Foundations of wavelet networks and applications:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla.
Chapman & Hall/CRC
2002
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| Subjects: | |
| Online Access: | Table of contents Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 225-253) and index |
| Physical Description: | 258 p. ill. : 25 cm |
| ISBN: | 1584882743 |
Staff View
MARC
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| 100 | 1 | |a Iyengar, S. S. |d 1947- |e Verfasser |0 (DE-588)121802485 |4 aut | |
| 245 | 1 | 0 | |a Foundations of wavelet networks and applications |c S. Sitharama Iyengar, E.C. Cho, Vir V. Phoha |
| 264 | 1 | |a Boca Raton, Fla. |b Chapman & Hall/CRC |c 2002 | |
| 300 | |a 258 p. |b ill. : 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (p. 225-253) and index | ||
| 650 | 4 | |a Ondelettes | |
| 650 | 4 | |a Réseaux neuronaux (Informatique) | |
| 650 | 4 | |a Neural networks (Computer science) | |
| 650 | 4 | |a Wavelets (Mathematics) | |
| 650 | 0 | 7 | |a Wavelet |0 (DE-588)4215427-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Neuronales Netz |0 (DE-588)4226127-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Neuronales Netz |0 (DE-588)4226127-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Cho, E. C. |e Verfasser |4 aut | |
| 700 | 1 | |a Phoha, Vir V. |e Verfasser |4 aut | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/fy032/2002025919.html |3 Table of contents | |
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Record in the Search Index
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| adam_text | FOUNDATIONS OF WAVELET NETWORKS AND APPLICATIONS S. SITHARAMA LYENGAR
E.C.CHO VIR V, PHOHA CHAPMAN & HALUCRC A CRC PRESS COMPANY BOCA RATON
LONDON NEW YORK WASHINGTON, D.C. CONTENTS 1 MATHEMATICAL PRELIMINARIES 3
1.1 SETS 3 1.2 FUNCTIONS 7 1.3 SEQUENCES AND SERIES 11 1.4 COMPLEX
NUMBERS 14 1.5 LINEAR SPACES 17 1.6 MATRICES 23 1.7 HILBERT SPACES 27
1.8 TOPOLOGY 29 1.9 MEASURE AND INTEGRAL 31 1.10 FOURIER SERIES 33
1.11 EXERCISES 35 2 WAVELETS 41 2.1 INTRODUCTION 41 2.2 DILATION AND
TRANSLATION 43 2.3 INNER PRODUCT 44 2.4 HAAR WAVELET 45 2.5
MULTIRESOLUTION ANALYSIS # 47 2.6 CONTINUOUS WAVELET TRANSFORM 49 2.7
DISCRETE WAVELET TRANSFORM 52 2.8 FOURIER TRANSFORM 53 2.9 DISCRETE
FOURIER TRANSFORM 55 2.10 DFT OF FINITE SEQUENCES 56 2.11 CONVOLUTION .
. . * 57 2.12 EXERCISES 59 CONTENTS NEURAL NETWORKS 61 3.1 INTRODUCTION
61 3.1.1 MCCULLOCH-PITTS MODEL OF NEURON 62 3.1.2 OPTIMAL NETWORK
STRUCTURE 67 3.1.3 SINGLE LAYER PERCEPTRON 68 3.2 MULTILAYER PERCEPTRONS
. . 70 3.2.1 ADAPTATION PROCEDURE OF ROSENBLATT . . . 70 3.2.2
BACKPROPAGATION LEARNING 72 3.3 HEBBIAN LEARNING 75 3.3.1 HEBB S RULE 75
3.3.2 HEBBIAN LEARNING APPLIED TO MULTIPLE IN- PUT PES 77 3.3.3 OJA S
RULE 80 3.3.4 SANGER S RULE 81 3.3.5 PRINCIPAL COMPONENT ANALYSIS (PCA)
. . . 81 3.3.6 ANTI-HEBBIAN LEARNING 82 3.4 COMPETITIVE AND KOHONEN
NETWORKS 84 3.4.1 COMPETITIVE LEARNING 84 3.4.2 KOHONEN SELF-ORGANIZING
MAP 87 3.4.3 GROSSBERG S INSTAR-OUTSTAR NETWORK . . . . 90 3.4.4
ADAPTIVE RESONANCE THEORY (ART) . . . . 91 3.5 RECURRENT NEURAL NETWORKS
95 3.5.1 HOPFIELD NETWORKS 96 3.6 EXERCISES 98 WAVELET NETWORKS 107 4.1
INTRODUCTION 107 4.2 WHAT ARE WAVELET NETWORKS? 110 4.3 DYADIC WAVELET
NETWORK 112 4.4 THEORY OF WAVELET NETWORKS 113 4.5 WAVELET NETWORK
STRUCTURE 115 4.5.1 WAVELET NETWORK ALGORITHM 118 4.6 MULTIDIMENSIONAL
WAVELETS 120 4.7 LEARNING IN WAVELET NETWORKS 121 4.8 INITIALIZATION OF
WAVELET NETWORKS 121 4.9 PROPERTIES OF WAVELET NETWORKS 122 4.10 SCALING
AT HIGHER DIMENSIONS 123 CONTENTS 4.11 EXERCISES 125 II 127 5 RECURRENT
LEARNING 129 5.1 INTRODUCTION 129 5.2 RECURRENT NEURAL NETWORKS 130
5.2.1 NEURAL STRUCTURES 131 5.2.2 LEARNING PROBLEMS 133 5.2.3 ON-LINE
LEARNING APPROACHES: RECURRENT BACKPROPAGATION 134 5.3 RECURRENT
WAVELETS 136 5.3.1 WAVELETS IN FUNCTION APPROXIMATION . . . 137 5.3.2
RECURRENT WAVELET NETWORKS 138 5.4 NUMERICAL EXPERIMENTS 142 5.4.1 CASE
1 142 5.4.2 CASE 2 143 5.5 CONCLUDING REMARKS 143 5.6 EXERCISES 144 6
SEPARATING ORDER FROM DISORDER 145 6.1 ORDER WITHIN DISORDER 145 6.2
WAVELET NETWORKS: TRADING ADVISORS 148 6.3 COMPARISON RESULTS 149 6.4
