Learning machines: Foundations of trainable pattern-classifying systems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
McGraw-Hill
1965
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| Schriftenreihe: | McGraw-Hill series in systems science.
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI,137 S. |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Titel: Learning machines
Autor: Nilsson, Nils J
Jahr: 1965
CONTENTS
Preface, vii
TRAINABLE PATTERN CLASSIFIERS 1
1.1 Machine classification of data, 1
1.2 The basic model, 2
1.3 The problem of what to measure, 4
1.4 Decision surfaces in pattern space, 4
1.5 Discriminant functions, 6
1.6 The selection of discriminant functions, 8
1.7 Training methods, 9
1.8 Summary of book by chapters, 11
1.9 Bibliographical and historical remarks, 12
References, 12
SOME IMPORTANT DISCRIMINANT FUNCTIONS:
THEIR PROPERTIES AND THEIR IMPLEMENTATIONS 15
2.1 Families of discriminant functions, 15
2.2 Linear discriminant functions, 16
2.3 Minimum-distance classifiers, 16
2.4 The decision surfaces of linear machines, 18
2.5 Linear classifications of patterns, 20
2.6 The threshold logic unit (TLU), 21
2.7 Piecewise linear discriminant functions, 24
2.8 Quadric discriminant functions, 27
2.9 Quadric decision surfaces, 28
2.10 Implementation of quadric discriminant functions, 28
2.11 $ functions, 30
2.12 The utility of functions for classifying patterns, 31
2.13 The number of linear dichotomies of N points of
d dimensions, 32
ix
CONTENTS
2.14 The effects of constraints, 35
2.15 The number of function dichotomies, 37
2.16 Machine capacity, 38
2.17 Bibliographical and historical remarks, 40
References, 41
3.1 Probabilistic pattern sets, 43
3.2 Discriminant functions based on decision theory, 44
3.3 Likelihoods, 45
3.4 A special loss function, 46
3.5 An example, 47
3.6 The bivariate normal probability-density function, 50
3.7 The multivariate normal distribution, 54
3.8 The optimum classifier for normal patterns, 55
3.9 Some special cases involving identical covariance
matrices, 56
3.10 Training with normal pattern sets, 57
3.11 Learning the mean vector of normal patterns, 58
3.12 Bibliographical and historical remarks, 61
References, 62
SOME NONPARAMETRIC TRAINING METHODS
4.1 Nonparametric training of a TLU, 65
4.2 Weight space, 66
4.3 TLU training procedures, 69
4.4 A numerical example of error-correction training, 72
4.5 An error-correction training procedure for R 2, 75
4.6 Applications to £ machines, 76
4.7 Bibliographical and historical remarks, 76
References, 77
PARAMETRIC TRAINING METHODS
43
FOR $ MACHINES
65
TRAINING THEOREMS
79
5.1 The fundamental training theorem, 79
5.2 Notation, 81
5.3 Proof 1, 82
5.4 Proof 2, 85
CONTENTS xi
5.5 A training theorem for 72-catcgory linear machines, 87
5.6 A related training theorem for the case R = 2, 90
5.7 Bibliographical and historical remarks, 92
References, 93
6.1 Layered networks of TLUs, 95
6.2 Committee machines, 97
6.3 A training procedure for committee machines, 99
6.4 An example, 101
6.5 Transformation properties of layered machines, 103
6.6 A sufficient condition for image-space linear
separability, 107
6.7 Derivation of a discriminant function for a layered
machine, 109
6.8 Bibliographical and historical remarks, 113
References, 113
7.1 Multimodal pattern-classifying tasks, 115
7.2 Training PWL machines, 116
7.3 A disadvantage of the error-correction training
methods, 118
7.4 A nonparametric decision procedure, 119
7.5 Nonparametric decisions based on distances to
modes, 121
7.6 Mode-seeking and related training methods for PWL
machines, 122
7.7 Bibliographical and historical remarks, 125
References, 126
A.l Separation of a quadratic form into positive and
negative parts, 127
A.2 Implementation, 128
A.3 Transformation of normal patterns, 131
LAYERED MACHINES
95
PIECEWISE LINEAR MACHINES
115
APPENDIX
127
INDEX
133
|
| any_adam_object | 1 |
| author | Nilsson, Nils J. 1933-2019 |
| author_GND | (DE-588)11005248X |
| author_facet | Nilsson, Nils J. 1933-2019 |
| author_role | aut |
| author_sort | Nilsson, Nils J. 1933-2019 |
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| dewey-raw | 519.92 |
| dewey-search | 519.92 |
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| discipline | Informatik Mathematik Wirtschaftswissenschaften |
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| language | English |
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| physical | XI,137 S. |
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| spelling | Nilsson, Nils J. 1933-2019 Verfasser (DE-588)11005248X aut Learning machines Foundations of trainable pattern-classifying systems New York McGraw-Hill 1965 XI,137 S. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill series in systems science. Intelligence artificielle Intelligence artificielle ram Künstliche Intelligenz Mustererkennung (DE-588)4040936-3 gnd rswk-swf Computer (DE-588)4070083-5 gnd rswk-swf Lernen (DE-588)4035408-8 gnd rswk-swf Künstliche Intelligenz (DE-588)4033447-8 gnd rswk-swf Soft Computing (DE-588)4455833-8 gnd rswk-swf Mustererkennung (DE-588)4040936-3 s Computer (DE-588)4070083-5 s DE-604 Lernen (DE-588)4035408-8 s Künstliche Intelligenz (DE-588)4033447-8 s Soft Computing (DE-588)4455833-8 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001253637&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nilsson, Nils J. 1933-2019 Learning machines Foundations of trainable pattern-classifying systems Intelligence artificielle Intelligence artificielle ram Künstliche Intelligenz Mustererkennung (DE-588)4040936-3 gnd Computer (DE-588)4070083-5 gnd Lernen (DE-588)4035408-8 gnd Künstliche Intelligenz (DE-588)4033447-8 gnd Soft Computing (DE-588)4455833-8 gnd |
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| title | Learning machines Foundations of trainable pattern-classifying systems |
| title_auth | Learning machines Foundations of trainable pattern-classifying systems |
| title_exact_search | Learning machines Foundations of trainable pattern-classifying systems |
| title_full | Learning machines Foundations of trainable pattern-classifying systems |
| title_fullStr | Learning machines Foundations of trainable pattern-classifying systems |
| title_full_unstemmed | Learning machines Foundations of trainable pattern-classifying systems |
| title_short | Learning machines |
| title_sort | learning machines foundations of trainable pattern classifying systems |
| title_sub | Foundations of trainable pattern-classifying systems |
| topic | Intelligence artificielle Intelligence artificielle ram Künstliche Intelligenz Mustererkennung (DE-588)4040936-3 gnd Computer (DE-588)4070083-5 gnd Lernen (DE-588)4035408-8 gnd Künstliche Intelligenz (DE-588)4033447-8 gnd Soft Computing (DE-588)4455833-8 gnd |
| topic_facet | Intelligence artificielle Künstliche Intelligenz Mustererkennung Computer Lernen Soft Computing |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001253637&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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