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We consider the problem of designing models to leverage a recently introduced approximate model averaging technique called dropout. We define a simple new model called maxout (so named because its output is the max of a set of inputs, and…

Machine Learning · Statistics 2013-09-23 Ian J. Goodfellow , David Warde-Farley , Mehdi Mirza , Aaron Courville , Yoshua Bengio

It is important to understand how dropout, a popular regularization method, aids in achieving a good generalization solution during neural network training. In this work, we present a theoretical derivation of an implicit regularization of…

Machine Learning · Computer Science 2023-04-11 Zhongwang Zhang , Zhi-Qin John Xu

The cross-entropy loss commonly used in deep learning is closely related to the defining properties of optimal representations, but does not enforce some of the key properties. We show that this can be solved by adding a regularization…

Machine Learning · Statistics 2017-02-14 Alessandro Achille , Stefano Soatto

Dropout has proven to be an effective technique for regularization and preventing the co-adaptation of neurons in deep neural networks (DNN). It randomly drops units with a probability $p$ during the training stage of DNN. Dropout also…

Machine Learning · Computer Science 2018-08-30 Zongjie Ma , Abdul Sattar , Jun Zhou , Qingliang Chen , Kaile Su

Recently, dropout has seen increasing use in deep learning. For deep convolutional neural networks, dropout is known to work well in fully-connected layers. However, its effect in convolutional and pooling layers is still not clear. This…

Machine Learning · Computer Science 2015-12-02 Haibing Wu , Xiaodong Gu

Unsupervised neural networks, such as restricted Boltzmann machines (RBMs) and deep belief networks (DBNs), are powerful tools for feature selection and pattern recognition tasks. We demonstrate that overfitting occurs in such models just…

Machine Learning · Computer Science 2017-02-20 Baiyang Wang , Diego Klabjan

Introduced by Hinton et al. in 2012, dropout has stood the test of time as a regularizer for preventing overfitting in neural networks. In this study, we demonstrate that dropout can also mitigate underfitting when used at the start of…

Machine Learning · Computer Science 2023-06-01 Zhuang Liu , Zhiqiu Xu , Joseph Jin , Zhiqiang Shen , Trevor Darrell

Using a large number of parameters , deep neural networks have achieved remarkable performance on computer vison and natural language processing tasks. However the networks usually suffer from overfitting by using too much parameters.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Zhengsu Chen Jianwei Niu Qi Tian

Neural networks are more expressive when they have multiple layers. In turn, conventional training methods are only successful if the depth does not lead to numerical issues such as exploding or vanishing gradients, which occur less…

Machine Learning · Computer Science 2022-06-07 Carles Riera , Camilo Rey , Thiago Serra , Eloi Puertas , Oriol Pujol

We present a probabilistic variant of the recently introduced maxout unit. The success of deep neural networks utilizing maxout can partly be attributed to favorable performance under dropout, when compared to rectified linear units. It…

Machine Learning · Statistics 2014-02-20 Jost Tobias Springenberg , Martin Riedmiller

Dropout is a widely used regularization technique in deep learning, but its effects are typically realized through stochastic masking rather than explicit optimization objectives. We propose a deterministic formulation that expresses…

Machine Learning · Computer Science 2026-04-23 Vidhi Agrawal , Illia Oleksiienko , Alexandros Iosifidis

Dropout methods are a family of stochastic techniques used in neural network training or inference that have generated significant research interest and are widely used in practice. They have been successfully applied in neural network…

Neural and Evolutionary Computing · Computer Science 2020-06-09 Alex Labach , Hojjat Salehinejad , Shahrokh Valaee

Deep learning models frequently exploit spurious features in training data to achieve low training error, often resulting in poor generalization when faced with shifted testing distributions. To address this issue, various methods from…

Machine Learning · Computer Science 2025-02-11 Geraldin Nanfack , Eugene Belilovsky

Underpinning the success of deep learning is effective regularizations that allow a variety of priors in data to be modeled. For example, robustness to adversarial perturbations, and correlations between multiple modalities. However, most…

Machine Learning · Computer Science 2020-06-16 Mao Li , Yingyi Ma , Xinhua Zhang

Convolutional neural networks are capable of learning powerful representational spaces, which are necessary for tackling complex learning tasks. However, due to the model capacity required to capture such representations, they are often…

Computer Vision and Pattern Recognition · Computer Science 2017-11-30 Terrance DeVries , Graham W. Taylor

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…

Computer Vision and Pattern Recognition · Computer Science 2018-07-13 Alex Hernández-García , Peter König

Regularizers help deep neural networks prevent feature co-adaptations. Dropout, as a commonly used regularization technique, stochastically disables neuron activations during network optimization. However, such complete feature disposal can…

Machine Learning · Computer Science 2022-01-25 Tiange Xiang , Chaoyi Zhang , Yang Song , Siqi Liu , Hongliang Yuan , Weidong Cai

We introduce dropout compaction, a novel method for training feed-forward neural networks which realizes the performance gains of training a large model with dropout regularization, yet extracts a compact neural network for run-time…

Machine Learning · Statistics 2017-05-25 Yotaro Kubo , George Tucker , Simon Wiesler

We investigate the capacity control provided by dropout in various machine learning problems. First, we study dropout for matrix completion, where it induces a data-dependent regularizer that, in expectation, equals the weighted trace-norm…

Machine Learning · Computer Science 2020-03-10 Raman Arora , Peter Bartlett , Poorya Mianjy , Nathan Srebro

Overfitting is a well-known issue extending even to state-of-the-art (SOTA) Machine Learning (ML) models, resulting in reduced generalization, and a significant train-test performance gap. Mitigation measures include a combination of…

Machine Learning · Computer Science 2025-05-29 Shreyas Gururaj , Lars Grüne , Wojciech Samek , Sebastian Lapuschkin , Leander Weber