CONCLUSIONS 151 6.5 EXERCISES 153 7 RADIAL WAVELET NEURAL NETWORKS 155
7.1 INTRODUCTION * 155 7.2 DATA DESCRIPTION AND PREPARATION 156 7.3
CLASSIFICATION SYSTEMS 158 7.3.1 MINIMUM DISTANCE CLASSIFIER 159 7.3.2
WAVELET NEURAL NETWORK CLASSIFIER . . . . 160 7.4 RESULTS 165 7.5
CONCLUSIONS . . . . 168 7.6 EXERCISES 170 CONTENTS § PREDICTING
CHAOTIC TIME SERIES 171 8.1 INTRODUCTION 171 8.2 NONLINEAR PREDICTION
176 8.3 WAVELET NETWORKS 177 8.4 SHORT-TERM PREDICTION 180 8.5
PARAMETER-VARYING SYSTEMS 183 8.6 LONG-TERM PREDICTION 185 8.7
CONCLUSIONS 187 8.8 APPENDIX 188 8.9 ACKNOWLEDGMENTS 190 8.10 FIGURES
191 8.11 EXERCISES 204 9 CONCEPT LEARNING 205 9.1 BACKGROUND 205 9.2
INTRODUCTION 205 9.3 PRELIMINARIES 207 9.3.1 PAC LEARNING 207 9.3.2
APPROXIMATION BY WAVELET NETWORKS . . . 208 9.3.3 STOCHASTIC
APPROXIMATION ALGORITHMS . . . 209 9.4 LEARNING ALGORITHMS 212 9.4.1
BASIC ALGORITHM 212 9.4.2 BATCHING ALGORITHM 218 9.5 SUMMARY 220 9.6
EXERCISES 221 10 BIBLIOGRAPHY 223 10.1 MATHEMATICAL PRELIMINARIES 225
10.2 WAVELETS 225 10.3 NEURAL NETWORKS 226 10.4 WAVELET NETWORKS 235
10.5 RECURRENT LEARNING 240 10.6 SEPARATING ORDER FROM DISORDER 244 10.7
RADIAL WAVELET NEURAL NETWORKS 244 10.8 PREDICTING CHAOTIC TIME SERIES
245 10.9 CONCEPT LEARNING 248 CONTENTS INDEX 254
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| discipline | Informatik Mathematik |
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| id | DE-604.BV014471798 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:57:03Z |
| institution | BVB |
| isbn | 1584882743 |
| language | English |
| lccn | 2002025919 |
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| physical | 258 p. ill. : 25 cm |
| publishDate | 2002 |
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| publisher | Chapman & Hall/CRC |
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| spelling | Iyengar, S. S. 1947- Verfasser (DE-588)121802485 aut Foundations of wavelet networks and applications S. Sitharama Iyengar, E.C. Cho, Vir V. Phoha Boca Raton, Fla. Chapman & Hall/CRC 2002 258 p. ill. : 25 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 225-253) and index Ondelettes Réseaux neuronaux (Informatique) Neural networks (Computer science) Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd rswk-swf Neuronales Netz (DE-588)4226127-2 gnd rswk-swf Wavelet (DE-588)4215427-3 s Neuronales Netz (DE-588)4226127-2 s DE-604 Cho, E. C. Verfasser aut Phoha, Vir V. Verfasser aut http://www.loc.gov/catdir/toc/fy032/2002025919.html Table of contents HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012766088&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Iyengar, S. S. 1947- Cho, E. C. Phoha, Vir V. Foundations of wavelet networks and applications Ondelettes Réseaux neuronaux (Informatique) Neural networks (Computer science) Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd Neuronales Netz (DE-588)4226127-2 gnd |
| subject_GND | (DE-588)4215427-3 (DE-588)4226127-2 |
| title | Foundations of wavelet networks and applications |
| title_auth | Foundations of wavelet networks and applications |
| title_exact_search | Foundations of wavelet networks and applications |
| title_full | Foundations of wavelet networks and applications S. Sitharama Iyengar, E.C. Cho, Vir V. Phoha |
| title_fullStr | Foundations of wavelet networks and applications S. Sitharama Iyengar, E.C. Cho, Vir V. Phoha |
| title_full_unstemmed | Foundations of wavelet networks and applications S. Sitharama Iyengar, E.C. Cho, Vir V. Phoha |
| title_short | Foundations of wavelet networks and applications |
| title_sort | foundations of wavelet networks and applications |
| topic | Ondelettes Réseaux neuronaux (Informatique) Neural networks (Computer science) Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd Neuronales Netz (DE-588)4226127-2 gnd |
| topic_facet | Ondelettes Réseaux neuronaux (Informatique) Neural networks (Computer science) Wavelets (Mathematics) Wavelet Neuronales Netz |
| url | http://www.loc.gov/catdir/toc/fy032/2002025919.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012766088&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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