Information algebras: generic structures for inference
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Springer
2003
|
| Series: | Discrete mathematics and theoretical computer science
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. [251] - 255 |
| Physical Description: | X, 265 S. |
| ISBN: | 1852336897 |
Staff View
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Record in the Search Index
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| adam_text | JIIRG KOHLAS INFORMATION ALGEBRAS GENERIC STRUCTURES FOR INFERENCE
SPRINGER CONTENTS 1 INTRODUCTION 1 2 VALUATION ALGEBRAS 7 2.1 THE
FRAMEWORK 7 2.2 AXIOMS 11 2.3 EXAMPLES OF VALUATION ALGEBRAS 16 2.3.1
INDICATOR FUNCTIONS 16 2.3.2 RELATIONS 18 2.3.3 PROBABILITY POTENTIALS
20 2.3.4 POSSIBILITY POTENTIALS 21 2.3.5 SPOHN POTENTIALS 23 2.3.6 SET
POTENTIALS 24 2.3.7 GAUSSIAN POTENTIALS 30 2.4 PARTIAL MARGINALIZATION
37 3 ALGEBRAIC THEORY 41 3.1 CONGRUENCES 41 3.2 DOMAIN-FREE VALUATION
ALGEBRAS 49 3.3 SUBALGEBRAS, HOMOMORPHISMS 55 3.3.1 SUBALGEBRAS 55 3.3.2
HOMOMORPHISMS AND ISOMORPHISMS 57 3.3.3 WEAK SUBALGEBRAS AND
HOMOMORPHISMS 62 3.4 NULL VALUATIONS 64 3.5 REGULAR VALUATION ALGEBRAS
67 3.6 SEPARATIVE VALUATION ALGEBRAS 78 3.7 SCALED VALUATION ALGEBRAS 89
4 LOCAL COMPUTATION 95 4.1 FUSION ALGORITHM 95 4.2 COLLECT ALGORITHM 103
4.3 COMPUTING MULTIPLE MARGINALS 108 X CONTENTS 4.4 ARCHITECTURES WITH
DIVISION ILL 4.5 COMPUTATIONS,^ VALUATION ALGEBRAS WITH PARTIAL
MARGINALIZATION 119 4.6 SCALING AND UPDATING 124 5 CONDITIONAL
INDEPENDENCE 131 5.1 FACTORIZATION AND GRAPHICAL MODELS 131 5.2
CONDITIONALS IN REGULAR ALGEBRAS 141 5.3 CONDITIONALS IN SEPARATIVE
ALGEBRAS 150 6 INFORMATION ALGEBRAS 159 6.1 IDEMPOTENCY 159 6.2 PARTIAL
ORDER OF INFORMATION 163 6.3 FILE SYSTEMS 169 6.4 INFORMATION SYSTEMS
176 6.5 EXAMPLES 185 6.5.1 PREPOSITIONAL LOGIC 185 6.5.2 BOOLEAN
INFORMATION ALGEBRAS 187 6.5.3 LINEAR EQUATIONS 189 6.5.4 LINEAR
INEQUALITIES 191 6.6 COMPACT SYSTEMS 192 6.7 MAPPINGS 201 7 UNCERTAIN
INFORMATION 209 7.1 ALGEBRA OF RANDOM VARIABLES 209 7.1.1 RANDOM
VARIABLES 209 7.1.2 ALLOCATION OF PROBABILITY 215 7.1.3 SUPPORT
FUNCTIONS 217 7.2 PROBABILISTIC ARGUMENTATION SYSTEMS 218 7.2.1
ASSUMPTION-BASED INFORMATION 218 7.2.2 PROBABILISTIC ARGUMENTATION
SYSTEMS 221 7.2.3 OPERATIONS WITH ARGUMENTATION SYSTEMS 225 7.3
ALLOCATIONS OF PROBABILITY 227 7.3.1 ALGEBRA OF ALLOCATIONS 227 7.3.2
NORMALIZED ALLOCATIONS 233 7.3.3 RANDOM VARIABLES AND ALLOCATIONS 236
7.3.4 LABELED ALLOCATIONS AND THEIR ALGEBRA 240 7.4 INDEPENDENT SOURCES
245 7.4.1 INDEPENDENT RANDOM VARIABLES 245 7.4.2 ALGEBRA OF BPAS 247
REFERENCES 251 INDEX 257
|
| adam_txt |
JIIRG KOHLAS INFORMATION ALGEBRAS GENERIC STRUCTURES FOR INFERENCE
SPRINGER CONTENTS 1 INTRODUCTION 1 2 VALUATION ALGEBRAS 7 2.1 THE
FRAMEWORK 7 2.2 AXIOMS 11 2.3 EXAMPLES OF VALUATION ALGEBRAS 16 2.3.1
INDICATOR FUNCTIONS 16 2.3.2 RELATIONS 18 2.3.3 PROBABILITY POTENTIALS
20 2.3.4 POSSIBILITY POTENTIALS 21 2.3.5 SPOHN POTENTIALS 23 2.3.6 SET
POTENTIALS 24 2.3.7 GAUSSIAN POTENTIALS 30 2.4 PARTIAL MARGINALIZATION
37 3 ALGEBRAIC THEORY 41 3.1 CONGRUENCES 41 3.2 DOMAIN-FREE VALUATION
ALGEBRAS 49 3.3 SUBALGEBRAS, HOMOMORPHISMS 55 3.3.1 SUBALGEBRAS 55 3.3.2
HOMOMORPHISMS AND ISOMORPHISMS 57 3.3.3 WEAK SUBALGEBRAS AND
HOMOMORPHISMS 62 3.4 NULL VALUATIONS 64 3.5 REGULAR VALUATION ALGEBRAS
67 3.6 SEPARATIVE VALUATION ALGEBRAS 78 3.7 SCALED VALUATION ALGEBRAS 89
4 LOCAL COMPUTATION 95 4.1 FUSION ALGORITHM 95 4.2 COLLECT ALGORITHM 103
4.3 COMPUTING MULTIPLE MARGINALS 108 X CONTENTS 4.4 ARCHITECTURES WITH
DIVISION ILL 4.5 COMPUTATIONS,^ VALUATION ALGEBRAS WITH PARTIAL
MARGINALIZATION 119 4.6 SCALING AND UPDATING 124 5 CONDITIONAL
INDEPENDENCE 131 5.1 FACTORIZATION AND GRAPHICAL MODELS 131 5.2
CONDITIONALS IN REGULAR ALGEBRAS 141 5.3 CONDITIONALS IN SEPARATIVE
ALGEBRAS 150 6 INFORMATION ALGEBRAS 159 6.1 IDEMPOTENCY 159 6.2 PARTIAL
ORDER OF INFORMATION 163 6.3 FILE SYSTEMS 169 6.4 INFORMATION SYSTEMS
176 6.5 EXAMPLES 185 6.5.1 PREPOSITIONAL LOGIC 185 6.5.2 BOOLEAN
INFORMATION ALGEBRAS 187 6.5.3 LINEAR EQUATIONS 189 6.5.4 LINEAR
