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Scaling up network depth is a fundamental pursuit in neural architecture design, as theory suggests that deeper models offer exponentially greater capability. Benefiting from the residual connections, modern neural networks can scale up to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Dongchen Han , Tianzhu Ye , Zhuofan Xia , Kaiyi Chen , Yulin Wang , Hanting Chen , Gao Huang

Deep learning demonstrated major abilities in solving many kinds of different real-world problems in computer vision literature. However, they are still strained by simple reasoning tasks that humans consider easy to solve. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2021-01-25 Nicola Messina , Giuseppe Amato , Fabio Carrara , Claudio Gennaro , Fabrizio Falchi

Deep neural networks have become invaluable tools for supervised machine learning, e.g., classification of text or images. While often offering superior results over traditional techniques and successfully expressing complicated patterns in…

Machine Learning · Computer Science 2019-02-19 Eldad Haber , Lars Ruthotto

Residual Network (ResNet) is the state-of-the-art architecture that realizes successful training of really deep neural network. It is also known that good weight initialization of neural network avoids problem of vanishing/exploding…

Machine Learning · Computer Science 2017-10-16 Masato Taki

With the advent of deep learning, the number of works proposing new methods or improving existent ones has grown exponentially in the last years. In this scenario, "very deep" models were emerging, once they were expected to extract more…

Artificial Intelligence · Computer Science 2021-01-19 Mateus Roder , Leandro A. Passos , Luiz Carlos Felix Ribeiro , Clayton Pereira , João Paulo Papa

Skip connections made the training of very deep networks possible and have become an indispensable component in a variety of neural architectures. A completely satisfactory explanation for their success remains elusive. Here, we present a…

Neural and Evolutionary Computing · Computer Science 2018-03-06 A. Emin Orhan , Xaq Pitkow

Residual connections remain ubiquitous in modern neural network architectures nearly a decade after their introduction. Their widespread adoption is often credited to their dramatically improved trainability: residual networks train faster,…

Machine Learning · Computer Science 2025-06-18 Christian H. X. Ali Mehmeti-Göpel , Michael Wand

Residual Network (ResNet) is undoubtedly a milestone in deep learning. ResNet is equipped with shortcut connections between layers, and exhibits efficient training using simple first order algorithms. Despite of the great empirical success,…

Machine Learning · Computer Science 2019-11-05 Tianyi Liu , Minshuo Chen , Mo Zhou , Simon S. Du , Enlu Zhou , Tuo Zhao

While deeper convolutional networks are needed to achieve maximum accuracy in visual perception tasks, for many inputs shallower networks are sufficient. We exploit this observation by learning to skip convolutional layers on a per-input…

Computer Vision and Pattern Recognition · Computer Science 2018-07-26 Xin Wang , Fisher Yu , Zi-Yi Dou , Trevor Darrell , Joseph E. Gonzalez

The Spiking Neural Network (SNN) is a biologically inspired neural network infrastructure that has recently garnered significant attention. It utilizes binary spike activations to transmit information, thereby replacing multiplications with…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Yufei Guo , Yuanpei Chen , Zecheng Hao , Weihang Peng , Zhou Jie , Yuhan Zhang , Xiaode Liu , Zhe Ma

We describe an alternative learning method for neural networks, which we call Blind Descent. By design, Blind Descent does not face problems like exploding or vanishing gradients. In Blind Descent, gradients are not used to guide the…

Machine Learning · Computer Science 2020-08-27 Akshat Gupta , Prasad N R

Improving existing neural network architectures can involve several design choices such as manipulating the loss functions, employing a diverse learning strategy, exploiting gradient evolution at training time, optimizing the network…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Danilo Avola , Luigi Cinque , Alessio Fagioli , Gian Luca Foresti

The residual network is now one of the most effective structures in deep learning, which utilizes the skip connections to ``guarantee" the performance will not get worse. However, the non-convexity of the neural network makes it unclear…

Machine Learning · Computer Science 2020-06-11 Lifu Wang , Bo Shen , Ning Zhao , Zhiyuan Zhang

Herein the topics of (natural) gradient descent, data decorrelation, and approximate methods for backpropagation are brought into a common discussion. Natural gradient descent illuminates how gradient vectors, pointing at directions of…

Machine Learning · Computer Science 2025-08-26 Nasir Ahmad

Despite their unmatched performance, deep neural networks remain susceptible to targeted attacks by nearly imperceptible levels of adversarial noise. While the underlying cause of this sensitivity is not well understood, theoretical…

Machine Learning · Computer Science 2020-12-01 George Cazenavette , Calvin Murdock , Simon Lucey

Although deep learning has shown its powerful performance in many applications, the mathematical principles behind neural networks are still mysterious. In this paper, we consider the problem of learning a one-hidden-layer neural network…

Machine Learning · Computer Science 2019-07-17 Shuhao Xia , Yuanming Shi

This paper introduces a new architectural framework, known as input fast-forwarding, that can enhance the performance of deep networks. The main idea is to incorporate a parallel path that sends representations of input values forward to…

Computer Vision and Pattern Recognition · Computer Science 2017-05-25 Ahmed Ibrahim , A. Lynn Abbott , Mohamed E. Hussein

The behavior of the gradient descent (GD) algorithm is analyzed for a deep neural network model with skip-connections. It is proved that in the over-parametrized regime, for a suitable initialization, with high probability GD can find a…

Machine Learning · Computer Science 2019-04-16 Weinan E , Chao Ma , Qingcan Wang , Lei Wu

There is plenty of theoretical and empirical evidence that depth of neural networks is a crucial ingredient for their success. However, network training becomes more difficult with increasing depth and training of very deep networks remains…

Machine Learning · Computer Science 2015-11-04 Rupesh Kumar Srivastava , Klaus Greff , Jürgen Schmidhuber

Vanishing (and exploding) gradients effect is a common problem for recurrent neural networks with nonlinear activation functions which use backpropagation method for calculation of derivatives. Deep feedforward neural networks with many…

Neural and Evolutionary Computing · Computer Science 2017-02-15 Artem Chernodub , Dimitri Nowicki