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软计算中的小波(第二版) Wavelets In Soft Computing


基本信息

Format Hardback | 320 pages

Dimensions 169.93 x 244.09 x 19.05mm | 707.6g

Publication date 31 Oct 2022

Publisher World Scientific Publishing Co Pte Ltd

Edition Statement Second Edition

ISBN10 9811263981

ISBN13 9789811263989

页面参数仅供参考,具体以实物为准


书籍简介

这个综合汇编为许多多分辨率技术提供了一个快速有效的切入点,并促进了从一个想法到一个实际项目的过渡。它侧重于在多分辨率框架内结合几种软计算技术(模糊逻辑、神经网络、遗传算法)的方法。


通过大量生动的例子说明,这本有用的书为读者提供了要的理论背景以决定哪些方法适合他/她的需要。


增加了多分辨率分析的新材料和应用,包括值得注意的研究课题,如深度学习、图和网络分析。


The comprehensive compendium furnishes a quick and efficient entry point to many multiresolution techniques and facilitates the transition from an idea into a real project. It focuses on methods combining several soft computing techniques (fuzzy logic, neural networks, genetic algorithms) in a multiresolution framework.


Illustrated with numerous vivid examples, this useful volume gives the reader the necessary theoretical background to decide which methods suit his/her needs.


New materials and applications for multiresolution analysis are added, including notable research topics such as deep learning, graphs, and network analysis.


作者简介

By (author): Marc Thuillard (Belimo Automation AG, Switzerland)


目录

Foreword

Introduction to the Second Edition

Introduction to Wavelet Theory:

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

Preprocessing: The Multiresolution Approach:

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 Approximation and Compression Algorithms:

Spline-Based Wavelets

A Selection of Wavelet-Based Algorithms for Spline Approximation

Automatic Generation of a Fuzzy System with Wavelet-Based Methods and Spline-Based Wavelets:

Fuzzy Rule-Based Systems

Type-2 Fuzzy Systems

Interpolation, Extrapolation, and Approximation Methods

Fuzzy Wavelet

Soft Computing Approach to Fuzzy Wavelet Transform

Nonparametric Wavelet-Based Estimation and Regression Techniques:

Introduction

Smoothing Splines

Wavelet Estimators

Wavelet Methods for Curve Estimation

Fuzzy Wavelet Estimators

Hybrid Neural Networks:

Neuro-Fuzzy Modeling

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

Multiresolution and Deep Neural Networks:

Introduction

Convolutional Neural Networks (CNN) and Multiresolution

Generative Adversarial Networks (GAN)

U-Nets and Multiresolution

Fuzzy Logic in Deep Learning

Developing Intelligent Sensors with Fuzzy Logic and Multiresolution Analysis:

Application of Multiresolution and Fuzzy Logic to Fire Detection

Transparency

Man, Sensors, and Computer Intelligence

Constructive Modeling

From a Sensor to a Smart Sensor Network with Multicriteria Decisions

Multiresolution and Wavelets in Graphs, Trees, and Networks:

Wavelet Decomposition on a Graph

Treelet

Phylogenetic Trees and Networks

Multiresolution Approach to Phylogeny

Applications to Phylogeography

Continuous Characters: Classification of Galaxies

Outlook

Genetic Algorithms and Multiresolution:

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

Annexes:

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 (Outerplanar Networks)

Index

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