1.

Record Nr.

UNINA9910484905703321

Autore

Calin Ovidiu

Titolo

Deep Learning Architectures [[electronic resource] ] : A Mathematical Approach / / by Ovidiu Calin

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-36721-5

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (XXX, 760 p. 213 illus., 35 illus. in color.)

Collana

Springer Series in the Data Sciences, , 2365-5674

Disciplina

006.31

Soggetti

Computer science—Mathematics

Computer mathematics

Machine learning

Mathematical Applications in Computer Science

Machine Learning

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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. .

Sommario/riassunto

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. .