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Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, they are often treated as black-box models and as such it is difficult to understand what exactly they learn as well as…

Machine Learning · Computer Science 2022-12-13 Cheng Wang , Carolin Lawrence , Mathias Niepert

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…

Machine Learning · Computer Science 2019-09-02 Amal Rannen Triki , Matthew B. Blaschko

Dropout is a simple but efficient regularization technique for achieving better generalization of deep neural networks (DNNs); hence it is widely used in tasks based on DNNs. During training, dropout randomly discards a portion of the…

Neural and Evolutionary Computing · Computer Science 2020-10-22 Hiroshi Inoue

In this paper we consider the training of single hidden layer neural networks by pseudoinversion, which, in spite of its popularity, is sometimes affected by numerical instability issues. Regularization is known to be effective in such…

Neural and Evolutionary Computing · Computer Science 2015-08-26 Rossella Cancelliere , Mario Gai , Patrick Gallinari , Luca Rubini

Regularization techniques such as $\mathcal{L}_1$ and $\mathcal{L}_2$ regularizers are effective in sparsifying neural networks (NNs). However, to remove a certain neuron or channel in NNs, all weight elements related to that neuron or…

Machine Learning · Computer Science 2023-05-31 Ali Haisam Muhammad Rafid , Adrian Sandu

Neural network structures have a critical impact on the accuracy and stability of forecasting. Neural architecture search procedures help design an optimal neural network according to some loss function, which represents a set of quality…

Machine Learning · Computer Science 2024-06-21 Mark Potanin , Kirill Vayser , Vadim Strijov

Recurrent Neural Networks (RNNs) with Long Short-Term Memory units (LSTM) are widely used because they are expressive and are easy to train. Our interest lies in empirically evaluating the expressiveness and the learnability of LSTMs in the…

Neural and Evolutionary Computing · Computer Science 2015-11-24 Wojciech Zaremba , Ilya Sutskever

Learning long term dependencies in recurrent networks is difficult due to vanishing and exploding gradients. To overcome this difficulty, researchers have developed sophisticated optimization techniques and network architectures. In this…

Neural and Evolutionary Computing · Computer Science 2015-04-09 Quoc V. Le , Navdeep Jaitly , Geoffrey E. Hinton

Deep neural networks have shown remarkable performance across a wide range of vision-based tasks, particularly due to the availability of large-scale datasets for training and better architectures. However, data seen in the real world are…

Machine Learning · Computer Science 2018-11-26 Muhammad Usama , Dong Eui Chang

This review aims to conduct a comparative analysis of liquid neural networks (LNNs) and traditional recurrent neural networks (RNNs) and their variants, such as long short-term memory networks (LSTMs) and gated recurrent units (GRUs). The…

Machine Learning · Computer Science 2025-10-10 Shilong Zong , Alex Bierly , Almuatazbellah Boker , Hoda Eldardiry

Continual learning on sequential data is critical for many machine learning (ML) deployments. Unfortunately, LSTM networks, which are commonly used to learn on sequential data, suffer from catastrophic forgetting and are limited in their…

Machine Learning · Computer Science 2023-05-30 Ketaki Joshi , Raghavendra Pradyumna Pothukuchi , Andre Wibisono , Abhishek Bhattacharjee

Recurrent neural networks for language models like long short-term memory (LSTM) have been utilized as a tool for modeling and predicting long term dynamics of complex stochastic molecular systems. Recently successful examples on learning…

Artificial Intelligence · Computer Science 2021-07-15 Wenqi Zeng , Siqin Cao , Xuhui Huang , Yuan Yao

An important problem in training deep networks with high capacity is to ensure that the trained network works well when presented with new inputs outside the training dataset. Dropout is an effective regularization technique to boost the…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Mostafa Rahmani , George Atia

Random Matrix Theory (RMT) is applied to analyze the weight matrices of Deep Neural Networks (DNNs), including both production quality, pre-trained models such as AlexNet and Inception, and smaller models trained from scratch, such as…

Machine Learning · Computer Science 2019-01-25 Charles H. Martin , Michael W. Mahoney

This paper explores the incorporation of Tikhonov regularization into the least squares approximation scheme using trigonometric polynomials on the unit circle. This approach encompasses interpolation and hyperinterpolation as specific…

Numerical Analysis · Mathematics 2025-05-26 Congpei An , Mou Cai

Dropout is a widely used regularization technique which improves the generalization ability of a model by randomly dropping neurons. In light of this, we propose Dropout Prompt Learning, which aims for applying dropout to improve the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Biao Chen , Lin Zuo , Mengmeng Jing , Kunbin He , Yuchen Wang

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

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

This is a tutorial paper on Recurrent Neural Network (RNN), Long Short-Term Memory Network (LSTM), and their variants. We start with a dynamical system and backpropagation through time for RNN. Then, we discuss the problems of gradient…

Machine Learning · Computer Science 2023-04-25 Benyamin Ghojogh , Ali Ghodsi

We introduce Noise Injection Node Regularization (NINR), a method of injecting structured noise into Deep Neural Networks (DNN) during the training stage, resulting in an emergent regularizing effect. We present theoretical and empirical…

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