Wavelets in soft computing / Marc Thuillard.

Format:

Book

Author/Creator:

Thuillard, Marc.

Series:

World Scientific series in robotics and intelligent systems ; vol. 25.

World Scientific series in robotics and intelligent systems ; vol. 25

Language:

English

Subjects (All):

Soft computing.

Wavelets (Mathematics).

Physical Description:

1 online resource (246 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; River Edge, N.J. : World Scientific, c2001.

Language Note:

English

Summary:

This book presents the state of integration of wavelet theory and multiresolution analysis into soft computing. It is the first book on hybrid methods combining wavelet analysis with fuzzy logic, neural networks or genetic algorithms. Much attention is given to new approaches (fuzzy-wavelet) that permit one to develop, using wavelet techniques, linguistically interpretable fuzzy systems from data. The book also introduces the reader to wavelet-based genetic algorithms and multiresolution search. A special place is given to methods that have been implemented in real world applications, particul

Contents:

Foreword; Contents; Acknowledgements; Part I Introduction To Wavelet Theory; 1. Introduction to Wavelet Theory; A short overview on the development of wavelet theory; Wavelet transform versus Fourier transform; The fast wavelet transform; Definition of a Multiresolution; Biorthogonal wavelets; Wavelets and subband coding; Applications; Part II Preprocessing: The Multiresolution Approach; 2. Preprocessing: The Multiresolution Approach; The double curse: dimensionality and complexity; Dimension reduction; Dimension reduction through wavelets-based projection methods

Exploratory knowledge extractionWavelets in classification; Applications of multiresolution techniques for preprocessing in soft computing; Application of multiresolution and fuzzy logic to fire detection; Part III Spline-Based Wavelets Approximation And Compression Algorithms; 3. Spline-Based Wavelets Approximation and Compression Algorithms; Spline-based wavelets; A selection of wavelet-based alrogithms for spline approximation; Part IV Automatic Generation Of A Fuzzy System With Wavelet Based Methods; 4. Automatic Generation of a Fuzzy System with Wavelet-Based Methods

Fuzzy rule-based systemsFuzzy-wavelet; Interpolation and approximation methods; Part V On-Line Learning; 5. On-Line Learning; Wavelet-based neural networks; Dyadic wavelet networks or wavenets; Fuzzy wavenets; Part VI Nonparametric Wavelet-Based Estimation And Regression Techniques; 6. Nonparametric Wavelet-Based Estimation and Regression Techniques; Nonparametric regression and estimation techniques; Smoothing splines; Wavelet estimators; Fuzzy wavelet estimators; Part VII Developing Intelligent Products; 7. Developing Intelligent Products; Transparency; Man sensors and computer intelligence

Constructive modelingPart VIII Genetic Algorithms And Multiresolution; 8. The standard genetic algorithm; Walsh functions and genetic algorithms; Wavelet-based genetic algorithms; Multiresolution search; Annexes Lifting Scheme Nonlinear Wavelets; Annexes; Lifting Scheme; Nonlinear wavelets; References; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 209-219) and index.

ISBN:

9786611960490

9781281960498

1281960497

9789812811332

9812811338

OCLC:

879024013