Learning systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Springer
1995
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 119 S. graph. Darst. |
| ISBN: | 3540199969 |
Internformat
MARC
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| 100 | 1 | |a Avedijan, Eduard |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Learning systems |c Eduard Aved'yan |
| 264 | 1 | |a London [u.a.] |b Springer |c 1995 | |
| 300 | |a XIII, 119 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Lernendes System |0 (DE-588)4120666-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lernendes System |0 (DE-588)4120666-6 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006961654 | |
Datensatz im Suchindex
| _version_ | 1807865596082126848 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
1
INTRODUCTION
TO
LEARNING
SYSTEMS
.
1
1.1
SYSTEMS,
MEMORY
.
1
1.2
PERFORMANCE
INDEX
.
3
1.2.1
RANDOM
INPUT
.
4
1.2.2
DETERMINISTIC
INPUT
.
6
1.3
LEARNING
ALGORITHMS
.
6
1.4
SOME
EXAMPLES
OF
LEARNING
SYSTEMS
.
8
1.4.1
THE
LEARNING
LINEAR
COMBINER
.
8
1.4.2
NEURONS
OF
HIGHER
ORDER
.
8
1.4.3
THE
LEARNING
NON-LINEAR
TRANSFORMER
.
9
1.4.4
LINEAR
AND
NON-LINEAR
LEARNING
FILTERS
.
10
1.4.5
LEARNING
CONTROL
SYSTEMS
.
11
1.4.6
THE
LEARNING
MULTILAYER
NEURAL
NETWORK
.
12
1.4.7
LEARNING
CM
AC
.
13
REFERENCES
.
15
2
DETERMINISTIC
ALGORITHMS
.
16
2.1
SIMPLE
PROJECTION
ALGORITHMS
IN
SPACES
WITH
DIFFERENT
NORMS
(STRUCTURE,
CONVERGENCE,
PROPERTIES)
.
16
2.1.1
CONSTRUCTION
OF
KACZMARZ
ALGORITHM
.
17
2.1.2
CONVERGENCE
.
22
2.2
MODIFIED
PROJECTION
ALGORITHMS
WITH
A
HIGH
RATE
OF
CONVERGENCE
.
25
2.2.1
CONSTRUCTION
.
25
2.2.2
TRANSIENT
MODE
.
28
2.2.3
PROPERTIES
OF
THE
ESTIMATES
.
29
2.2.4
"BAD"
MEASUREMENTS
.
29
REFERENCES
.
30
APPENDIX
.
31
3
DETERMINISTIC
AND
STOCHASTIC
ALGORITHMS
OF
OPTIMISATION
.
40
3.1
DETERMINISTIC
METHODS
FOR
UNCONSTRAINED
MINIMISATION
.
40
3.1.1
THE
GRADIENT
ALGORITHM
.
40
3.1.2
CONVERGENCE
.
41
XII
TABLE
OF
CONTENTS
3.1.3
NEWTON'S
ALGORITHM
.
42
3.1.4
EXAMPLE
APPLICATION
.
43
3.2
STOCHASTIC
APPROXIMATION
AND
RECURRENT
ESTIMATION
.
45
3.2.
1
RANDOM
INPUT
.
45
3.2.2
EXAMPLE
SYSTEM
.
48.
REFERENCES
.
49
4
STOCHASTIC
ALGORITHMS:
THE
LEAST
SQUARES
METHOD
IN
THE
NON-RECURRENT
AND
RECURRENT
FORMS
AND
THE
GAUSS-MARKOV
THEOREM
.
50
4.1
THE
LEAST
SQUARES
METHOD
IN
RECURSIVE
AND
NON-RECURSIVE
FORMS
(THE
WHITE
NOISE
CASE)
.
50
4.1.1
THE
LEAST
SQUARES
METHOD
IN
NON-RECURSIVE
FORM
.
50
4.1.2
A
PRIORI
INFORMATION
.
51
4.2
THE
GAUSS-MARKOV
THEOREM
.
54
4.2.1
OPTIMAL
ESTIMATES
.
54
4.2.2
CONNECTION
WITH
THE
MAXIMUM
LIKELIHOOD
ESTIMATES
[2]
.
59
4.3
EXAMPLE
SYSTEM.
60
REFERENCES
.
61
5
STOCHASTIC
ALGORITHMS
.
62
5.1
ALGORITHMS
WITH
FORGETTING
FACTOR
.
62
5.2
THE
LEAST
SQUARES
METHOD
BY
CORRELATED
NOISE
IN
THE
NON-RECURSIVE
AND
RECURSIVE
FORMS:
CONNECTION
WITH
DECORRELATION
PROCEDURES
.
65
5.2.1
THE
ARBITRARY
CASE
.
65
5.2.2
SPECIAL
CASE
.68
5.3
INTRODUCTION
TO
THE
KALMAN
FILTER
[1],
[3]
.
69
REFERENCES
.
71
6
MULTILAYER
NEURAL
NETWORKS
.
72
6.1
MULTILAYER
NEURAL
NETWORK
AS
A
NON-LINEAR
TRANSFORMER.
THE
KOLMOGOROV
AND
CYBENKO
THEOREMS
.
72
6.1.1
INTRODUCTION
.
