Neural-symbolic cognitive reasoning:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
[2009]
|
| Schriftenreihe: | Cognitive technologies
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (p. 181-192) and index |
| Beschreibung: | xiii, 197 Seiten Illustrationen, Diagramme 24 cm |
| ISBN: | 9783540732457 3540732454 |
Internformat
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| 100 | 1 | |a D'Avila Garcez, Artur S. |d 1970- |e Verfasser |0 (DE-588)131692348 |4 aut | |
| 245 | 1 | 0 | |a Neural-symbolic cognitive reasoning |c Artur S. d'Avila Garcez, Luís C. Lamb, Dov M. Gabbay |
| 264 | 1 | |a Berlin |b Springer |c [2009] | |
| 264 | 4 | |c © 2009 | |
| 300 | |a xiii, 197 Seiten |b Illustrationen, Diagramme |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Cognitive technologies | |
| 500 | |a Includes bibliographical references (p. 181-192) and index | ||
| 650 | 4 | |a Künstliche Intelligenz | |
| 650 | 4 | |a Neural networks (Computer science) | |
| 650 | 4 | |a Artificial intelligence | |
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| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Lamb, Luís C. |e Verfasser |4 aut | |
| 700 | 1 | |a Gabbay, Dov M. |d 1945- |e Verfasser |0 (DE-588)124196314 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-540-73246-4 |
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Datensatz im Suchindex
| _version_ | 1804143459731243008 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 1
1.1 MOTIVATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 1
1.2 METHODOLOGY AND RELATED WORK . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 3
1.3 STRUCTURE OF THE BOOK . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 7
2 LOGIC AND KNOWLEDGE REPRESENTATION . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 9
2.1 PRELIMINARIES . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 10
2.2 CLASSICAL LOGIC . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 11
2.2.1 PROPOSITIONAL LOGIC . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 11
2.2.2 FIRST-ORDER LOGIC . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 12
2.3 NONCLASSICAL LOGICS . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 14
2.4 NONMONOTONIC REASONING . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 16
2.5 LOGIC PROGRAMMING . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 17
2.5.1 STABLE-MODEL AND ANSWER SET SEMANTICS . . . . . . . . . . . . . .
. . 19
2.6 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 20
3 ARTIFICIAL NEURAL NETWORKS . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 23
3.1 ARCHITECTURES OF NEURAL NETWORKS . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 23
3.2 LEARNING STRATEGY . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 26
3.3 RECURRENT NETWORKS . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 29
3.4 EVALUATION OF LEARNING MODELS . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 31
3.5 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 33
4 NEURAL-SYMBOLIC LEARNING SYSTEMS . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 35
4.1 THE CILP SYSTEM . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 35
4.2 MASSIVELY PARALLEL DEDUCTION IN CILP . . . . . . . . . . . . . . . .
. . . . . . . . . 43
4.3 INDUCTIVE LEARNING IN CILP . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 44
4.4 ADDING CLASSICAL NEGATION . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 45
4.5 ADDING METALEVEL PRIORITIES . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 49
4.6 APPLICATIONS OF CILP . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 52
4.7 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 53
XI
IMAGE 2
XII CONTENTS
5 CONNECTIONIST MODAL LOGIC . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 55
5.1 MODAL LOGIC AND EXTENDED MODAL PROGRAMS . . . . . . . . . . . . . .
. . . . . . 56
5.1.1 SEMANTICS FOR EXTENDED MODAL LOGIC PROGRAMS . . . . . . . . . . .
58 5.2 CONNECTIONIST MODAL LOGIC . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 60
5.2.1 COMPUTING MODALITIES IN NEURAL NETWORKS . . . . . . . . . . . . .
. . 61
5.2.2 SOUNDNESS OF MODAL COMPUTATION . . . . . . . . . . . . . . . . . .
. . . . 66
5.2.3 TERMINATION OF MODAL COMPUTATION . . . . . . . . . . . . . . . . .
. . . . 67
5.3 CASE STUDY: THE MUDDY CHILDREN PUZZLE . . . . . . . . . . . . . . .
. . . . . . . . 68
5.3.1 DISTRIBUTED KNOWLEDGE REPRESENTATION IN CML . . . . . . . . . . .
69 5.3.2 LEARNING IN CML . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 71
