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Residual networks (Resnets) have become a prominent architecture in deep learning. However, a comprehensive understanding of Resnets is still a topic of ongoing research. A recent view argues that Resnets perform iterative refinement of…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Stanisław Jastrzębski , Devansh Arpit , Nicolas Ballas , Vikas Verma , Tong Che , Yoshua Bengio

In this article, we take one step toward understanding the learning behavior of deep residual networks, and supporting the observation that deep residual networks behave like ensembles. We propose a new convolutional neural network…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Masoud Abdi , Saeid Nahavandi

We regard pre-trained residual networks (ResNets) as nonlinear systems and use linearization, a common method used in the qualitative analysis of nonlinear systems, to understand the behavior of the networks under small perturbations of the…

Machine Learning · Computer Science 2019-06-03 Kai Rothauge , Zhewei Yao , Zixi Hu , Michael W. Mahoney

In this work we propose a novel interpretation of residual networks showing that they can be seen as a collection of many paths of differing length. Moreover, residual networks seem to enable very deep networks by leveraging only the short…

Computer Vision and Pattern Recognition · Computer Science 2016-10-28 Andreas Veit , Michael Wilber , Serge Belongie

Deep residual networks have emerged as a family of extremely deep architectures showing compelling accuracy and nice convergence behaviors. In this paper, we analyze the propagation formulations behind the residual building blocks, which…

Computer Vision and Pattern Recognition · Computer Science 2016-07-26 Kaiming He , Xiangyu Zhang , Shaoqing Ren , Jian Sun

We analyze the input-output behavior of residual networks from a dynamical system point of view by disentangling the residual dynamics from the output activities before the classification stage. For a network with simple skip connections…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Fereshteh Lagzi

Deep residual networks were shown to be able to scale up to thousands of layers and still have improving performance. However, each fraction of a percent of improved accuracy costs nearly doubling the number of layers, and so training very…

Computer Vision and Pattern Recognition · Computer Science 2017-06-15 Sergey Zagoruyko , Nikos Komodakis

Deep neural networks are highly expressive machine learning models with the ability to interpolate arbitrary datasets. Deep nets are typically optimized via first-order methods and the optimization process crucially depends on the…

Machine Learning · Statistics 2019-11-12 Talha Cihad Gulcu

A residual-networks family with hundreds or even thousands of layers dominates major image recognition tasks, but building a network by simply stacking residual blocks inevitably limits its optimization ability. This paper proposes a novel…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Ke Zhang , Miao Sun , Tony X. Han , Xingfang Yuan , Liru Guo , Tao Liu

Although much progress has been made towards robust deep learning, a significant gap in robustness remains between real-world perturbations and more narrowly defined sets typically studied in adversarial defenses. In this paper, we aim to…

Machine Learning · Computer Science 2020-10-09 Eric Wong , J. Zico Kolter

We propose a new layer design by adding a linear gating mechanism to shortcut connections. By using a scalar parameter to control each gate, we provide a way to learn identity mappings by optimizing only one parameter. We build upon the…

Computer Vision and Pattern Recognition · Computer Science 2016-12-30 Pedro H. P. Savarese , Leonardo O. Mazza , Daniel R. Figueiredo

Very deep convolutional networks with hundreds of layers have led to significant reductions in error on competitive benchmarks. Although the unmatched expressiveness of the many layers can be highly desirable at test time, training very…

Machine Learning · Computer Science 2016-08-01 Gao Huang , Yu Sun , Zhuang Liu , Daniel Sedra , Kilian Weinberger

Various architectures (such as GoogLeNets, ResNets, and DenseNets) have been proposed. However, the existing networks usually suffer from either redundancy of convolutional layers or insufficient utilization of parameters. To handle these…

Computer Vision and Pattern Recognition · Computer Science 2020-04-27 Zhiyu Zhu , Zhen-Peng Bian , Junhui Hou , Yi Wang , Lap-Pui Chau

Residual deep neural networks (ResNets) are mathematically described as interacting particle systems. In the case of infinitely many layers the ResNet leads to a system of coupled system of ordinary differential equations known as neural…

Analysis of PDEs · Mathematics 2022-05-11 M. Herty , A. Thuenen , T. Trimborn , G. Visconti

A family of super deep networks, referred to as residual networks or ResNet, achieved record-beating performance in various visual tasks such as image recognition, object detection, and semantic segmentation. The ability to train very deep…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Xin Yu , Zhiding Yu , Srikumar Ramalingam

Augmenting neural networks with skip connections, as introduced in the so-called ResNet architecture, surprised the community by enabling the training of networks of more than 1,000 layers with significant performance gains. This paper…

Computer Vision and Pattern Recognition · Computer Science 2020-04-24 Alireza Zaeemzadeh , Nazanin Rahnavard , Mubarak Shah

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

The skip-connections used in residual networks have become a standard architecture choice in deep learning due to the increased training stability and generalization performance with this architecture, although there has been limited…

Machine Learning · Computer Science 2019-10-08 Spencer Frei , Yuan Cao , Quanquan Gu

Adversarial examples have raised several open questions, such as why they can deceive classifiers and transfer between different models. A prevailing hypothesis to explain these phenomena suggests that adversarial perturbations appear as…

Machine Learning · Computer Science 2025-01-22 Soichiro Kumano , Hiroshi Kera , Toshihiko Yamasaki

Adversarial robustness has proven to be a required property of machine learning algorithms. A key and often overlooked aspect of this problem is to try to make the adversarial noise magnitude as large as possible to enhance the benefits of…

Machine Learning · Statistics 2020-03-31 Amirreza Shaeiri , Rozhin Nobahari , Mohammad Hossein Rohban
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