Supervised learning with complex-valued neural networks:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Studies in computational intelligence
421 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXI, 168 S. Ill., graph. Darst. |
| ISBN: | 9783642294907 |
Staff View
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| 100 | 1 | |a Sundaram, Suresh |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Supervised learning with complex-valued neural networks |c Suresh Sundaram ; Narasimhan Sundararajan ; Ramasamy Savitha |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2013 | |
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| 700 | 1 | |a Savitha, Ramasamy |e Verfasser |4 aut | |
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Record in the Search Index
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| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 NATURE OF COMPLEX-VALUED NEURAL NETWORKS 2
1.1.1 SPLIT COMPLEX-VALUED NEURAL NETWORK 2
1.1.2 FULLY COMPLEX-VALUED NEURAL NETWORKS 4
1.2 TYPES OF LEARNING 8
1.2.1 SUPERVISED LEARNING 8
1.2.2 UNSUPERVISED LEARNING 13
1.3 MODE OF LEARNING 17
1.3.1 COMPLEX-VALUED BATCH LEARNING ALGORITHMS 17
1.3.2 COMPLEX-VALUED SEQUENTIAL LEARNING ALGORITHMS 19 1.4 APPLICATIONS
20
1.4.1 DIGITAL COMMUNICATION: QAM EQUALIZATION 21
1.4.2 ARRAY SIGNAL PROCESSING 21
1.4.3 REAL-VALUED CLASSIFICATION 22
1.4.4 MEMORIES 23
1.4.5 OTHER APPLICATIONS 23
REFERENCES 24
2 FULLY COMPLEX-VALUED MULTI LAYER PERCEPTRON NETWORKS 31
2.1 COMPLEX-VALUED MULTI-LAYER PERCEPTRON NETWORKS 32
2.1.1 SPLIT COMPLEX-VALUED MULTI-LAYER PERCEPTRON 32
2.1.2 FULLY COMPLEX-VALUED MULTI-LAYER PERCEPTRON 35
2.2 ISSUES IN FULLY COMPLEX-VALUED MULTI-LAYER PERCEPTRON NETWORKS 40
2.2.1 SPLIT COMPLEX-VALUED MLP 41
2.2.2 FULLY COMPLEX-VALUED MLP 41
2.3 AN IMPROVED FULLY COMPLEX-VALUED MULTI-LAYER PERCEPTRON (IC-MLP) 42
2.3.1 A NEW ACTIVATION FUNCTION: EXP 43
2.3.2 LOGARITHMIC PERFORMANCE INDEX 45
2.3.3 LEARNING ALGORITHM 46
HTTP://D-NB.INFO/1020805307
IMAGE 2
X
CONTENTS
2.4 SUMMARY 46
REFERENCES 47
3 A FULLY COMPLEX-VALUED RADIAL BASIS FUNCTION NETWORK AND ITS LEARNING
ALGORITHM 49
3.1 COMPLEX-VALUED RBF NETWORKS 50
3.2 FACTORS INFLUENCING THE PERFORMANCE OF COMPLEX-VALUED RBF NETWORKS
53
3.3 A FULLY COMPLEX-VALUED RBF NETWORK (FC-RBF) 54
3.3.1 NETWORK ARCHITECTURE 54
3.3.2 THE ACTIVATION FUNCTION 54
3.4 LEARNING ALGORITHM FOR THE FC-RBF NETWORK 56
3.4.1 NETWORK INITIALIZATION: K-MEANS CLUSTERING ALGORITHM 60
3.5 META-COGNITIVE FULLY COMPLEX-VALUED RADIAL BASIS FUNCTION NETWORK 61
3.5.1 COGNITIVE COMPONENT OF MC-FCRBF: THE FC-RBF NETWORK 63
3.5.2 META-COGNITIVE COMPONENT OF MC-FCRBF: SELF-REGULATORY LEARNING
MECHANISM 63
3.6 SUMMARY 69
REFERENCES 70
4 FULLY COMPLEX-VALUED RELAXATION NETWORKS 73
4.1 FULLY COMPLEX-VALUED RELAXATION NETWORKS 74
4.1.1 FCRN ARCHITECTURE 74
4.1.2 NONLINEAR LOGARITHMIC ENERGY FUNCTION 76
4.1.3 A PROJECTION BASED LEARNING ALGORITHM FOR FCRN 77 4.2 SUMMARY 82
REFERENCES 83
5 PERFORMANCE STUDY ON COMPLEX-VALUED FUNCTION APPROXIMATION PROBLEMS 85
5.1 SYNTHETIC FUNCTION APPROXIMATION PROBLEMS 85