5.4 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 73
6 CONNECTIONIST TEMPORAL REASONING . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 75
6.1 CONNECTIONIST TEMPORAL LOGIC OF KNOWLEDGE . . . . . . . . . . . . .
. . . . . . 76
6.1.1 THE LANGUAGE OF CTLK . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 77
6.1.2 THE CTLK ALGORITHM . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 79
6.2 THE MUDDY CHILDREN PUZZLE (FULL SOLUTION) . . . . . . . . . . . . .
. . . . . . . 81
6.2.1 TEMPORAL KNOWLEDGE REPRESENTATION . . . . . . . . . . . . . . . .
. . . 81
6.2.2 LEARNING IN CTLK . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 83
6.3 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 84
7 CONNECTIONIST INTUITIONISTIC REASONING . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 87
7.1 INTUITIONISTIC LOGIC AND PROGRAMS . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 88
7.2 CONNECTIONIST INTUITIONISTIC REASONING . . . . . . . . . . . . . . .
. . . . . . . . . . 90
7.2.1 CREATING THE NETWORKS . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 92
7.2.2 CONNECTING THE NETWORKS . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 93
7.3 CONNECTIONIST INTUITIONISTIC MODAL REASONING . . . . . . . . . . . .
. . . . . . . 95
7.4 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 100
8 APPLICATIONS OF CONNECTIONIST NONCLASSICAL REASONING . . . . . . . . .
. . . . . 101 8.1 A SIMPLE CARD GAME . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 101
8.2 THE WISE MEN PUZZLE . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 102
8.2.1 A FORMALISATION OF THE WISE MEN PUZZLE . . . . . . . . . . . . . .
. . 103
8.2.2 REPRESENTING THE WISE MEN PUZZLE USING CML . . . . . . . . . . .
104 8.3 APPLICATIONS OF CONNECTIONIST INTUITIONISM . . . . . . . . . . .
