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We introduceDropDim, a structured dropout method designed for regularizing the self-attention mechanism, which is a key component of the transformer. In contrast to the general dropout method, which randomly drops neurons, DropDim drops…

Computation and Language · Computer Science 2023-04-21 Hao Zhang , Dan Qu , Keji Shao , Xukui Yang

Dropout is used as a practical tool to obtain uncertainty estimates in large vision models and reinforcement learning (RL) tasks. But to obtain well-calibrated uncertainty estimates, a grid-search over the dropout probabilities is necessary…

Machine Learning · Statistics 2017-05-23 Yarin Gal , Jiri Hron , Alex Kendall

Mirror descent with an entropic regularizer is known to achieve shifting regret bounds that are logarithmic in the dimension. This is done using either a carefully designed projection or by a weight sharing technique. Via a novel unified…

Machine Learning · Computer Science 2012-09-28 Nicolò Cesa-Bianchi , Pierre Gaillard , Gabor Lugosi , Gilles Stoltz

The success of the machine learning field has reliably depended on training on large datasets. While effective, this trend comes at an extraordinary cost. This is due to two deeply intertwined factors: the size of models and the size of…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Shriram M Sathiyanarayanan , Xinyue Hao , Shihao Hou , Yang Lu , Laura Sevilla-Lara , Anurag Arnab , Shreyank N Gowda

Grokking refers to a delayed generalization following overfitting when optimizing artificial neural networks with gradient-based methods. In this work, we demonstrate that grokking can be induced by regularization, either explicit or…

Machine Learning · Computer Science 2025-07-14 Pascal Jr Tikeng Notsawo , Guillaume Dumas , Guillaume Rabusseau

Envelope methods perform dimension reduction of predictors or responses in multivariate regression, exploiting the relationship between them to improve estimation efficiency. While most research on envelopes has focused on their estimation…

Methodology · Statistics 2025-01-22 Tate Jacobson , Oh-Ran Kwon

A major challenge in training deep neural networks is overfitting, i.e. inferior performance on unseen test examples compared to performance on training examples. To reduce overfitting, stochastic regularization methods have shown superior…

Neural and Evolutionary Computing · Computer Science 2018-04-24 Najeeb Khan , Jawad Shah , Ian Stavness

Deep neural networks often consist of a great number of trainable parameters for extracting powerful features from given datasets. On one hand, massive trainable parameters significantly enhance the performance of these deep networks. On…

Machine Learning · Computer Science 2020-02-26 Yehui Tang , Yunhe Wang , Yixing Xu , Boxin Shi , Chao Xu , Chunjing Xu , Chang Xu

Dropout regularization has been widely used in deep learning but performs less effective for convolutional neural networks since the spatially correlated features allow dropped information to still flow through the networks. Some structured…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Hui Zhu , Xiaofang Zhao

We investigate the statistical behavior of gradient descent iterates with dropout in the linear regression model. In particular, non-asymptotic bounds for the convergence of expectations and covariance matrices of the iterates are derived.…

Statistics Theory · Mathematics 2025-03-19 Gabriel Clara , Sophie Langer , Johannes Schmidt-Hieber

Dropout is a standard training technique for neural networks that consists of randomly deactivating units at each step of their gradient-based training. It is known to improve performance in many settings, including in the large-scale…

Machine Learning · Computer Science 2025-10-10 Lénaïc Chizat , Pierre Marion , Yerkin Yesbay

How to obtain the desirable representation of a 3D shape is a key challenge in 3D shape retrieval task. Most existing 3D shape retrieval methods focus on capturing shape representation with different neural network architectures, while the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Zhaoqun Li

In order to develop complex relationships between their inputs and outputs, deep neural networks train and adjust large number of parameters. To make these networks work at high accuracy, vast amounts of data are needed. Sometimes, however,…

Machine Learning · Computer Science 2022-01-19 Joshua Shunk

We investigate the convergence and convergence rate of stochastic training algorithms for Neural Networks (NNs) that have been inspired by Dropout (Hinton et al., 2012). With the goal of avoiding overfitting during training of NNs, dropout…

Optimization and Control · Mathematics 2023-03-24 Albert Senen-Cerda , Jaron Sanders

Envelope methodology is succinctly pitched as a class of procedures for increasing efficiency in multivariate analyses without altering traditional objectives \citep[first sentence of page 1]{cook2018introduction}. This description is true…

Methodology · Statistics 2020-02-05 Daniel J. Eck

Overparameterized models may have many interpolating solutions; implicit regularization refers to the hidden preference of a particular optimization method towards a certain interpolating solution among the many. A by now established line…

Machine Learning · Computer Science 2024-09-18 Hung-Hsu Chou , Holger Rauhut , Rachel Ward

Regularization and data augmentation methods have been widely used and become increasingly indispensable in deep learning training. Researchers who devote themselves to this have considered various possibilities. But so far, there has been…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Xuan Cheng , Tianshu Xie , Xiaomin Wang , Jiali Deng , Minghui Liu , Ming Liu

Dropout is a popular technique for regularizing artificial neural networks. Dropout networks are generally trained by minibatch gradient descent with a dropout mask turning off some of the units---a different pattern of dropout is applied…

Neural and Evolutionary Computing · Computer Science 2015-02-10 Ben Graham , Jeremy Reizenstein , Leigh Robinson

Normalization methods such as batch [Ioffe and Szegedy, 2015], weight [Salimansand Kingma, 2016], instance [Ulyanov et al., 2016], and layer normalization [Baet al., 2016] have been widely used in modern machine learning. Here, we study the…

Machine Learning · Computer Science 2022-08-31 Xiaoxia Wu , Edgar Dobriban , Tongzheng Ren , Shanshan Wu , Zhiyuan Li , Suriya Gunasekar , Rachel Ward , Qiang Liu

A lot of theoretical and empirical evidence shows that the flatter local minima tend to improve generalization. Adversarial Weight Perturbation (AWP) is an emerging technique to efficiently and effectively find such minima. In AWP we…

Machine Learning · Computer Science 2023-02-21 Yihan Wu , Aleksandar Bojchevski , Heng Huang
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