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Various powerful deep neural network architectures have made great contribution to the exciting successes of deep learning in the past two decades. Among them, deep Residual Networks (ResNets) are of particular importance because they…

Machine Learning · Computer Science 2022-05-16 Wentao Huang , Haizhang Zhang

A residual network (or ResNet) is a standard deep neural net architecture, with state-of-the-art performance across numerous applications. The main premise of ResNets is that they allow the training of each layer to focus on fitting just…

Machine Learning · Computer Science 2018-09-28 Ohad Shamir

The fundamental concept of applying the system methodology to network analysis declares that network architecture should take into account services and applications which this network provides and supports. This work introduces a formal…

Networking and Internet Architecture · Computer Science 2015-09-03 Andrey A. Shchurov

Deep learning architectures suffer from depth-related performance degradation, limiting the effective depth of neural networks. Approaches like ResNet are able to mitigate this, but they do not completely eliminate the problem. We introduce…

Machine Learning · Computer Science 2023-11-28 Antonio Di Cecco , Carlo Metta , Marco Fantozzi , Francesco Morandin , Maurizio Parton

This paper aims to interpret the mechanism of feedforward ReLU networks by exploring their solutions for piecewise linear functions, through the deduction from basic rules. The constructed solution should be universal enough to explain some…

Machine Learning · Computer Science 2022-11-15 Changcun Huang

Based on a natural connection between ResNet and transport equation or its characteristic equation, we propose a continuous flow model for both ResNet and plain net. Through this continuous model, a ResNet can be explicitly constructed as a…

Machine Learning · Computer Science 2017-12-12 Zhen Li , Zuoqiang Shi

Teaching a computer to read and answer general questions pertaining to a document is a challenging yet unsolved problem. In this paper, we describe a novel neural network architecture called the Reasoning Network (ReasoNet) for machine…

Machine Learning · Computer Science 2017-06-21 Yelong Shen , Po-Sen Huang , Jianfeng Gao , Weizhu Chen

Residual Networks (ResNets) have become state-of-the-art models in deep learning and several theoretical studies have been devoted to understanding why ResNet works so well. One attractive viewpoint on ResNet is that it is optimizing the…

Machine Learning · Statistics 2018-07-10 Atsushi Nitanda , Taiji Suzuki

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

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

Residual connections significantly boost the performance of deep neural networks. However, there are few theoretical results that address the influence of residuals on the hypothesis complexity and the generalization ability of deep neural…

Machine Learning · Statistics 2019-04-03 Fengxiang He , Tongliang Liu , Dacheng Tao

The effectiveness of shortcut/skip-connection has been widely verified, which inspires massive explorations on neural architecture design. This work attempts to find an effective way to design new network architectures. It is discovered…

Machine Learning · Computer Science 2021-08-20 Yilin Liao , Hao Wang , Zhaoran Liu , Haozhe Li , Xinggao Liu

We propose a training formulation for ResNets reflecting an optimal control problem that is applicable for standard architectures and general loss functions. We suggest bridging both worlds via penalizing intermediate outputs of hidden…

Machine Learning · Computer Science 2025-06-27 Jens Püttschneider , Simon Heilig , Asja Fischer , Timm Faulwasser

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

Deep residual networks (ResNets) made a recent breakthrough in deep learning. The core idea of ResNets is to have shortcut connections between layers that allow the network to be much deeper while still being easy to optimize avoiding…

Computer Vision and Pattern Recognition · Computer Science 2018-04-30 Sam Leroux , Pavlo Molchanov , Pieter Simoens , Bart Dhoedt , Thomas Breuel , Jan Kautz

Interpretability is crucial for machine learning algorithms in high-stakes medical applications. However, high-performing neural networks typically cannot explain their predictions. Post-hoc explanation methods provide a way to understand…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Susu Sun , Stefano Woerner , Andreas Maier , Lisa M. Koch , Christian F. Baumgartner

Designing efficient network structures has always been the core content of neural network research. ResNet and its variants have proved to be efficient in architecture. However, how to theoretically character the influence of network…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Wenfeng Feng , Xin Zhang , Guangpeng Zhao

Because of the pervasive usage of Neural Networks in human sensitive applications, their interpretability is becoming an increasingly important topic in machine learning. In this work we introduce a simple way to interpret the output…

Machine Learning · Computer Science 2021-02-08 Stefano Zamuner , Paolo De Los Rios

Although deep networks have recently emerged as the model of choice for many computer vision problems, in order to yield good results they often require time-consuming architecture search. To combat the complexity of design choices, prior…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Karim Ahmed , Lorenzo Torresani

Neural Network is a powerful Machine Learning tool that shows outstanding performance in Computer Vision, Natural Language Processing, and Artificial Intelligence. In particular, recently proposed ResNet architecture and its modifications…

Machine Learning · Statistics 2018-11-13 Iurii Kemaev , Daniil Polykovskiy , Dmitry Vetrov
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