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Thuillard M. — Wavelets in Soft Computing
Thuillard M. — Wavelets in Soft Computing

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Название: Wavelets in Soft Computing

Автор: Thuillard M.

Аннотация:

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, particularly the different techniques combining fuzzy logic or neural networks with wavelet theory.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 225

Добавлена в каталог: 07.11.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Accuracy versus complexity      102
Acknowledgements      xix
and operator      99
Annexes      195
applications      26 28 33 57 143
Approximation and compression algorithms      73
Approximation coefficients      17 79 84 104 134
ASMOD      131 162
Atmospheric and oceanographic modeling      13
Auto-correlation functions      56
Automatic generation of a fuzzy system with wavelet-based methods      91
B-spline network      101
B-splines      73
B-splines interpolants      114
Battle — Lemarie wavelet      82
Bayesian estimator      142
Bellman      35
Best basis      28 43 53 54 59 83
Between-class covariance      53
Binary regression tree      56
Biorthogonal spline-wavelet      73 76 83
Biorthogonal spline-wavelets constructions with the lifting scheme      199
Biorthogonal wavelet      21 125
Biorthogonal wavelet estimator      145 152
Biorthogonality      22 25
Books on wavelet theory      ix
Brahms      6
Brown and Harris      100
Building block hypothesis      174
Cardinal B-spline      50 73 100 116
Cardiology      128
Cartesian products of univariate spline wavelets      73
Cascade of filters      14 17
Center of gravity defuzzification      100
Character recognition      57
Characteristic features in the signal      57
Characteristic function      15 74
Chemistry      57
Class separability      53
Classification      53 57 65 110 127
Classification and regression trees (CART)      55
Classification of phonemes and speaker recognition      127
Classification with local discriminant basis selection algorithms      53
Cohen-Feauveau-Daubechies biorthogonal wavelet      199
Coifman      28
Compact support      76
Compatibility between solution of different experts      159
Complementary spaces      14
Complexity and accuracy      157
Complexity issue      33
Computer assisted development      162
Computing power and memory      83 150
Condition monitoring      57
Confidence level      99
Consistency check      159
Constructive modeling      162
Contents      xiii
Continuous Fourier transform      8
Continuous wavelet transform      12
Control surface      40
Convergence      135
Convergence of heuristic random search      184
Cross-validation      134 145 150
Cubic B-spline      80
Cubic smoothing spline      143
Curse of dimensionality      33 35 36 144
Data analysis      26
Data compression      27 83
Daubechies      7 20
Daubechies, wavelet      20
Deceptive functions      183
Deceptive functions in genetic algorithm      73
Deceptivity      183
Decomposition algorithm      17 43 135
Decomposition and denoising      28 59
Decomposition and reconstruction fast wavelet decomposition and algorithms      16
Decomposition filter coefficients      25 131 135
Decomposition in terms of scaling functions fast wavelet transform      13 103
Definition of a multiresolution      20
Deformable template method      160
Degree of membershi      111
Density estimator      146
Depth of anesthesia      58
Detail coefficients      17 178
Detecting nonlinear variables interaction      49
Detectors      131
Determination of appropriate membership fitness function      173
Deterministic design      141
Developing intelligent products      153
DICTIONARY      37 44 59 93
Dictionary of membership functions      130
Dilated and translated wavelets      10
Dilation equations      14
Dilation factor      11
Dimension reduction      37 43
Discovery of non-significant variables      50
Discrete wavelet decomposition      10
Donoho      28
Dual basis      21
Dual function      10 76 148
Dyadic wavelet network      129
Dynamic programming      55
EDGE      52 204
El Nino-southern oscillation      13
Emptyregions      113
Energy conservation      24 84
entropy      28 45 55
Equivalency between B-spline modeling and generalized cross-validation      145
Estimator      143
EUFIT ix sampling probability at equilibrium      182
Evolution equation      133 135
Evolution equation for biorthogonal Haar decomposition      105
Expected distribution of schemata      179
Exploratory knowledge extraction      48
Exploratory projection pursuit      42
Extrapolation      113
Face recognition      57
FBI fingerprint      6 28
FBI fingerprint, decomposition tree      43 44
Feature extraction      65
Feature extraction, default rules      113
Feedforward neural network      127
Field testing      158
Filter coefficients      14 18
Filter coefficients for the fast wavelet Delaunay’s triangulation method      115
Filter theory      4
Filter transmission      68
Fingerprint      52
Fire      65 158
Fire detection      60
Fixed design model      144
Flame detector      64
Forecasting and prediction      129
Foreword      vii
Fourier series      6
Frame      85
Frobenius — Perron theorem      184
Functions and rules      104
Fuzzy ART model      58
