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Related papers: An ETF view of Dropout regularization

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Modern deep neural networks for classification usually jointly learn a backbone for representation and a linear classifier to output the logit of each class. A recent study has shown a phenomenon called neural collapse that the within-class…

Machine Learning · Computer Science 2022-10-13 Yibo Yang , Shixiang Chen , Xiangtai Li , Liang Xie , Zhouchen Lin , Dacheng Tao

Regularization for matrix factorization (MF) and approximation problems has been carried out in many different ways. Due to its popularity in deep learning, dropout has been applied also for this class of problems. Despite its solid…

Machine Learning · Computer Science 2017-10-17 Jacopo Cavazza , Pietro Morerio , Benjamin Haeffele , Connor Lane , Vittorio Murino , Rene Vidal

Dropout is designed to relieve the overfitting problem in high-level vision tasks but is rarely applied in low-level vision tasks, like image super-resolution (SR). As a classic regression problem, SR exhibits a different behaviour as…

Computer Vision and Pattern Recognition · Computer Science 2022-04-21 Xiangtao Kong , Xina Liu , Jinjin Gu , Yu Qiao , Chao Dong

Asynchronous learning protocols have regained attention lately, especially in the Federated Learning (FL) setup, where slower clients can severely impede the learning process. Herein, we propose \texttt{AsyncDrop}, a novel asynchronous FL…

Machine Learning · Computer Science 2022-10-31 Chen Dun , Mirian Hipolito , Chris Jermaine , Dimitrios Dimitriadis , Anastasios Kyrillidis

Deep learning is the state-of-the-art in fields such as visual object recognition and speech recognition. This learning uses a large number of layers, huge number of units, and connections. Therefore, overfitting is a serious problem. To…

Machine Learning · Computer Science 2017-06-22 Kazuyuki Hara , Daisuke Saitoh , Hayaru Shouno

Dropout is a well-known regularization method by sampling a sub-network from a larger deep neural network and training different sub-networks on different subsets of the data. Inspired by the dropout concept, we propose EDropout as an…

Machine Learning · Computer Science 2022-03-08 Hojjat Salehinejad , Shahrokh Valaee

This paper presents a novel approach to recurrent neural network (RNN) regularization. Differently from the widely adopted dropout method, which is applied to \textit{forward} connections of feed-forward architectures or RNNs, we propose to…

Computation and Language · Computer Science 2016-08-08 Stanislau Semeniuta , Aliaksei Severyn , Erhardt Barth

Dropout is a widely utilized regularization technique in the training of neural networks, nevertheless, its underlying mechanism and its impact on achieving good generalization abilities remain poorly understood. In this work, we derive the…

Machine Learning · Computer Science 2023-05-26 Zhongwang Zhang , Yuqing Li , Tao Luo , Zhi-Qin John Xu

Most deep architectures for image classification--even those that are trained to classify a large number of diverse categories--learn shared image representations with a single model. Intuitively, however, categories that are more similar…

Computer Vision and Pattern Recognition · Computer Science 2018-03-20 Calvin Murdock , Zhen Li , Howard Zhou , Tom Duerig

A deep neural network model is a powerful framework for learning representations. Usually, it is used to learn the relation $x \to y$ by exploiting the regularities in the input $x$. In structured output prediction problems, $y$ is…

Machine Learning · Computer Science 2017-10-31 Soufiane Belharbi , Romain Hérault , Clément Chatelain , Sébastien Adam

It is important to understand how the popular regularization method dropout helps the neural network training find a good generalization solution. In this work, we show that the training with dropout finds the neural network with a flatter…

Machine Learning · Computer Science 2022-05-24 Zhongwang Zhang , Hanxu Zhou , Zhi-Qin John Xu

Dropout and similar stochastic neural network regularization methods are often interpreted as implicitly averaging over a large ensemble of models. We propose STE (stochastically trained ensemble) layers, which enhance the averaging…

Machine Learning · Computer Science 2019-11-22 Alex Labach , Shahrokh Valaee

Among the various pre-trained neural language models that are popular today, dropout is already an indispensable regularization technique. To solve the inconsistency between training and inference caused by the randomness of dropout, some…

Computation and Language · Computer Science 2024-02-27 Shiwen Ni , Min Yang , Ruifeng Xu , Chengming Li , Xiping Hu

The recently introduced dropout training criterion for neural networks has been the subject of much attention due to its simplicity and remarkable effectiveness as a regularizer, as well as its interpretation as a training procedure for an…

Machine Learning · Statistics 2014-01-03 David Warde-Farley , Ian J. Goodfellow , Aaron Courville , Yoshua Bengio

An equiangular tight frame (ETF) is a type of optimal packing of lines in a real or complex Hilbert space. In the complex case, the existence of an ETF of a given size remains an open problem in many cases. In this paper, we observe that…

Functional Analysis · Mathematics 2018-03-21 Matthew Fickus , John Jasper

Matrix factorization (MF) and Autoencoder (AE) are among the most successful approaches of unsupervised learning. While MF based models have been extensively exploited in the graph modeling and link prediction literature, the AE family has…

Machine Learning · Computer Science 2015-12-15 Shuangfei Zhai , Zhongfei Zhang

An equiangular tight frame (ETF) is a set of unit vectors whose coherence achieves the Welch bound, and so is as incoherent as possible. They arise in numerous applications. It is well known that real ETFs are equivalent to a certain…

Functional Analysis · Mathematics 2016-01-20 Matthew Fickus , Cody E. Watson

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

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…

Machine Learning · Statistics 2023-10-03 Rahul Parhi , Robert D. Nowak

Deep unrolling, or unfolding, is an emerging learning-to-optimize method that unrolls a truncated iterative algorithm in the layers of a trainable neural network. However, the convergence guarantees and generalizability of the unrolled…

Machine Learning · Computer Science 2024-12-02 Samar Hadou , Navid NaderiAlizadeh , Alejandro Ribeiro