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Deep Neural Networks in a Mathematical Framework

SpringerBriefs in Computer Science

Format: Paperback / softback
Publisher: Springer International Publishing AG, Cham, Switzerland
Published: 3rd Apr 2018
Dimensions: w 156mm h 234mm d 5mm
Weight: 154g
ISBN-10: 3319753037
ISBN-13: 9783319753034
Barcode No: 9783319753034
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Synopsis
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.

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