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Wavelets in soft computing [electronic resource]

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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

כותר Wavelets in soft computing [electronic resource] / Marc Thuillard.
מוציא לאור Singapore
River Edge, N.J. : World Scientific
שנה c2001
הערות Description based upon print version of record.
Includes bibliographical references (p. 209-219) and index.
English
הערת תוכן ותקציר 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
סדרה World Scientific series in robotics and intelligent systems
vol. 25
היקף החומר 1 online resource (246 p.)
שפה אנגלית
מספר מערכת 997010715138505171
תצוגת MARC

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