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This paper proposes a novel stable learning theory for recurrent neural networks (RNNs), so-called variational adaptive noise and dropout (VAND). As stabilizing factors for RNNs, noise and dropout on the internal state of RNNs have been…

Machine Learning · Computer Science 2026-02-25 Taisuke Kobayashi , Shingo Murata

Implicit Neural Representation (INR) has emerged as an effective method for unsupervised image denoising. However, INR models are typically overparameterized; consequently, these models are prone to overfitting during learning, resulting in…

Computer Vision and Pattern Recognition · Computer Science 2024-01-04 Zipei Yan , Zhengji Liu , Jizhou Li

The capacity of deep learning models is often large enough to both learn the underlying statistical signal and overfit to noise in the training set. This noise memorization can be harmful especially for data with a low signal-to-noise ratio…

Machine Learning · Computer Science 2025-10-21 Wei Huang , Andi Han , Yujin Song , Yilan Chen , Denny Wu , Difan Zou , Taiji Suzuki

Recent work has established the equivalence between deep neural networks and Gaussian processes (GPs), resulting in so-called neural network Gaussian processes (NNGPs). The behaviour of these models depends on the initialisation of the…

Machine Learning · Computer Science 2020-07-15 Arnu Pretorius , Herman Kamper , Steve Kroon

Successful application processing sequential data, such as text and speech, requires an improved generalization performance of recurrent neural networks (RNNs). Dropout techniques for RNNs were introduced to respond to these demands, but we…

Machine Learning · Computer Science 2019-04-23 Sungrae Park , Kyungwoo Song , Mingi Ji , Wonsung Lee , Il-Chul Moon

Convolutional Neural networks (CNNs) based applications have become ubiquitous, where proper regularization is greatly needed. To prevent large neural network models from overfitting, dropout has been widely used as an efficient…

Machine Learning · Computer Science 2020-07-29 Shaofeng Cai , Yao Shu , Gang Chen , Beng Chin Ooi , Wei Wang , Meihui Zhang

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…

Machine Learning · Statistics 2013-11-04 Stefan Wager , Sida Wang , Percy Liang

Regularization plays a major role in modern deep learning. From classic techniques such as L1,L2 penalties to other noise-based methods such as Dropout, regularization often yields better generalization properties by avoiding overfitting.…

Machine Learning · Statistics 2021-06-08 Soufiane Hayou , Fadhel Ayed

We propose a new method to probe the learning mechanism of Deep Neural Networks (DNN) by perturbing the system using Noise Injection Nodes (NINs). These nodes inject uncorrelated noise via additional optimizable weights to existing…

Machine Learning · Computer Science 2023-05-03 Noam Levi , Itay Bloch , Marat Freytsis , Tomer Volansky

Deep learning based reconstruction methods deliver outstanding results for solving inverse problems and are therefore becoming increasingly important. A recently invented class of learning-based reconstruction methods is the so-called NETT…

Numerical Analysis · Mathematics 2021-11-16 Stephan Antholzer , Markus Haltmeier

Deep Neural Networks often require good regularizers to generalize well. Dropout is one such regularizer that is widely used among Deep Learning practitioners. Recent work has shown that Dropout can also be viewed as performing Approximate…

Machine Learning · Computer Science 2016-11-22 Suraj Srinivas , R. Venkatesh Babu

Recent work has shown that machine learning (ML) models can be trained to accurately forecast the dynamics of unknown chaotic dynamical systems. Short-term predictions of the state evolution and long-term predictions of the statistical…

Machine Learning · Computer Science 2022-12-13 Alexander Wikner , Joseph Harvey , Michelle Girvan , Brian R. Hunt , Andrew Pomerance , Thomas Antonsen , Edward Ott

Neural networks are usually over-parameterized with significant redundancy in the number of required neurons which results in unnecessary computation and memory usage at inference time. One common approach to address this issue is to prune…

Neural and Evolutionary Computing · Computer Science 2016-11-21 Mohammad Babaeizadeh , Paris Smaragdis , Roy H. Campbell

Retrieval-Augmented Language Models (RALMs) have demonstrated significant potential in knowledge-intensive tasks; however, they remain vulnerable to performance degradation when presented with irrelevant or noisy retrieved contexts.…

Computation and Language · Computer Science 2026-04-03 Jaemin Kim , Jae O Lee , Sumyeong Ahn , Seo Yeon Park

With the advancement of pre-trained vision-language (VL) models, enhancing the alignment between visual and linguistic modalities in downstream tasks has emerged as a critical challenge. Different from existing fine-tuning methods that add…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Sida Huang , Hongyuan Zhang , Xuelong Li

In this work, we investigate the existence and effect of percolation in training deep Neural Networks (NNs) with dropout. Dropout methods are regularisation techniques for training NNs, first introduced by G. Hinton et al. (2012). These…

Machine Learning · Computer Science 2025-12-17 Finley Devlin , Jaron Sanders

Fine-tuning is the dominant paradigm for adapting pretrained large language models (LLMs) to downstream NLP tasks. In practice, fine-tuning datasets may contain various forms of noise arising from annotation errors, preprocessing artifacts,…

Machine Learning · Computer Science 2026-04-15 Lingfang Li , Procheta Sen

Recent works have shown that on sufficiently over-parametrized neural nets, gradient descent with relatively large initialization optimizes a prediction function in the RKHS of the Neural Tangent Kernel (NTK). This analysis leads to global…

Machine Learning · Statistics 2020-04-28 Colin Wei , Jason D. Lee , Qiang Liu , Tengyu Ma

Dropout is a very effective way of regularizing neural networks. Stochastically "dropping out" units with a certain probability discourages over-specific co-adaptations of feature detectors, preventing overfitting and improving network…

Neural and Evolutionary Computing · Computer Science 2017-08-04 Pietro Morerio , Jacopo Cavazza , Riccardo Volpi , Rene Vidal , Vittorio Murino

Deep neural networks (DNNs) with noisy weights, which we refer to as noisy neural networks (NoisyNNs), arise from the training and inference of DNNs in the presence of noise. NoisyNNs emerge in many new applications, including the wireless…

Machine Learning · Computer Science 2023-07-26 Yulin Shao , Soung Chang Liew , Deniz Gunduz
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