5.1.1 SYNTHETIC COMPLEX-VALUED FUNCTION APPROXIMATION PROBLEM I (CFAP-I)
86
5.1.2 SYNTHETIC COMPLEX-VALUED FUNCTION APPROXIMATION PROBIEM II
(CFAP-II) 88
5.2 REAL-WORLD PROBLEMS 89
5.2.1 COMPLEX QUADRATURE AMPLITUDE MODULATION CHANNEL EQUALIZATION
PROBLEM 89
5.2.2 CHA AND KASSAM CHANNEL MODEL 92
5.2.3 ADAPTIVE BEAM-FORMING PROBLEM 96
5.3 SUMMARY 105
REFERENCES 106
IMAGE 3
CONTENTS
XI
6 CIRCULAR COMPLEX-VALUED EXTREME LEARNING MACHINE CLASSIFIER . . . .
109 6.1 COMPLEX-VALUED CLASSIFIERS IN THE LITERATURE 110
6.1.1 DESCRIPTION OF A REAL-VALUED CLASSIFICATION PROBLEM DONE IN THE
COMPLEX DOMAIN 110
6.1.2 MULTI-LAYER NEURAL NETWORK BASED ON MULTI-VALUED NEURONS (MLMVN) I
L L
6.1.3 PHASE ENCODED COMPLEX-VALUED NEURAL NETWORK (PE-CVNN) 112
6.1.4 MODIFICATIONS IN FC-MLP, FC-RBF AND MC-FCRBF LEARNING ALGORITHM TO
SOLVE REAL-VALUED CLASSIFICATION PROBLEMS 113
6.2 CIRCULAR COMPLEX-VALUED EXTREME LEARNING MACHINE CLASSIFIER... 114
6.2.1 ARCHITECTURE OF THE CLASSIFIER 114
6.2.2 LEARNING ALGORITHM OF CC-ELM 117
6.2.3 ORTHOGONAL DECISION BOUNDARIES IN CC-ELM 118
6.2.4 CASE (I): ORTHOGONALITY OF DECISION BOUNDARIES IN THE OUTPUT LAYER
118
6.2.5 CASE (II): ORTHOGONALITY OF DECISION BOUNDARIES IN THE HIDDEN
LAYER 120
6.3 SUMMARY 122
REFERENCES 123
7 PERFORMANCE STUDY ON REAL-VALUED CLASSIFICATION PROBLEMS 125 7.1
DESCRIPTIONS OF REAL-VALUED BENCHMARK CLASSIFICATION PROBLEMS 125
7.2 PERFORMANCE STUDY 126
7.2.1 PERFORMANCE MEASURES 126
7.2.2 MULTI-CATEGORY REAL-VALUED CLASSIFICATION PROBLEMS 127 7.2.3
BINARY REAL-VALUED CLASSIFICATION PROBLEMS 129
7.3 PERFORMANCE STUDY USING A REAL-WORLD ACOUSTIC EMISSION
CLASSIFICATION PROBLEM 129
7.4 SUMMARY 132
REFERENCES 132
8 COMPLEX-VALUED SELF-REGULATORY RESOURCE ALLOCATION NETWORK (CSRAN) 135
8.1 A BRIEF REVIEW OF EXISTING COMPLEX-VALUED SEQUENTIAL LEARNING
ALGORITHMS 137
8.2 COMPLEX-VALUED MINIMAL RESOURCE ALLOCATION NETWORK (CMRAN) 138
8.2.1 DRAWBACKS OF THE CMRAN ALGORITHM 143
8.3 COMPLEX-VALUED GROWING AND PRUNING RBF (CGAP-RBF) NETWORKS 143
8.4 INCREMENTAL FULLY COMPLEX-VALUED EXTREME LEARNING MACHINES (I-ELM)
146
IMAGE 4
XII
CONTENTS
8.5 COMPLEX-VALUED SELF-REGULATORY RESOURCE ALLOCATION NETWORK LEARNING
ALGORITHM (CSRAN) 146
8.5.1 NETWORK ARCHITECTURE 146
8.5.2 SEQUENTIAL SELF-REGULATING LEARNING SCHEME OF C S R A N . . . 148
8.5.3 GUIDELINES FOR THE SELECTION OF THE SELF-REGULATORY THRESHOLDS 152
8.5.4 ILLUSTRATION OF THE SELF-REGULATORY LEARNING PRINCIPLES USING A
COMPLEX-VALUED FUNCTION APPROXIMATION PROBLEM 156
8.6 PERFORMANCE STUDY: COMPLEX-VALUED FUNCTION APPROXIMATION PROBLEMS
160
8.6.1 COMPLEX-VALUED FUNCTION APPROXIMATION PROBLEM 1 160 8.6.2
COMPLEX-VALUED FUNCTION APPROXIMATION PROBLEM II 160 8.6.3 QAM CHANNEL
EQUALIZATION PROBLEM 162
8.6.4 ADAPTIVE BEAM FORMING PROBLEM 163
8.7 PERFORMANCE STUDY: REAL-VALUED CLASSIFICATIONPROBLEMS 165 8.8
SUMMARY 166
REFERENCES 167
|
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| author | Sundaram, Suresh Sundararajan, Narasimhan Savitha, Ramasamy |
| author_facet | Sundaram, Suresh Sundararajan, Narasimhan Savitha, Ramasamy |
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| author_sort | Sundaram, Suresh |
