Neural network models: an analysis
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
London [u.a.]
Springer
1996
|
| Series: | Lecture notes in control and information sciences
210 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. [141] - 148 |
| Physical Description: | 153 S. graph. Darst. |
| ISBN: | 3540199950 |
Staff View
MARC
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| 100 | 1 | |a De Wilde, Philippe |d 1958- |e Verfasser |0 (DE-588)128508574 |4 aut | |
| 245 | 1 | 0 | |a Neural network models |b an analysis |c Philippe de Wilde |
| 264 | 1 | |a London [u.a.] |b Springer |c 1996 | |
| 300 | |a 153 S. |b 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 210 | |
| 500 | |a Literaturverz. S. [141] - 148 | ||
| 650 | 7 | |a Neurale netwerken |2 gtt | |
| 650 | 7 | |a Réseaux neuronaux (Informatique) |2 ram | |
| 650 | 7 | |a cerveau |2 inriac | |
| 650 | 7 | |a cognition |2 inriac | |
| 650 | 7 | |a modèle statistique |2 inriac | |
| 650 | 7 | |a réseau neuronal |2 inriac | |
| 650 | 7 | |a rétropropagation |2 inriac | |
| 650 | 7 | |a équation différentielle |2 inriac | |
| 650 | 4 | |a Neural networks (Computer science) | |
| 650 | 0 | 7 | |a Neuronales Netz |0 (DE-588)4226127-2 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1827042622097588224 |
|---|---|
| adam_text |
CONTENTS
1
KEY
CONCEPTS
IN
NEURAL
NETWORKS
7
1.1
KEYWORDS
AND
A
KEY
CONCEPT
.
7
1.2
A
GUIDE
TO
THE
LITERATURE
.
9
1.3
THE
OPERATION
OF
A
BASIC
NETWORK
.
11
1.3.1
STATIC
DESCRIPTION
OF
THE
NETWORK
.
11
1.3.2
EVOLUTION
IN
TIME
.
12
1.3.3
CONSTRUCTION
OF
THE
UPDATE
RULE
.
12
1.3.4
TRAJECTORIES
IN
STATE
SPACE
.
16
1.3.5
CAPACITY
.
17
1.3.6
AUTO-ASSOCIATIVITY
.
20
1.4
OTHER
NOTIONS
.
22
1.4.1
HETERO-ASSOCIATIVITY
(ASSOCIATIVE
MEMORY)
.
22
1.4.2
LAYERED
NETWORKS
.
23
1.4.3
LEARNING
IN
A
NET
WITH
INPUT
AND
OUTPUT
.
23
1.4.4
OTHER
UPDATE
RULES
.
26
1.4.5
ENERGY
SURFACE
.
28
1.4.6
HIGHER
ORDER
NETWORKS
.
28
1.4.7
LAYOUT
.
31
1.5
LIST
OF
SYMBOLS
.
32
1.6
PROBLEMS
.
32
2
BACKPROPAGATION
35
2.1
INTRODUCTION
.
35
2.2
HOW
THE
NETWORK
FUNCTIONS
.
36
2.3
CALCULATION
OF
WEIGHTS
BY
BACKPROPAGATION
.
39
2.3.1
CALCULATION
OF
THE
ERROR
SIGNALS
OF
THE
OUTPUT
NEURONS
.
39
2
CONTENTS
2.3.2
THE
WEIGHT
UPDATES
OF
THE
WEIGHTS
BETWEEN
HID
DEN
NEURONS
AND
OUTPUT
NEURONS
.
39
2.3.3
THE
ERROR
SIGNALS
FOR
THE
HIDDEN
NEURONS
.
41
2.3.4
THE
WEIGHT
UPDATES
OF
THE
WEIGHTS
BETWEEN
THE
INPUT
NEURONS
AND
THE
HIDDEN
NEURONS
.
41
2.3.5
REMARKS
ON
EPOCHS
AND
MULTIPLE
PATTERNS
.
42
2.4
A
GENERAL
THREE
LAYER
NETWORK
.
43
2.5
THE
GENERAL
BACKPROPAGATION
ALGORITHM
.
44
2.6
APPLICATIONS
OF
NEURAL
NETWORKS
.
47
2.7
PROBLEMS
.
51
3
NEURONS
IN
THE
BRAIN
53
3.1
THE
PHYSICAL
MODEL
.
54
3.2
OPERATION
OF
THE
NEURON
.
58
3.3
THE
MATHEMATICAL
MODEL
.
61
3.4
THE
TRANSFER
FUNCTION
.
65
3.5
PROBLEMS
.
67
4
THE
FUNDAMENTAL
SYSTEM
OF
DIFFERENTIAL
EQUATIONS
69
4.1
EXISTENCE
OF
A
SOLUTION
.
70
4.2
NUMERICAL
SOLUTION
OF
THE
EQUATIONS
.
72
4.3
AN
ANALOG
CIRCUIT
.
