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Deep learning architecturesa mathema...

Calin, Ovidiu.

Deep learning architecturesa mathematical approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Deep learning architecturesby Ovidiu Calin.
Reminder of title:	a mathematical approach /
Author:	Calin, Ovidiu.
Published:	Cham :Springer International Publishing :2020.
Description:	xxx, 760 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Machine learningMathematics.
Online resource:	https://doi.org/10.1007/978-3-030-36721-3
ISBN:	9783030367213$q(electronic bk.)

Deep learning architecturesa mathematical approach /
Calin, Ovidiu.

Deep learning architecturesa mathematical approach /[electronic resource] :by Ovidiu Calin. - Cham :Springer International Publishing :2020. - xxx, 760 p. :ill., digital ;24 cm. - Springer series in the data sciences,2365-5674. - Springer series in the data sciences..

Introductory Problems -- Activation Functions -- Cost Functions -- Finding Minima Algorithms -- Abstract Neurons -- Neural Networks -- Approximation Theorems -- Learning with One-dimensional Inputs -- Universal Approximators -- Exact Learning -- Information Representation -- Information Capacity Assessment -- Output Manifolds -- Neuromanifolds -- Pooling -- Convolutional Networks -- Recurrent Neural Networks -- Classification -- Generative Models -- Stochastic Networks -- Hints and Solutions.

This book describes how neural networks operate from the mathematical point of view. As a result, neural networks can be interpreted both as function universal approximators and information processors. The book bridges the gap between ideas and concepts of neural networks, which are used nowadays at an intuitive level, and the precise modern mathematical language, presenting the best practices of the former and enjoying the robustness and elegance of the latter. This book can be used in a graduate course in deep learning, with the first few parts being accessible to senior undergraduates. In addition, the book will be of wide interest to machine learning researchers who are interested in a theoretical understanding of the subject.

ISBN: 9783030367213$q(electronic bk.)

Standard No.: 10.1007/978-3-030-36721-3doiSubjects--Topical Terms:

857106
Machine learning
--Mathematics.

LC Class. No.: Q325.5 / .C355 2020

Dewey Class. No.: 006.310151

Deep learning architecturesa mathematical approach /
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100 1 $a Calin, Ovidiu. $3 254090
245 1 0 $a Deep learning architectures $h [electronic resource] : $b a mathematical approach / $c by Ovidiu Calin.
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300 $a xxx, 760 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer series in the data sciences, $x 2365-5674
505 0 $a Introductory Problems -- Activation Functions -- Cost Functions -- Finding Minima Algorithms -- Abstract Neurons -- Neural Networks -- Approximation Theorems -- Learning with One-dimensional Inputs -- Universal Approximators -- Exact Learning -- Information Representation -- Information Capacity Assessment -- Output Manifolds -- Neuromanifolds -- Pooling -- Convolutional Networks -- Recurrent Neural Networks -- Classification -- Generative Models -- Stochastic Networks -- Hints and Solutions.
520 $a This book describes how neural networks operate from the mathematical point of view. As a result, neural networks can be interpreted both as function universal approximators and information processors. The book bridges the gap between ideas and concepts of neural networks, which are used nowadays at an intuitive level, and the precise modern mathematical language, presenting the best practices of the former and enjoying the robustness and elegance of the latter. This book can be used in a graduate course in deep learning, with the first few parts being accessible to senior undergraduates. In addition, the book will be of wide interest to machine learning researchers who are interested in a theoretical understanding of the subject.
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950 $a Mathematics and Statistics (Springer-11649)