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Weight decay is one of the standard tricks in the neural network toolbox, but the reasons for its regularization effect are poorly understood, and recent results have cast doubt on the traditional interpretation in terms of $L_2$…

机器学习 · 计算机科学 2018-10-30 Guodong Zhang , Chaoqi Wang , Bowen Xu , Roger Grosse

Deep neural networks exploiting millions of parameters are nowadays the norm in deep learning applications. This is a potential issue because of the great amount of computational resources needed for training, and of the possible loss of…

计算与语言 · 计算机科学 2022-10-31 Giovanni Bonetta , Matteo Ribero , Rossella Cancelliere

Using weight decay to penalize the L2 norms of weights in neural networks has been a standard training practice to regularize the complexity of networks. In this paper, we show that a family of regularizers, including weight decay, is…

机器学习 · 计算机科学 2022-06-09 Ziquan Liu , Yufei Cui , Antoni B. Chan

Over the past few years, Batch-Normalization has been commonly used in deep networks, allowing faster training and high performance for a wide variety of applications. However, the reasons behind its merits remained unanswered, with several…

机器学习 · 统计学 2019-02-08 Elad Hoffer , Ron Banner , Itay Golan , Daniel Soudry

Regularization techniques such as $\mathcal{L}_1$ and $\mathcal{L}_2$ regularizers are effective in sparsifying neural networks (NNs). However, to remove a certain neuron or channel in NNs, all weight elements related to that neuron or…

机器学习 · 计算机科学 2023-05-31 Ali Haisam Muhammad Rafid , Adrian Sandu

The impressive success of modern deep neural networks on computer vision tasks has been achieved through models of very large capacity compared to the number of available training examples. This overparameterization is often said to be…

计算机视觉与模式识别 · 计算机科学 2018-07-13 Alex Hernández-García , Peter König

Weight decay is a broadly used technique for training state-of-the-art deep networks from image classification to large language models. Despite its widespread usage and being extensively studied in the classical literature, its role…

机器学习 · 计算机科学 2024-11-06 Francesco D'Angelo , Maksym Andriushchenko , Aditya Varre , Nicolas Flammarion

The pressing need to reduce the capacity of deep neural networks has stimulated the development of network dilution methods and their analysis. While the ability of $L_1$ and $L_0$ regularization to encourage sparsity is often mentioned,…

图像与视频处理 · 电气工程与系统科学 2020-12-08 Yael Ben-Guigui , Jacob Goldberger , Tammy Riklin-Raviv

Training neural networks with batch normalization and weight decay has become a common practice in recent years. In this work, we show that their combined use may result in a surprising periodic behavior of optimization dynamics: the…

机器学习 · 计算机科学 2022-01-19 Ekaterina Lobacheva , Maxim Kodryan , Nadezhda Chirkova , Andrey Malinin , Dmitry Vetrov

In this article, we introduce a novel normalization technique for neural network weight matrices, which we term weight conditioning. This approach aims to narrow the gap between the smallest and largest singular values of the weight…

计算机视觉与模式识别 · 计算机科学 2026-03-16 Hemanth Saratchandran , Thomas X. Wang , Simon Lucey

The aim of this paper is to introduce two widely applicable regularization methods based on the direct modification of weight matrices. The first method, Weight Reinitialization, utilizes a simplified Bayesian assumption with partially…

机器学习 · 计算机科学 2022-06-07 Patrik Reizinger , Bálint Gyires-Tóth

We present weight normalization: a reparameterization of the weight vectors in a neural network that decouples the length of those weight vectors from their direction. By reparameterizing the weights in this way we improve the conditioning…

机器学习 · 计算机科学 2016-06-07 Tim Salimans , Diederik P. Kingma

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

Batch Normalization is a commonly used trick to improve the training of deep neural networks. These neural networks use L2 regularization, also called weight decay, ostensibly to prevent overfitting. However, we show that L2 regularization…

机器学习 · 计算机科学 2017-06-19 Twan van Laarhoven

This paper proposes a novel binarized weight network (BT) for a resource-efficient neural structure. The proposed model estimates a binary representation of weights by taking into account the approximation error with an additional term.…

计算机视觉与模式识别 · 计算机科学 2021-05-11 Savas Ozkan , Gozde Bozdagi Akar

In recent years, a variety of normalization methods have been proposed to help train neural networks, such as batch normalization (BN), layer normalization (LN), weight normalization (WN), group normalization (GN), etc. However,…

机器学习 · 计算机科学 2020-06-17 Jiacheng Sun , Xiangyong Cao , Hanwen Liang , Weiran Huang , Zewei Chen , Zhenguo Li

Deep neural networks (DNNs) have become increasingly important due to their excellent empirical performance on a wide range of problems. However, regularization is generally achieved by indirect means, largely due to the complex set of…

机器学习 · 计算机科学 2018-07-02 Amal Rannen Triki , Maxim Berman , Matthew B. Blaschko

The strong correlation between neurons or filters can significantly weaken the generalization ability of neural networks. Inspired by the well-known Tammes problem, we propose a novel diversity regularization method to address this issue,…

机器学习 · 计算机科学 2021-03-24 Zhennan Wang , Canqun Xiang , Wenbin Zou , Chen Xu

Deep neural networks are learning models with a very high capacity and therefore prone to over-fitting. Many regularization techniques such as Dropout, DropConnect, and weight decay all attempt to solve the problem of over-fitting by…

机器学习 · 计算机科学 2016-12-06 Armen Aghajanyan

Regularization is commonly used for alleviating overfitting in machine learning. For convolutional neural networks (CNNs), regularization methods, such as DropBlock and Shake-Shake, have illustrated the improvement in the generalization…

计算机视觉与模式识别 · 计算机科学 2021-01-01 Yi Wang , Zhen-Peng Bian , Junhui Hou , Lap-Pui Chau
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