Functional Networks with Applications: A Neural-Based Paradigm

Author:   Enrique Castillo ,  Angel Cobo ,  Jose Antonio Gutierrez ,  Rosa Eva Pruneda
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1999
Volume:   473
ISBN:  

9781461375623


Pages:   309
Publication Date:   11 February 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Functional Networks with Applications: A Neural-Based Paradigm


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Overview

Artificial neural networks have been recognized as a powerful tool to learn and reproduce systems in various fields of applications. Neural net­ works are inspired by the brain behavior and consist of one or several layers of neurons, or computing units, connected by links. Each artificial neuron receives an input value from the input layer or the neurons in the previ­ ous layer. Then it computes a scalar output from a linear combination of the received inputs using a given scalar function (the activation function), which is assumed the same for all neurons. One of the main properties of neural networks is their ability to learn from data. There are two types of learning: structural and parametric. Structural learning consists of learning the topology of the network, that is, the number of layers, the number of neurons in each layer, and what neurons are connected. This process is done by trial and error until a good fit to the data is obtained. Parametric learning consists of learning the weight values for a given topology of the network. Since the neural functions are given, this learning process is achieved by estimating the connection weights based on the given information. To this aim, an error function is minimized using several well known learning methods, such as the backpropagation algorithm. Unfortunately, for these methods: (a) The function resulting from the learning process has no physical or engineering interpretation. Thus, neural networks are seen as black boxes.

Full Product Details

Author:   Enrique Castillo ,  Angel Cobo ,  Jose Antonio Gutierrez ,  Rosa Eva Pruneda
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1999
Volume:   473
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.498kg
ISBN:  

9781461375623


ISBN 10:   1461375622
Pages:   309
Publication Date:   11 February 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

I Neural Networks.- 1 Introduction to Neural Networks.- II Functional Networks.- 2 Introduction to Functional Networks.- 3 Functional Equations.- 4 Some Functional Network Models.- 5 Model Selection.- III Applications.- 6 Applications to Time Series.- 7 Applications to Differential Equations.- 8 Applications to CAD.- 9 Applications to Regression.- IV Computer Programs.- 10 Mathematica Programs.- 11 A Java Applet.- Notation.- References.

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