Fuzzy c-mean algorithm      102
Fuzzy controller      58
Fuzzy logic ix      59 65 113 131 151 155
Fuzzy modeling      101
Fuzzy rule-based systems      93
Fuzzy rules      62 68 95 113
Fuzzy rules in the frequency domain      68
Fuzzy wavelet estimator      148 149
Fuzzy wavelet network      73
Fuzzy wavenets      125 130
Fuzzy-wavelet classifier      110
Fuzzy-waveletix      73 101 111 113 119 160
Gabor      3 9
Gaussian kernel      141
Genetic algorithms      59
Genetic algorithms and multiresolution      165
Haar function      74
Haar wavelet      12 19 49 148 171 183
Heisenberg      81
High-dimensional space      136
Human expert      107 109 130 155
Hybrid methods      60
IF-THEN rules      94
Image classification      127
Image enhancement      57
Image processing      59 129
Inappropriate variables      34
Inference mechanism      95
Infinite population approach to genetic algorithms      177
Initialization of wavelet networks      128
Interpolation      113
Interpolation and approximation methods      113
Invertible relationship between the weight space and the confidence level, space      100
JPEG      3 27
Juuso      94
K most discriminant basis functions      55
Karhunen — Loeve transform      37 45
Keeping the man in the loo      102 162
Kernel estimator      141
Knowledge fusion      159
Kullback — Leibler distance      54
Learning with fuzzy wavenets      132
Learning with wavelet-based feedforward, neural networks      135
Least squares estimator      143
Lifting scheme      136 195
Linear B-spline      80
Linear beam detector      61
Linear discriminant analysis      53
Linguistic equations      94
Linguistic interpretation      93 106 107 110 130 148 151 157
Low resolution approximation      128
Low-resolution splines      117
Mallat      88
Mamdani      93 95
Man, sensors and computer intelligence      158
Mapping preserving near neighbors      111
Matching pursuit      47 83
Matching pursuit for splines      104
Mathematical microscope      5
Max-min      94
Medical applications      26 57
Membership function      130
Membership functions      95
Miiller — Gasser estimator      142
Missing data      34 113
Missing variables      34
Modified matching pursuit      88 90
Morphological Haar wavelets      204
Mother wavelet      16
Multiresolution      4
Multiresolution fuzzy modeling      101
Multiresolution fuzzy-wavelet estimator      150
Multiresolution neurofuzzy      118
Multiresolution principal components, analysis      40
Multiresolution search      190
Multisensors detectors      60
Multivariate approximation methods      115
Naive density estimator      146
Neighbor-based interpolation      116
Nested space      14
Neural networkix      43 57 102 124 131 132
Neurofuzzy      ix 58 62 125
Neurofuzzy spline modeling      101
Noisy data      34
Nonlinear preprocessing of the input data      111
Nonlinear wavelets      195
Nonparametric kernel estimators      142
Nonparametric wavelet-based estimation and regression techniques      139
NP-hard problem      37
Off-line learning from irregularly spaced, data      111
Oja's network      37
On-line learning      73 121
Optimal approximator      127
Orthogonal decomposition      18
Orthogonal spline-based wavelets      73
Orthogonal wavelets      11
Parsimonious signal representation      53
Partition function      170
Parzen — Rosenblatt estimator      146
Pattern recognition      57
PC A      41
Perceptron      126
Perfect reconstruction      9 133 147
Perfect reconstruction condition      25
Period doubling      67
Piecewise polynomial functions      74 114
Piezoelectric strain sensors      58
Polyharmonic B-splines      136
Power complementarity condition      23 67
Power engineering      57
Power spectrum      8
Preprocessing      31
Principal components analysis      40
Probabilistic approach to fuzzy-wavelet      151
Probability density function      152
Process monitoring      57
Processing boundaries      106
Projection pursuit regression      42
Quadratic kernel      141
Quality inspection      57 58
Radial functions      130 136
Random design      141
Random gaussian vectors      38
Random search      174
Rapidly varying signals      128
Reconstruction algorithm      17 18 134
Reconstruction algorithms      78 81
Reconstruction filters      25
references      209
Regression function      141
Regularization theory      88
Residue      89 117
Riesz basis      21 24
Rules fusion and splitting      102
Rules validation      113 131
Said and Pearlman wavelets      203
Saito      53 56
Satellite imaging      26
Scaling function      16 76 83 93 103 126 130 132
Second generation wavelets      4 106
Second order B-wavelet      86
Second order cardinal B-spline      74 77
Segmentation      59
Semi-orthogonal B-wavelet      79
Semi-orthogonal spline-wavelets      73
Semi-orthogonal wavelet      79 83
sensors      131
Short-Time Fourier Transform      8
Shrinkage      147
Signal enhancement      58
Significant wavelet coefficients      35
Simple Genetic Algorithm      176
Singleton model      98
Singleton Takagi — Sugeno model      93 131
Smoothing      141
Smoothing splines      143
Soft computing      4 57
Soft computing approach to fuzzy-wavelet, transform      105
Spectral analysis      65
SPLINE      16 74 130
Spline interpolants      114
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