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相关论文: Adaptive Weight Decay for Deep Neural Networks

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Regularization is a critical component in deep learning. The most commonly used approach, weight decay, applies a constant penalty coefficient uniformly across all parameters. This may be overly restrictive for some parameters, while…

机器学习 · 计算机科学 2024-12-10 Jörg K. H. Franke , Michael Hefenbrock , Gregor Koehler , Frank Hutter

We explore the low-rank structure of the weight matrices in neural networks at the stationary points (limiting solutions of optimization algorithms) with $L2$ regularization (also known as weight decay). We show several properties of such…

机器学习 · 计算机科学 2025-08-21 Ilja Kuzborskij , Yasin Abbasi Yadkori

Contrary to most machine learning models, modern deep artificial neural networks typically include multiple components that contribute to regularization. Despite the fact that some (explicit) regularization techniques, such as weight decay…

计算机视觉与模式识别 · 计算机科学 2020-11-13 Alex Hernández-García , Peter König

Dropout and other feature noising schemes control overfitting by artificially corrupting the training data. For generalized linear models, dropout performs a form of adaptive regularization. Using this viewpoint, we show that the dropout…

机器学习 · 统计学 2013-11-04 Stefan Wager , Sida Wang , Percy Liang

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

In this work, we propose an optimization algorithm which we call norm-adapted gradient descent. This algorithm is similar to other gradient-based optimization algorithms like Adam or Adagrad in that it adapts the learning rate of stochastic…

机器学习 · 计算机科学 2020-10-14 David Sprunger

Weight decay is a standard regularization technique for training large language models (LLMs). While it is common to assign a uniform decay rate to every layer, this approach overlooks the structural diversity of LLMs and the varying…

计算与语言 · 计算机科学 2025-11-06 Di He , Songjun Tu , Ajay Jaiswal , Li Shen , Ganzhao Yuan , Shiwei Liu , Lu Yin

Regularization is a fundamental technique to prevent over-fitting and to improve generalization performances by constraining a model's complexity. Current Deep Networks heavily rely on regularizers such as Data-Augmentation (DA) or…

机器学习 · 计算机科学 2022-04-12 Randall Balestriero , Leon Bottou , Yann LeCun

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

Stochastic optimization plays a crucial role in the advancement of deep learning technologies. Over the decades, significant effort has been dedicated to improving the training efficiency and robustness of deep neural networks, via various…

机器学习 · 计算机科学 2024-08-21 Huixiu Jiang , Ling Yang , Yu Bao , Rutong Si , Sikun Yang

This work is substituted by the paper in arXiv:2011.14066. Stochastic gradient descent is the de facto algorithm for training deep neural networks (DNNs). Despite its popularity, it still requires fine tuning in order to achieve its best…

机器学习 · 统计学 2020-12-02 Vatsal Shah , Anastasios Kyrillidis , Sujay Sanghavi

Normalization techniques are a boon for modern deep learning. They let weights converge more quickly with often better generalization performances. It has been argued that the normalization-induced scale invariance among the weights…

机器学习 · 计算机科学 2021-01-19 Byeongho Heo , Sanghyuk Chun , Seong Joon Oh , Dongyoon Han , Sangdoo Yun , Gyuwan Kim , Youngjung Uh , Jung-Woo Ha

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

In this paper, we study norm-based regularization methods for neural networks. We compare existing penalization approaches and introduce two regularization strategies that extend classical ridge- and lasso-type penalties to neural network…

机器学习 · 统计学 2026-05-04 Muhammad Qasim , Farrukh Javed

One of the most important parts of Artificial Neural Networks is minimizing the loss functions which tells us how good or bad our model is. To minimize these losses we need to tune the weights and biases. Also to calculate the minimum value…

机器学习 · 计算机科学 2021-01-08 Kaustubh Yadav

Weight decay is a widely used technique for training Deep Neural Networks(DNN). It greatly affects generalization performance but the underlying mechanisms are not fully understood. Recent works show that for layers followed by…

机器学习 · 计算机科学 2021-03-30 Yucong Zhou , Yunxiao Sun , Zhao Zhong

Over-parameterized deep networks trained using gradient-based optimizers are a popular choice for solving classification and ranking problems. Without appropriately tuned $\ell_2$ regularization or weight decay, such networks have the…

机器学习 · 计算机科学 2021-08-13 Aman Gupta , Rohan Ramanath , Jun Shi , Anika Ramachandran , Sirou Zhou , Mingzhou Zhou , S. Sathiya Keerthi

In several recently proposed stochastic optimization methods (e.g. RMSProp, Adam, Adadelta), parameter updates are scaled by the inverse square roots of exponential moving averages of squared past gradients. Maintaining these per-parameter…

机器学习 · 计算机科学 2018-04-13 Noam Shazeer , Mitchell Stern

Deep neural networks have had an enormous impact on image analysis. State-of-the-art training methods, based on weight decay and DropOut, result in impressive performance when a very large training set is available. However, they tend to…

机器学习 · 计算机科学 2019-09-02 Amal Rannen Triki , Matthew B. Blaschko

Continual learning agents with finite capacity must balance acquiring new knowledge with retaining the old. This requires controlled forgetting of knowledge that is no longer needed, freeing up capacity to learn. Weight decay, viewed as a…

机器学习 · 计算机科学 2026-05-01 Aditya A. Ramesh , Alex Lewandowski , Jürgen Schmidhuber