74
4.4
THE
ENERGY
FUNCTION
.
76
4.5
STABILITY
OF
EQUILIBRIA
.
82
4.6
A
LIAPUNOV
THEOREM
FOR
NEURAL
NETWORKS
.
89
4.7
PROBLEMS
.
94
5
SYNCHRONOUS
AND
DISCRETE
NETWORKS
97
5.1
FROM
ANALOG
TO
DIGITAL
NEURAL
NETWORKS
.
98
5.2
SYNCHRONOUS
DYNAMICS
AND
CYCLES
.
100
5.3
PROBLEMS
.
103
6
LINEAR
CAPACITY
105
6.1
THRESHOLD
FUNCTIONS
.
106
6.2
LINEAR
CAPACITY
.
113
6.3
PROBLEMS
.
115
CONTENTS
3
7
CAPACITY
FROM
A
SIGNAL
TO
NOISE
RATIO
117
7.1
SUM-OF-OUTERPRODUCT
WEIGHTS
.
117
7.2
CAPACITY
DEPENDENT
ON
REPRESENTATION
.
124
7.3
PROBLEMS
.
128
8
NEURAL
NETWORKS
AND
MARKOV
CHAINS
131
8.1
SIMULATED
ANNEALING
.
131
8.2
THE
FOKKER-PLANCK
EQUATION
.
136
8.3
PROBLEMS
.
140 |
| any_adam_object | 1 |
| author | De Wilde, Philippe 1958- |
| author_GND | (DE-588)128508574 |
| author_facet | De Wilde, Philippe 1958- |
| author_role | aut |
| author_sort | De Wilde, Philippe 1958- |
| author_variant | w p d wp wpd |
| building | Verbundindex |
| bvnumber | BV010617286 |
| callnumber-first | Q - Science |
| callnumber-label | QA76 |
| callnumber-raw | QA76.87.D45 1996 |
| callnumber-search | QA76.87.D45 1996 |
| callnumber-sort | QA 276.87 D45 41996 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 845 ST 300 |
| ctrlnum | (OCoLC)246646606 (DE-599)BVBBV010617286 |
| dewey-full | 006.320 006.3 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 006 - Special computer methods |
| dewey-raw | 006.3 20 006.3 |
| dewey-search | 006.3 20 006.3 |
| dewey-sort | 16.3 220 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV010617286 |
| illustrated | Illustrated |
| indexdate | 2025-03-19T17:00:23Z |
| institution | BVB |
| isbn | 3540199950 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007083237 |
| oclc_num | 246646606 |
| open_access_boolean | |
| owner | DE-521 DE-634 DE-83 DE-188 DE-706 |
| owner_facet | DE-521 DE-634 DE-83 DE-188 DE-706 |
| physical | 153 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | De Wilde, Philippe 1958- Verfasser (DE-588)128508574 aut Neural network models an analysis Philippe de Wilde London [u.a.] Springer 1996 153 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 210 Literaturverz. S. [141] - 148 Neurale netwerken gtt Réseaux neuronaux (Informatique) ram cerveau inriac cognition inriac modèle statistique inriac réseau neuronal inriac rétropropagation inriac équation différentielle inriac Neural networks (Computer science) Neuronales Netz (DE-588)4226127-2 gnd rswk-swf Neuronales Netz (DE-588)4226127-2 s DE-604 Lecture notes in control and information sciences 210 (DE-604)BV005848579 210 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007083237&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | De Wilde, Philippe 1958- Neural network models an analysis Lecture notes in control and information sciences Neurale netwerken gtt Réseaux neuronaux (Informatique) ram cerveau inriac cognition inriac modèle statistique inriac réseau neuronal inriac rétropropagation inriac équation différentielle inriac Neural networks (Computer science) Neuronales Netz (DE-588)4226127-2 gnd |
| subject_GND | (DE-588)4226127-2 |
| title | Neural network models an analysis |
| title_auth | Neural network models an analysis |
| title_exact_search | Neural network models an analysis |
| title_full | Neural network models an analysis Philippe de Wilde |
| title_fullStr | Neural network models an analysis Philippe de Wilde |
| title_full_unstemmed | Neural network models an analysis Philippe de Wilde |
| title_short | Neural network models |
| title_sort | neural network models an analysis |
| title_sub | an analysis |
| topic | Neurale netwerken gtt Réseaux neuronaux (Informatique) ram cerveau inriac cognition inriac modèle statistique inriac réseau neuronal inriac rétropropagation inriac équation différentielle inriac Neural networks (Computer science) Neuronales Netz (DE-588)4226127-2 gnd |
| topic_facet | Neurale netwerken Réseaux neuronaux (Informatique) cerveau cognition modèle statistique réseau neuronal rétropropagation équation différentielle Neural networks (Computer science) Neuronales Netz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007083237&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT dewildephilippe neuralnetworkmodelsananalysis |