72
6.1.2
MNN
ARCHITECTURE
.
73
6.1.3
THE
INPUT-OUTPUT
MAPPING
OF
A
MULTILAYER
NETWORK
OF
THE
FIRST
ORDER
.
75
6.1.4
APPROXIMATION
.
76
6.2
LEARNING
ALGORITHMS
FOR
SINGLE
ELEMENTS
OF
MULTILAYER
NEURAL
NETWORKS
.
78
6.2.1
DIFFERENTIABLE
ACTIVATION
FUNCTIONS
.
79
6.2.2
NON-DIFFERENTIABLE
ACTIVATION
FUNCTIONS
.
81
REFERENCES
.
86
7
LEARNING
ALGORITHMS
FOR
NEURAL
NETWORKS
.
88
7.1
THE
BACK-PROPAGATION
ALGORITHM
FOR
MNN
LEARNING
.
88
TABLE
OF
CONTENT*
XIII
7.1.1
MAIN
EQUATIONS
.
88
7.1.2
FULLY
CONNECTED
MNNS
.
91
7.1.3
THE
TRANSIENT
SENSITIVITY
MATRIX
FOR
FULLY
CONNECTED
MNNS
OF
THE
FIRST
ORDER
.
93
7.1.4
THE
TRANSIENT
SENSITIVITY
MATRIX
FOR
FULLY
CONNECTED
MNNS
OF
THE
SECOND
ORDER
.
94
7.1.5
NON-FULLY
CONNECTED
MNNS
.96
7.2
AUTONOMOUS
ALGORITHMS
FOR
ADJUSTING
MNNS
.
97
7.2.1
INTRODUCTION
.
97
7.2.2
NEURAL
NETWORKS
WITH
A
SINGLE
OUTPUT
.
97
7.2.3
NEURAL
NETWORK
WITH
MANY
OUTPUTS
.
99
REFERENCES
.
100
8
IDENTIFICATION
AND
CONTROL
OF
DYNAMIC
SYSTEMS
USING
MULTILAYER
NEURAL
NETWORKS
.
101
8.1
IDENTIFICATION
OF
DYNAMIC
SYSTEMS
USING
MULTILAYER
NEURAL
NETWORKS
.
101
8.1.1.
LINEAR
SYSTEMS
.
101
8.1.2
NON-LINEAR
SYSTEMS
.
102
8.1.3
THE
STRUCTURE
OF
MNNS
FOR
IDENTIFICATION
.
103
8.2
CONTROL
OF
DYNAMIC
SYSTEMS
USING
MULTILAYER
NEURAL
NETWORKS
.
105
8.2.1
LINEAR
SYSTEMS
.
106
8.3
CONTROL
OF
NON-LINEAR
DYNAMIC
SYSTEMS
USING
MULTILAYER
NEURAL
NETWORKS
.
107
8.3.1
EXAMPLE
USE
OF
NEURAL
NETWORKS
FOR
MRAC
.
108
REFERENCES
.
109
9
THE
CEREBELLAR
MODEL
ARTICULATION
CONTROLLER
(CMAC)
.
110
9.1
INTRODUCTION
TO
CMAC
.
110
9.1.1
INTRODUCTION
.
110
9.2
DATA
STORAGE
AND
LEARNING
PROCESS
IN
THE
CMAC
.
ILL
9.2.1
INTRODUCTION
TO
THE
CMAC
.
ILL
9.2.2
THE
CMAC
SYSTEM
.
112
9.3
ALBUS'
LEARNING
ALGORITHM
.
113
9.4
MODIFIED
ALBUS'
ALGORITHM
.
114
9.4.1
MODIFICATION
.
114
9.4.2
SPECIAL
FEATURES
OF
THE
MODIFIED
ALBUS
ALGORITHM
.
117
9.5
CMAC
FOR
IDENTIFICATION
AND
ADAPTIVE
CONTROL
.
118
REFERENCES
.
118
INDEX
120 |
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| author | Avedijan, Eduard |
| author_facet | Avedijan, Eduard |
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| author_sort | Avedijan, Eduard |
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| discipline | Informatik |
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| illustrated | Illustrated |
| indexdate | 2024-08-20T00:49:45Z |
| institution | BVB |
| isbn | 3540199969 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006961654 |
| oclc_num | 246787340 |
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| owner_facet | DE-29T DE-739 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-20 DE-83 |
| physical | XIII, 119 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
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| spelling | Avedijan, Eduard Verfasser aut Learning systems Eduard Aved'yan London [u.a.] Springer 1995 XIII, 119 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lernendes System (DE-588)4120666-6 gnd rswk-swf Lernendes System (DE-588)4120666-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006961654&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Avedijan, Eduard Learning systems Lernendes System (DE-588)4120666-6 gnd |
| subject_GND | (DE-588)4120666-6 |
| title | Learning systems |
| title_auth | Learning systems |
| title_exact_search | Learning systems |
| title_full | Learning systems Eduard Aved'yan |
| title_fullStr | Learning systems Eduard Aved'yan |
| title_full_unstemmed | Learning systems Eduard Aved'yan |
| title_short | Learning systems |
| title_sort | learning systems |
| topic | Lernendes System (DE-588)4120666-6 gnd |
| topic_facet | Lernendes System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006961654&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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