Mathematical Foundations of Information Retrieval (Mathematical Modelling: Theory and Applications, 12, Band 12) - Hardcover

Dominich, S.

 
9780792368618: Mathematical Foundations of Information Retrieval (Mathematical Modelling: Theory and Applications, 12, Band 12)

Inhaltsangabe

1. Introduction.- 1. Information Retrieval.- 2. Information Retrieval MODELS.- 3. Mathematics in Information Retrieval Models.- 4. Relevance in Information Retrieval.- 5. Interaction Information Retrieval.- 6. Mathematical Foundation of Information Retrieval.- 2. Mathematics Handbook.- 1. Logics.- 2. SET THEORY.- 3. RELATIONS.- 4. FUNCTION.- 5. Family of Sets.- 6. Algebra.- 7. Calculus.- 8. Differential Equations.- 9. Vectors.- 10. Probability.- 11. Fuzzy Sets.- 12. Metric Spaces.- 13. Topology.- 14. Graph Theory.- 15. Matroid Theory.- 16. Recursion and Complexity Theory.- 17. Artificial Neural Network.- 3. Information Retrieval Models.- 1. Classical Models of Information Retrieval.- 2. Nonclassical Models of Information Retrieval.- 3. Alternative Models of Information Retrieval.- 4. Traditional Tree Structure of Information Retrieval Models.- 4. Mathematical Theory of Information Retrieval.- 1. Information Retrieval Frame.- 2. Classical Information Retrieval.- 3. Similarity (vector space) Information Retrieval.- 4. Probabilistic Information Retrieval.- 5. Interaction Information Retrieval.- 6. Boolean Information Retrieval.- 7. Network Structure of Information Retrieval Models.- 5. Relevance Effectiveness in Information Retrieval.- 1. RELEVANCE.- 2. Effectiveness Measures.- 3. Relevance Feedback.- 4. Mathematical Structure in Relevance Feedback.- 5. OPTIMALITY.- 6. Further Topics in Information Retrieval.- 1. Information Retrieval and Decision Making.- 2. Data Fusion.- 3. Interaction and Situation Theory Models.- Appendix 1 Binary Similarity Information Retrieval.- Non-Binary Similarity Information Retrieval (NBSIR).- Appendix 2 Probabilistic Information Retrieval.- Appendix 3 Interaction Information Retrieval.- References.

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9789401038195: Mathematical Foundations of Information Retrieval: Mathematical Modelling Theory and Applications

Vorgestellte Ausgabe

ISBN 10:  9401038198 ISBN 13:  9789401038195
Verlag: Springer, 2012
Softcover