Deep Neural Networks in a Mathematical Framework

Deep Neural Networks in a Mathematical Framework (SpringerBriefs in Computer Science)
By 作者: Anthony L. L. Caterini
ISBN-10 书号: 3319753037
ISBN-13 书号: 9783319753034
Edition 版本: 1st ed. 2018
Release Finelybook 出版日期: 2018-03-23
pages 页数: (100 )

Book Description to Finelybook sorting
This SpringerBrief describes how to build a rigorous end-to-end mathematical framework for deep neural networks. The authors provide tools to represent and describe neural networks, casting previous results in the field in a more natural light. In particular, the authors derive gradient descent algorithms in a unified way for several neural network structures, including multilayer perceptrons, convolutional neural networks, deep autoencoders and recurrent neural networks. Furthermore, the authors developed framework is both more concise and mathematically intuitive than previous representations of neural networks.
This SpringerBrief is one step towards unlocking the black box of Deep Learning. The authors believe that this framework will help catalyze further discoveries regarding the mathematical properties of neural networks.This SpringerBrief is accessible not only to researchers, professionals and students working and studying in the field of deep learning, but also to those outside of the neutral network community.
1.Introduction and Motivation
2.Mathematical Preliminaries
3.Generic Representation of Neural Networks
4.Specifhc Network Descriptions
5.Recurrent Neural Networks
6.Conclusion and Future Work

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