Hopfield models as generalized random mean field models:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
WIAS
1996
|
| Schriftenreihe: | Weierstrass-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint
253 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 74 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a Hopfield models as generalized random mean field models |c Anton Bovier ; Véronique Gayrard. Weierstrass-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| 264 | 1 | |a Berlin |b WIAS |c 1996 | |
| 300 | |a 74 S. | ||
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| 490 | 1 | |a Weierstrass-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |v 253 | |
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Datensatz im Suchindex
| _version_ | 1808227739228962816 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
1.
INTRODUCTION
.
2
2.
GENERALIZED
RANDOM
MEAN
FIELD
MODELS
.
5
2.1
DERIVATION
OF
THE
HOPFIELD
MODEL
AS
A
MEAN
FIELD
SPIN
GLASS
.
5
2.2
THE
HOPFIELD
MODEL
AS
AN
AUTOASSOCIATIVE
MEMORY
.
7
2.3
DEFINITION
OF
GENERALIZED
RANDOM
MEAN
FIELD
MODELS
.
8
2.4
THERMODYNAMIC
LIMITS
FOR
GENERALIZED
RANDOM
MEAN
FIELD
MODELS
.
10
2.5.
CONVERGENCE,
LAWS
OF
LARGE
NUMBERS
AND
PROPAGATION
OF
CHAOS
.
12
2.6
EXAMPLES
.
13
3.
LARGE
DEVIATION
ESTIMATES
AND
TRANSFER
PRINCIPLE
.
15
3.1
LARGE
DEVIATION
ESTIMATES
.
15
3.2
TRANSFER
PRINCIPLE
.
19
4.
BOUNDS
ON
THE
NORM
OF
RANDOM
MATRICES
.
23
5.
PROPERTIES
OF
THE
INDUCED
MEASURES
.
26
5.1
LOCALIZATION
OF
THE
INDUCED
MEASURES
.
26
5.2
SYMMETRY
AND
CONCENTRATION
OF
MEASURE
.
27
6.
GLOBAL
ESTIMATES
ON
THE
FREE
ENERGY
FUNCTION
.
32
7.
LOCAL
ANALYSIS
OF
$
.
46
7.1
THE
CASE
P
3
.
46
7.2
THE
CASE
P
=
2
.
48
8.
CONVEXITY,
THE
REPLICA
SYMMETRIC
SOLUTION,
AND
PROPAGATION
OF
CHAOS
.
53
REFERENCES
.
70 |
| any_adam_object | 1 |
| author | Bovier, Anton 1957- Gayrard, Véronique |
| author_GND | (DE-588)109223829 (DE-588)139583971 |
| author_facet | Bovier, Anton 1957- Gayrard, Véronique |
| author_role | aut aut |
| author_sort | Bovier, Anton 1957- |
| author_variant | a b ab v g vg |
| building | Verbundindex |
| bvnumber | BV010952401 |
| classification_rvk | SI 304 |
| ctrlnum | (OCoLC)75784640 (DE-599)BVBBV010952401 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010952401 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-24T00:45:50Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007325521 |
| oclc_num | 75784640 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | 74 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | WIAS |
| record_format | marc |
| series | Weierstrass-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| series2 | Weierstrass-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| spelling | Bovier, Anton 1957- Verfasser (DE-588)109223829 aut Hopfield models as generalized random mean field models Anton Bovier ; Véronique Gayrard. Weierstrass-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. Berlin WIAS 1996 74 S. txt rdacontent n rdamedia nc rdacarrier Weierstrass-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint 253 Gayrard, Véronique Verfasser (DE-588)139583971 aut Weierstrass-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint 253 (DE-604)BV009885922 253 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007325521&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bovier, Anton 1957- Gayrard, Véronique Hopfield models as generalized random mean field models Weierstrass-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| title | Hopfield models as generalized random mean field models |
| title_auth | Hopfield models as generalized random mean field models |
| title_exact_search | Hopfield models as generalized random mean field models |
| title_full | Hopfield models as generalized random mean field models Anton Bovier ; Véronique Gayrard. Weierstrass-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_fullStr | Hopfield models as generalized random mean field models Anton Bovier ; Véronique Gayrard. Weierstrass-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_full_unstemmed | Hopfield models as generalized random mean field models Anton Bovier ; Véronique Gayrard. Weierstrass-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_short | Hopfield models as generalized random mean field models |
| title_sort | hopfield models as generalized random mean field models |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007325521&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009885922 |
| work_keys_str_mv | AT bovieranton hopfieldmodelsasgeneralizedrandommeanfieldmodels AT gayrardveronique hopfieldmodelsasgeneralizedrandommeanfieldmodels |