. . . . . . . . . . 108
8.3.1 REPRESENTING THE WISE MEN PUZZLE USING CIL . . . . . . . . . . . .
109 8.4 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 112
9 FIBRING NEURAL NETWORKS . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 115
9.1 THE IDEA OF FIBRING . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 115
9.2 FIBRING NEURAL NETWORKS . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 117
9.3 EXAMPLES OF THE FIBRING OF NETWORKS . . . . . . . . . . . . . . . .
. . . . . . . . . . 119
9.4 DEFINITION OF FIBRED NETWORKS . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 121
9.5 DYNAMICS OF FIBRED NETWORKS . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 123
9.6 EXPRESSIVENESS OF FIBRED NETWORKS . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 124
9.7 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 125
IMAGE 3
CONTENTS XIII
10 RELATIONAL LEARNING IN NEURAL NETWORKS . . . . . . . . . . . . . . .
. . . . . . . . . . . 127
10.1 AN EXAMPLE . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 128
10.2 VARIABLE REPRESENTATION . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 130
10.3 RELATION REPRESENTATION . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 131
10.4 RELATIONAL LEARNING . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 132
10.5 RELATIONAL REASONING . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 134
10.6 EXPERIMENTAL RESULTS . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 135
10.7 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 140
11 ARGUMENTATION FRAMEWORKS AS NEURAL NETWORKS . . . . . . . . . . . . .
. . . . . 143
11.1 VALUE-BASED ARGUMENTATION FRAMEWORKS . . . . . . . . . . . . . . .
. . . . . . . 144
11.2 ARGUMENTATION NEURAL NETWORKS . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 145
11.3 ARGUMENT COMPUTATION AND LEARNING . . . . . . . . . . . . . . . . .
. . . . . . . . . 149
11.3.1 CIRCULAR ARGUMENTATION . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 150
11.3.2 ARGUMENT LEARNING . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 154
11.3.3 CUMULATIVE (ACCRUAL) ARGUMENTATION . . . . . . . . . . . . . . .
. . . . 155
11.4 FIBRING APPLIED TO ARGUMENTATION . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 157
11.5 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 159
12 REASONING ABOUT PROBABILITIES IN NEURAL NETWORKS . . . . . . . . . .
. . . . . . . 161
12.1 REPRESENTING UNCERTAINTY . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 161
12.2 AN ALGORITHM FOR REASONING ABOUT UNCERTAINTY . . . . . . . . . . .
. . . . . . 164
12.3 THE MONTY HALL PUZZLE . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 166
12.4 DISCUSSION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 167
13 CONCLUSIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 169
13.1 NEURAL-SYMBOLIC LEARNING SYSTEMS . . . . . . . . . . . . . . . . .
. . . . . . . . . . 170
13.2 CONNECTIONIST NONCLASSICAL REASONING . . . . . . . . . . . . . . .
. . . . . . . . . . 172
13.2.1 CONNECTIONIST MODAL REASONING . . . . . . . . . . . . . . . . . .
. . . . . . 173
13.2.2 CONNECTIONIST TEMPORAL REASONING . . . . . . . . . . . . . . . .
. . . . . 175
13.3 FIBRING NEURAL NETWORKS . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 176
13.4 CONCLUDING REMARKS . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 178
REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 181
INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . 193
|
| any_adam_object | 1 |
| author | D'Avila Garcez, Artur S. 1970- Lamb, Luís C. Gabbay, Dov M. 1945- |
| author_GND | (DE-588)131692348 (DE-588)124196314 |
| author_facet | D'Avila Garcez, Artur S. 1970- Lamb, Luís C. Gabbay, Dov M. 1945- |
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| dewey-ones | 006 - Special computer methods |
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| id | DE-604.BV036783412 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:48:00Z |
| institution | BVB |
| isbn | 9783540732457 3540732454 |
| language | English |
| lccn | 2008935635 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020699983 |
| oclc_num | 603782463 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-11 DE-473 DE-BY-UBG |
| owner_facet | DE-19 DE-BY-UBM DE-11 DE-473 DE-BY-UBG |
| physical | xiii, 197 Seiten Illustrationen, Diagramme 24 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series2 | Cognitive technologies |
| spelling | D'Avila Garcez, Artur S. 1970- Verfasser (DE-588)131692348 aut Neural-symbolic cognitive reasoning Artur S. d'Avila Garcez, Luís C. Lamb, Dov M. Gabbay Berlin Springer [2009] © 2009 xiii, 197 Seiten Illustrationen, Diagramme 24 cm txt rdacontent n rdamedia nc rdacarrier Cognitive technologies Includes bibliographical references (p. 181-192) and index Künstliche Intelligenz Neural networks (Computer science) Artificial intelligence Inferenz Künstliche Intelligenz (DE-588)4333533-0 gnd rswk-swf Symbolverarbeitung (DE-588)4278565-0 gnd rswk-swf Nichtklassische Logik (DE-588)4197462-1 gnd rswk-swf Konnektionistisches Netz (DE-588)4304815-8 gnd rswk-swf Maschinelles Lernen (DE-588)4193754-5 gnd rswk-swf Neuronales Netz (DE-588)4226127-2 gnd rswk-swf Neuronales Netz (DE-588)4226127-2 s Symbolverarbeitung (DE-588)4278565-0 s Konnektionistisches Netz (DE-588)4304815-8 s Nichtklassische Logik (DE-588)4197462-1 s Maschinelles Lernen (DE-588)4193754-5 s Inferenz Künstliche Intelligenz (DE-588)4333533-0 s DE-604 Lamb, Luís C. Verfasser aut Gabbay, Dov M. 1945- Verfasser (DE-588)124196314 aut Erscheint auch als Online-Ausgabe 978-3-540-73246-4 B:DE-101 application/pdf https://d-nb.info/984419179/04 Inhaltsverzeichnis SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020699983&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | D'Avila Garcez, Artur S. 1970- Lamb, Luís C. Gabbay, Dov M. 1945- Neural-symbolic cognitive reasoning Künstliche Intelligenz Neural networks (Computer science) Artificial intelligence Inferenz Künstliche Intelligenz (DE-588)4333533-0 gnd Symbolverarbeitung (DE-588)4278565-0 gnd Nichtklassische Logik (DE-588)4197462-1 gnd Konnektionistisches Netz (DE-588)4304815-8 gnd Maschinelles Lernen (DE-588)4193754-5 gnd Neuronales Netz (DE-588)4226127-2 gnd |
| subject_GND | (DE-588)4333533-0 (DE-588)4278565-0 (DE-588)4197462-1 (DE-588)4304815-8 (DE-588)4193754-5 (DE-588)4226127-2 |
| title | Neural-symbolic cognitive reasoning |
| title_auth | Neural-symbolic cognitive reasoning |
| title_exact_search | Neural-symbolic cognitive reasoning |
| title_full | Neural-symbolic cognitive reasoning Artur S. d'Avila Garcez, Luís C. Lamb, Dov M. Gabbay |
| title_fullStr | Neural-symbolic cognitive reasoning Artur S. d'Avila Garcez, Luís C. Lamb, Dov M. Gabbay |
| title_full_unstemmed | Neural-symbolic cognitive reasoning Artur S. d'Avila Garcez, Luís C. Lamb, Dov M. Gabbay |
| title_short | Neural-symbolic cognitive reasoning |
| title_sort | neural symbolic cognitive reasoning |
| topic | Künstliche Intelligenz Neural networks (Computer science) Artificial intelligence Inferenz Künstliche Intelligenz (DE-588)4333533-0 gnd Symbolverarbeitung (DE-588)4278565-0 gnd Nichtklassische Logik (DE-588)4197462-1 gnd Konnektionistisches Netz (DE-588)4304815-8 gnd Maschinelles Lernen (DE-588)4193754-5 gnd Neuronales Netz (DE-588)4226127-2 gnd |
| topic_facet | Künstliche Intelligenz Neural networks (Computer science) Artificial intelligence Inferenz Künstliche Intelligenz Symbolverarbeitung Nichtklassische Logik Konnektionistisches Netz Maschinelles Lernen Neuronales Netz |
| url | https://d-nb.info/984419179/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020699983&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT davilagarcezarturs neuralsymboliccognitivereasoning AT lambluisc neuralsymboliccognitivereasoning AT gabbaydovm neuralsymboliccognitivereasoning |
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