Neural networks in multidimensional domains: fundamentals and new trends in modelling and control
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | German |
| Veröffentlicht: |
London [u.a.]
Springer
1998
|
| Schriftenreihe: | Lecture notes in control and information sciences
234 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 165 S. Ill., graph. Darst. |
| ISBN: | 1852330066 |
Internformat
MARC
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| 245 | 1 | 0 | |a Neural networks in multidimensional domains |b fundamentals and new trends in modelling and control |c Paolo Arena ... |
| 264 | 1 | |a London [u.a.] |b Springer |c 1998 | |
| 300 | |a XIV, 165 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in control and information sciences |v 234 | |
| 650 | 7 | |a Commande automatique |2 ram | |
| 650 | 7 | |a Neurale netwerken |2 gtt | |
| 650 | 7 | |a Réseaux neuronaux (Informatique) |2 ram | |
| 650 | 4 | |a Automatic control | |
| 650 | 4 | |a Computer simulation | |
| 650 | 4 | |a Neural networks (Computer science) | |
| 650 | 0 | 7 | |a Mehrschichten-Perzeptron |0 (DE-588)4354626-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mehrschichten-Perzeptron |0 (DE-588)4354626-2 |D s |
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| 700 | 1 | |a Arena, Paolo |d 1966- |e Sonstige |0 (DE-588)118166549 |4 oth | |
| 830 | 0 | |a Lecture notes in control and information sciences |v 234 |w (DE-604)BV005848579 |9 234 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008059344&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Datensatz im Suchindex
| _version_ | 1805068067062939648 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
TO
MLP
NEURAL
NETWORKS
3
1.1
THE
MULTI-LAYER
PERCEPTRON
.
6
1.2
THE
LEARNING
ALGORITHM
.
8
2
NEURAL
NETWORKS
IN
COMPLEX
ALGEBRA
13
2.1
INTRODUCTION
.
13
2.2
THE
COMPLEX
MULTI-LAYER
PERCEPTRON
.
13
2.3
NOTATIONS
.
14
2.4
CMLP
WITH
AN
ANALYTIC
ACTIVATION
FUNCTION
.
15
2.5
CMLP
WITH
A
NOT
ANALYTIC
ACTIVATION
FUNCTION
.
17
2.6
APPROXIMATION
CAPABILITIES
OF
THE
CMLP
.
20
2.7
MULTI-LAYER
PERCEPTRONS
IN
REAL
OR
COMPLEX
ALGEBRA:
A
COMPARISON
25
2.8
APPLICATIONS
OF
THE
CMLP:
SOME
EXAMPLES
.
26
2.9
NUMERICAL
EXAMPLES
.
27
2.9.1
INTERPOLATION
OF
NOT
ANALYTIC
FUNCTIONS
.
27
2.9.2
INTERPOLATION
OF
ANALYTIC
FUNCTIONS
.
30
2.10
SUMMARY
.
35
3
VECTORIAL
NEURAL
NETWORKS
37
3.1
INTRODUCTION
.
37
3.2
VMLP
WITH
MATRIX
WEIGHTS
.
37
3.3
3-D
MLP
IN
VECTOR
ALGEBRA
.
40
4
QUATERNION
ALGEBRA
43
4.1
INTRODUCTION
.
43
4.2
FUNDAMENTAL
DEFINITIONS
.
43
4.3
QUATERNION
ALGEBRA
APPLICATIONS
.
46
5
MLP
IN
QUATERNION
ALGEBRA
49
5.1
INTRODUCTION
.
49
5.2
NOTATION
.
49
5.3
THE
LEARNING
ALGORITHM
FOR
THE
HMLP
.
50
VIII
5.4
MULTI-LAYER
PERCEPTRONS
IN
REAL
OR
IN
QUATERNION
ALGEBRA:
A
COM
PARISON
.
57
5.5
DENSITY
THEOREM
FOR
THE
HMLP
.
58
5.6
SOME
NUMERICAL
EXAMPLES
.
62
5.6.1
INTERPOLATION
OF
3-DIMENSIONAL
FUNCTIONS
.
62
5.6.2
A
CLASSIFICATION
PROBLEM
.
66
5.7
DENSITY
THEOREM
FOR
THE
HMLP
.
67
5.8
SOME
NUMERICAL
EXAMPLES
.
71
5.8.1
INTERPOLATION
OF
3-DIMENSIONAL
FUNCTIONS
.
71
5.8.2
A
CLASSIFICATION
PROBLEM
.
75
6
CHAOTIC
TIME
SERIES
PREDICTION
WITH
CMLP
AND
HMLP
77
6.1
INTRODUCTION
.
77
6.2 MODELLING
OF
NON-LINEAR
SYSTEMS
.
77
6.2.1
NEURAL
NETWORKS
FOR
NON-LINEAR
SYSTEMS
PREDICTION
.
78
6.2.2
CHAOTIC
TIME
SERIES
PREDICTION
.
79
6.3
CHAOTIC
PHENOMENA
IN
LIGHT
TRANSMISSION
.
