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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

Convolutional Neural Networks (CNNs) filter the input data using spatial convolution operators with compact stencils. Commonly, the convolution operators couple features from all channels, which leads to immense computational cost in the…

Machine Learning · Computer Science 2019-05-17 Jonathan Ephrath , Lars Ruthotto , Eldad Haber , Eran Treister

Residual networks are the current state of the art on ImageNet. Similar work in the direction of utilizing shortcut connections has been done extremely recently with derivatives of residual networks and with highway networks. This work…

Computer Vision and Pattern Recognition · Computer Science 2017-01-11 Brian Chu , Daylen Yang , Ravi Tadinada

In this effort, we propose a new deep architecture utilizing residual blocks inspired by implicit discretization schemes. As opposed to the standard feed-forward networks, the outputs of the proposed implicit residual blocks are defined as…

Machine Learning · Computer Science 2021-02-23 Viktor Reshniak , Clayton Webster

Gradient-based methods for the distributed training of residual networks (ResNets) typically require a forward pass of the input data, followed by back-propagating the error gradient to update model parameters, which becomes time-consuming…

Machine Learning · Computer Science 2021-12-13 Qi Sun , Hexin Dong , Zewei Chen , Jiacheng Sun , Zhenguo Li , Bin Dong

Residual neural networks (ResNets) are a promising class of deep neural networks that have shown excellent performance for a number of learning tasks, e.g., image classification and recognition. Mathematically, ResNet architectures can be…

Optimization and Control · Mathematics 2019-07-26 S. Günther , L. Ruthotto , J. B. Schroder , E. C. Cyr , N. R. Gauger

Learned inverse problem solvers exhibit remarkable performance in applications like image reconstruction tasks. These data-driven reconstruction methods often follow a two-step scheme. First, one trains the often neural network-based…

Deep Residual Networks present a premium in performance in comparison to conventional networks of the same depth and are trainable at extreme depths. It has recently been shown that Residual Networks behave like ensembles of relatively…

Computer Vision and Pattern Recognition · Computer Science 2016-11-09 Etai Littwin , Lior Wolf

We present a new multilevel minimization framework for the training of deep residual networks (ResNets), which has the potential to significantly reduce training time and effort. Our framework is based on the dynamical system's viewpoint,…

Machine Learning · Computer Science 2020-04-15 Lisa Gaedke-Merzhäuser , Alena Kopaničáková , Rolf Krause

The residual neural network (ResNet) is a popular deep network architecture which has the ability to obtain high-accuracy results on several image processing problems. In order to analyze the behavior and structure of ResNet, recent work…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Linan Zhang , Hayden Schaeffer

In this work, we propose "Residual Attention Network", a convolutional neural network using attention mechanism which can incorporate with state-of-art feed forward network architecture in an end-to-end training fashion. Our Residual…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Fei Wang , Mengqing Jiang , Chen Qian , Shuo Yang , Cheng Li , Honggang Zhang , Xiaogang Wang , Xiaoou Tang

We develop new theoretical results on matrix perturbation to shed light on the impact of architecture on the performance of a deep network. In particular, we explain analytically what deep learning practitioners have long observed…

Machine Learning · Computer Science 2022-12-06 Rudolf H. Riedi , Randall Balestriero , Richard G. Baraniuk

Residual networks (ResNets) have been utilized for various computer vision and image processing applications. The residual connection improves the training of the network with better gradient flow. A residual block consists of few…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Satya Rajendra Singh , Roshan Reddy Yedla , Shiv Ram Dubey , Rakesh Sanodiya , Wei-Ta Chu

Convolutional networks are large linear systems divided into layers and connected by non-linear units. These units are the "articulations" that allow the network to adapt to the input. To understand how a network manages to solve a problem…

Computer Vision and Pattern Recognition · Computer Science 2019-11-15 Pablo Navarrete Michelini , Hanwen Liu , Yunhua Lu , Xingqun Jiang

We perform an empirical study of the behaviour of deep networks when fully linearizing some of its feature channels through a sparsity prior on the overall number of nonlinear units in the network. In experiments on image classification and…

Machine Learning · Computer Science 2023-06-02 Christian H. X. Ali Mehmeti-Göpel , Jan Disselhoff

Deep residual networks have recently shown appealing performance on many challenging computer vision tasks. However, the original residual structure still has some defects making it difficult to converge on very deep networks. In this…

Computer Vision and Pattern Recognition · Computer Science 2016-05-31 Falong Shen , Gang Zeng

Residual networks (ResNets) are a deep learning architecture that substantially improved the state of the art performance in certain supervised learning tasks. Since then, they have received continuously growing attention. ResNets have a…

Machine Learning · Computer Science 2020-03-02 Johannes Müller

While training error of most deep neural networks degrades as the depth of the network increases, residual networks appear to be an exception. We show that the main reason for this is the Lyapunov stability of the gradient descent…

Machine Learning · Computer Science 2018-03-23 Kamil Nar , Shankar Sastry

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

The trend towards increasingly deep neural networks has been driven by a general observation that increasing depth increases the performance of a network. Recently, however, evidence has been amassing that simply increasing depth may not be…

Computer Vision and Pattern Recognition · Computer Science 2016-12-01 Zifeng Wu , Chunhua Shen , Anton van den Hengel