INEQUALITIES 191 6.6 COMPACT SYSTEMS 192 6.7 MAPPINGS 201 7 UNCERTAIN
INFORMATION 209 7.1 ALGEBRA OF RANDOM VARIABLES 209 7.1.1 RANDOM
VARIABLES 209 7.1.2 ALLOCATION OF PROBABILITY 215 7.1.3 SUPPORT
FUNCTIONS 217 7.2 PROBABILISTIC ARGUMENTATION SYSTEMS 218 7.2.1
ASSUMPTION-BASED INFORMATION 218 7.2.2 PROBABILISTIC ARGUMENTATION
SYSTEMS 221 7.2.3 OPERATIONS WITH ARGUMENTATION SYSTEMS 225 7.3
ALLOCATIONS OF PROBABILITY 227 7.3.1 ALGEBRA OF ALLOCATIONS 227 7.3.2
NORMALIZED ALLOCATIONS 233 7.3.3 RANDOM VARIABLES AND ALLOCATIONS 236
7.3.4 LABELED ALLOCATIONS AND THEIR ALGEBRA 240 7.4 INDEPENDENT SOURCES
245 7.4.1' INDEPENDENT RANDOM VARIABLES 245 7.4.2 ALGEBRA OF BPAS 247
REFERENCES 251 INDEX 257 |
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| dewey-hundreds | 000 - Computer science, information, general works 500 - Natural sciences and mathematics |
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| discipline | Informatik Mathematik |
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| spelling | Kohlas, Jürg 1939- Verfasser (DE-588)108910443X aut Information algebras generic structures for inference Jürg Kohlas London Springer 2003 X, 265 S. txt rdacontent n rdamedia nc rdacarrier Discrete mathematics and theoretical computer science Literaturverz. S. [251] - 255 Lógica matemática larpcal Informatik Mathematik Algebra Computer science Mathematics Information theory Bewertung Mathematik (DE-588)4394368-8 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Approximatives Schließen (DE-588)4231005-2 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Informationsstruktur (DE-588)4026925-5 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Algebra (DE-588)4001156-2 s Informationsstruktur (DE-588)4026925-5 s Algebraische Struktur (DE-588)4001166-5 s DE-604 Informationstheorie (DE-588)4026927-9 s Approximatives Schließen (DE-588)4231005-2 s Bewertung Mathematik (DE-588)4394368-8 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015182580&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kohlas, Jürg 1939- Information algebras generic structures for inference Lógica matemática larpcal Informatik Mathematik Algebra Computer science Mathematics Information theory Bewertung Mathematik (DE-588)4394368-8 gnd Algebra (DE-588)4001156-2 gnd Approximatives Schließen (DE-588)4231005-2 gnd Informationstheorie (DE-588)4026927-9 gnd Informationsstruktur (DE-588)4026925-5 gnd Algebraische Struktur (DE-588)4001166-5 gnd |
| subject_GND | (DE-588)4394368-8 (DE-588)4001156-2 (DE-588)4231005-2 (DE-588)4026927-9 (DE-588)4026925-5 (DE-588)4001166-5 |
| title | Information algebras generic structures for inference |
| title_auth | Information algebras generic structures for inference |
| title_exact_search | Information algebras generic structures for inference |
| title_exact_search_txtP | Information algebras generic structures for inference |
| title_full | Information algebras generic structures for inference Jürg Kohlas |
| title_fullStr | Information algebras generic structures for inference Jürg Kohlas |
| title_full_unstemmed | Information algebras generic structures for inference Jürg Kohlas |
| title_short | Information algebras |
| title_sort | information algebras generic structures for inference |
| title_sub | generic structures for inference |
| topic | Lógica matemática larpcal Informatik Mathematik Algebra Computer science Mathematics Information theory Bewertung Mathematik (DE-588)4394368-8 gnd Algebra (DE-588)4001156-2 gnd Approximatives Schließen (DE-588)4231005-2 gnd Informationstheorie (DE-588)4026927-9 gnd Informationsstruktur (DE-588)4026925-5 gnd Algebraische Struktur (DE-588)4001166-5 gnd |
| topic_facet | Lógica matemática Informatik Mathematik Algebra Computer science Mathematics Information theory Bewertung Mathematik Approximatives Schließen Informationstheorie Informationsstruktur Algebraische Struktur |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015182580&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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