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Catalogue Information
Field name	Details
Dewey Class	004.0151
Title	Deep Learning Architectures ([EBook]) : A Mathematical Approach / / by Ovidiu Calin.
Author	Calin, Ovidiu
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details	XXX, 760 p. 213 illus., 35 illus. in color. : online resource.
Series	Springer Series in the Data Sciences 2365-5674
ISBN	9783030367213
Summary Note	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. .:
Contents note	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. .
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-36721-3
Links to Related Works	Subject References: Computer mathematics . Computer science-Mathematics . Machine Learning . Mathematical Applications in Computer Science . Authors: author . Calin, Ovidiu . Corporate Authors: SpringerLink (Online service) . Series: Springer Series in the Data Sciences . Classification: 004.0151 . 004.0151 (DDC 23) .

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Deep Learning Architectures: A Mathematical Approach

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