图书简介

Foreword; Introduction to the Second Edition; A Short Overview of The Development of Wavelet Theory; Wavelet Transform Versus Fourier Transform; The Fast Wavelet Transform; Definition of a Multiresolution; Biorthogonal Wavelets; Wavelets and Subband Coding; Contourlets and Shearlet; Empirical Wavelet Decomposition; Applications; Recent Applications of Wavelet and Multiresolution Analysis; The Double Curse: Dimensionality and Complexity; Dimension Reduction; Karhunen-Loève Transform (Principal Components Analysis); Dimension Reduction Through Wavelet-Based Projection Methods; Exploratory Knowledge Extraction; Wavelets in Classification; Applications of Multiresolution Techniques for Preprocessing in Soft Computing; Spline-Based Wavelets; A Selection of Wavelet-Based Algorithms for Spline Approximation; Fuzzy Rule-Based Systems; Type-2 Fuzzy Systems; Interpolation, Extrapolation, and Approximation Methods; Fuzzy Wavelet; Soft Computing Approach to Fuzzy Wavelet Transform; Smoothing Splines; Wavelet Estimators; Wavelet Methods for Curve Estimation; Fuzzy Wavelet Estimators; Adaptive Neuro-Fuzzy Adaptive Systems (Anfis); Wavelet-Based Neural Networks; Extreme Learning Machines; Dyadic Wavelet Networks Or Wavenets; Wavelet-Based Fuzzy Neural Networks; Applications of Wavelet, Fuzzy Wavelet Networks, and Wavenets; Introduction; Convolutional Neural Networks (Cnn) and Multiresolution; Generative Adversarial Networks (Gan); U-Nets and Multiresolution; Fuzzy Logic in Deep Learning; Application of Multiresolution and Fuzzy Logic to Fire Detection; Transparency; Man, Sensors, and Computer Intelligence; Constructive Modeling; Wavelet Decomposition on a Graph; Treelet; Phylogenetic Trees and Networks; Multiresolution Approach to Phylogeny; Applications to Phylogeography; Continuous Characters: Classification of Galaxies; Outlook; The Standard Genetic Algorithm; Walsh Functions and Genetic Algorithms; Wavelet-Based Genetic Algorithms; Population Evolution and Deceptive Functions; Multiresolution Search; Searching for a Good Solution: How to Beat Brute Force; Swarm Intelligence; Annex A: Lifting Scheme; Introduction; Biorthogonal Spline-Wavelets Constructions with the Lifting Scheme; Annex B: Nonlinear Wavelets; Said and Pearlman Wavelets; Morphological Haar Wavelets; Annex C: Phylogenetic Trees and Networks (Outer Planar Networks)

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