuela Girotti , Ioannis Mitliagkas , Gauthier Gidel

While reinforcement learning (RL) holds great potential for decision making in the real world, it suffers from a number of unique difficulties which often need specific consideration. In particular: it is highly non-stationary; suffers from…

We investigate the effect of explicitly enforcing the Lipschitz continuity of neural networks with respect to their inputs. To this end, we provide a simple technique for computing an upper bound to the Lipschitz constant---for multiple…

机器学习 · 统计学 2020-08-11 Henry Gouk , Eibe Frank , Bernhard Pfahringer , Michael J. Cree

How to train deep neural networks (DNNs) to generalize well is a central concern in deep learning, especially for severely overparameterized networks nowadays. In this paper, we propose an effective method to improve the model…

机器学习 · 计算机科学 2022-06-28 Yang Zhao , Hao Zhang , Xiuyuan Hu

Deep learning systems are known to exhibit implicit regularization (alt. implicit bias), favoring simple solutions instead of merely minimizing the loss function. In some cases, we can analytically derive the implicit regularization --…

机器学习 · 统计学 2026-05-08 Joseph H. Rudoler , Kevin Tan , Giles Hooker , Konrad P. Kording

The notion of developing statistical methods in machine learning which are robust to adversarial perturbations in the underlying data has been the subject of increasing interest in recent years. A common feature of this work is that the…

统计理论 · 数学 2017-02-28 Dimitris Bertsimas , Martin S. Copenhaver

Modern wireless networks face critical challenges when mobile users traverse heterogeneous network configurations with varying antenna layouts, carrier frequencies, and scattering statistics. Traditional predictors degrade under…

分布式、并行与集群计算 · 计算机科学 2025-09-19 Muhammad Ahmed Mohsin , Muhammad Umer , Ahsan Bilal , Muhammad Ibtsaam Qadir , Muhammad Ali Jamshed , Dean F. Hougen , John M. Cioffi

During the training of networks for distance metric learning, minimizers of the typical loss functions can be considered as "feasible points" satisfying a set of constraints imposed by the training data. To this end, we reformulate distance…

计算机视觉与模式识别 · 计算机科学 2023-07-18 Oğul Can , Yeti Ziya Gürbüz , A. Aydın Alatan
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