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| dewey-search | 006.32 006.31 |
| dewey-sort | 16.32 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik |
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| indexdate | 2024-07-10T00:24:02Z |
| institution | BVB |
| isbn | 9783642294907 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025291819 |
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| publisher | Springer |
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| series | Studies in computational intelligence |
| series2 | Studies in computational intelligence |
| spelling | Sundaram, Suresh Verfasser aut Supervised learning with complex-valued neural networks Suresh Sundaram ; Narasimhan Sundararajan ; Ramasamy Savitha Berlin [u.a.] Springer 2013 XXI, 168 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in computational intelligence 421 Neuronales Netz (DE-588)4226127-2 gnd rswk-swf Überwachtes Lernen (DE-588)4580264-6 gnd rswk-swf Komplexe Zahl (DE-588)4128698-4 gnd rswk-swf Überwachtes Lernen (DE-588)4580264-6 s Neuronales Netz (DE-588)4226127-2 s Komplexe Zahl (DE-588)4128698-4 s DE-604 Sundararajan, Narasimhan Verfasser aut Savitha, Ramasamy Verfasser aut Studies in computational intelligence 421 (DE-604)BV020822171 421 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025291819&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sundaram, Suresh Sundararajan, Narasimhan Savitha, Ramasamy Supervised learning with complex-valued neural networks Studies in computational intelligence Neuronales Netz (DE-588)4226127-2 gnd Überwachtes Lernen (DE-588)4580264-6 gnd Komplexe Zahl (DE-588)4128698-4 gnd |
| subject_GND | (DE-588)4226127-2 (DE-588)4580264-6 (DE-588)4128698-4 |
| title | Supervised learning with complex-valued neural networks |
| title_auth | Supervised learning with complex-valued neural networks |
| title_exact_search | Supervised learning with complex-valued neural networks |
| title_full | Supervised learning with complex-valued neural networks Suresh Sundaram ; Narasimhan Sundararajan ; Ramasamy Savitha |
| title_fullStr | Supervised learning with complex-valued neural networks Suresh Sundaram ; Narasimhan Sundararajan ; Ramasamy Savitha |
| title_full_unstemmed | Supervised learning with complex-valued neural networks Suresh Sundaram ; Narasimhan Sundararajan ; Ramasamy Savitha |
| title_short | Supervised learning with complex-valued neural networks |
| title_sort | supervised learning with complex valued neural networks |
| topic | Neuronales Netz (DE-588)4226127-2 gnd Überwachtes Lernen (DE-588)4580264-6 gnd Komplexe Zahl (DE-588)4128698-4 gnd |
| topic_facet | Neuronales Netz Überwachtes Lernen Komplexe Zahl |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025291819&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV020822171 |
| work_keys_str_mv | AT sundaramsuresh supervisedlearningwithcomplexvaluedneuralnetworks AT sundararajannarasimhan supervisedlearningwithcomplexvaluedneuralnetworks AT savitharamasamy supervisedlearningwithcomplexvaluedneuralnetworks |