81
6.3.1
ESTIMATION
OF
THE
IKEDA
MAP
VIA
CMLPS
AND
MLPS
.
.
81
6.4
HYPERCOMPLEX
CHAOTIC
TIME
SERIES
.
86
6.4.1
CHUA
'
S
CIRCUIT
.
86
6.4.2
SAITO
'
S
CIRCUIT
.
87
6.4.3
THE
LORENZ
SYSTEM
.
95
6.5
CONCLUSIONS
.
98
7
APPLICATIONS
OF
QUATERNIONS
IN
ROBOTICS
99
7.1
INTRODUCTION
.
99
7.2
DYNAMIC
EQUATIONS
OF
A
RIGID
BODY
IN
QUATERNION
ALGEBRA
.
100
7.2.1
QUATERNIONIC
REPRESENTATION
OF
ROTATIONS
.
100
7.2.2
ANGULAR
SPEED
.
102
7.2.3
ANGULAR
ACCELERATION
.
102
7.2.4
ANGULAR
MOMENT
.
103
7.3
NEURAL
ATTITUDE
CONTROL
IN
QUATERNION
ALGEBRA
.
103
7.4
A
QUATERNIONIC
PD
CONTROLLER
WITH
A
FEEDFORWARD
NEURAL
TERM
.
108
7.5
CONCLUSIONS
.
110
A
BASIC
DEFINITIONS
113
A.L
DEFINITIONS
ON
ALGEBRAS
.
113
A.2
BASIC
DEFINITIONS
ON
FUNCTIONS
.
114
B
CHAOTIC
SYSTEMS
115
B.L
DEFINITION
OF
CHAOTIC
SYSTEM
.
115
B.2
THE
LORENZ
SYSTEM
.
116
B.3
CHUA
'
S
CIRCUIT
.
117
B.4
SAITO
'
S
CIRCUIT
.
119
IX
C
GETTING
STARTED
WITH
HMLP
SOFTWARE
123
C.L
INTRODUCTION
.
123
C.2
FUNDAMENTAL
QUATERNIONIC
OPERATIONS
.
125
C.3
FLOW
CHARTS
.
129
C.4
EXAMPLE
.
133
C.5
HMLP
NETWORK
.
139 |
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| dewey-ones | 006 - Special computer methods |
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| dewey-search | 006.3/2 |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV011923039 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:44:14Z |
| institution | BVB |
| isbn | 1852330066 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008059344 |
| oclc_num | 38593561 |
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| owner_facet | DE-739 DE-20 DE-706 DE-634 DE-83 |
| physical | XIV, 165 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Neural networks in multidimensional domains fundamentals and new trends in modelling and control Paolo Arena ... London [u.a.] Springer 1998 XIV, 165 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 234 Commande automatique ram Neurale netwerken gtt Réseaux neuronaux (Informatique) ram Automatic control Computer simulation Neural networks (Computer science) Mehrschichten-Perzeptron (DE-588)4354626-2 gnd rswk-swf Mehrschichten-Perzeptron (DE-588)4354626-2 s DE-604 Arena, Paolo 1966- Sonstige (DE-588)118166549 oth Lecture notes in control and information sciences 234 (DE-604)BV005848579 234 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008059344&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Neural networks in multidimensional domains fundamentals and new trends in modelling and control Lecture notes in control and information sciences Commande automatique ram Neurale netwerken gtt Réseaux neuronaux (Informatique) ram Automatic control Computer simulation Neural networks (Computer science) Mehrschichten-Perzeptron (DE-588)4354626-2 gnd |
| subject_GND | (DE-588)4354626-2 |
| title | Neural networks in multidimensional domains fundamentals and new trends in modelling and control |
| title_auth | Neural networks in multidimensional domains fundamentals and new trends in modelling and control |
| title_exact_search | Neural networks in multidimensional domains fundamentals and new trends in modelling and control |
| title_full | Neural networks in multidimensional domains fundamentals and new trends in modelling and control Paolo Arena ... |
| title_fullStr | Neural networks in multidimensional domains fundamentals and new trends in modelling and control Paolo Arena ... |
| title_full_unstemmed | Neural networks in multidimensional domains fundamentals and new trends in modelling and control Paolo Arena ... |
| title_short | Neural networks in multidimensional domains |
| title_sort | neural networks in multidimensional domains fundamentals and new trends in modelling and control |
| title_sub | fundamentals and new trends in modelling and control |
| topic | Commande automatique ram Neurale netwerken gtt Réseaux neuronaux (Informatique) ram Automatic control Computer simulation Neural networks (Computer science) Mehrschichten-Perzeptron (DE-588)4354626-2 gnd |
| topic_facet | Commande automatique Neurale netwerken Réseaux neuronaux (Informatique) Automatic control Computer simulation Neural networks (Computer science) Mehrschichten-Perzeptron |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008059344&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT arenapaolo neuralnetworksinmultidimensionaldomainsfundamentalsandnewtrendsinmodellingandcontrol |