Overview

This work offers a comprehensive and consistent mathematical approach to information retrieval (IR) without which no implementation is possible, and sheds an entirely new light upon the structure of IR models. It contains the descriptions of all IR models in a unified formal style and language, along with examples for each, thus offering a comprehensive overview of them. The book also creates mathematical foundations and a consistent mathematical theory (including all mathematical results achieved so far) of IR as a stand-alone mathematical discipline, which thus can be read and taught independently. Also, the book contains all necessary mathematical knowledge on which IR relies, to help the reader avoid searching different sources.

Full Product Details

Author:   S. Dominich
Publisher:   Springer
Imprint:   Springer
Edition:   2001 ed.
Volume:   12
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.350kg
ISBN:  

9780792368618

ISBN 10:   0792368614
Pages:   284
Publication Date:   31 March 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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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