The Modern Algebra of Information Retrieval

By Sándor Dominich

The Modern Algebra of Information Retrieval Cover Image

  • ISBN13: 978-3-5407-7658-1
  • 344 Pages
  • User Level: Science
  • Publication Date: April 3, 2008
  • Available eBook Formats: PDF
  • eBook Price: $129.00
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Full Description
This book takes a unique approach to information retrieval by laying down the foundations for a modern algebra of information retrieval based on lattice theory. All major retrieval methods developed so far are described in detail – Boolean, Vector Space and probabilistic methods, but also Web retrieval algorithms like PageRank, HITS, and SALSA – and the author shows that they all can be treated elegantly in a unified formal way, using lattice theory as the one basic concept. Further, he also demonstrates that the lattice-based approach to information retrieval allows us to formulate new retrieval methods. Sándor Dominich’s presentation is characterized by an engineering-like approach, describing all methods and technologies with as much mathematics as needed for clarity and exactness. His readers in both computer science and mathematics will learn how one single concept can be used to understand the most important retrieval methods, to propose new ones, and also to gain new insights into retrieval modeling in general. Thus, his book is appropriate for researchers and graduate students, who will additionally benefit from the many exercises at the end of each chapter.
Table of Contents

Table of Contents

  1. 1) Introduction
  2. 2) Mathematical Basics
  3. 3) Elements of Lattice Theory
  4. 4) Basics of Information Retrieval Theory
  5. 5) Lattice
  6. Based Retrieval Systems
  7. 6) Boolean Retrieval
  8. 7) Lattices of Subspaces and Projectors
  9. 8) Vector Space Retrieval
  10. 9) Fuzzy Algebra
  11. Based Retrieval
  12. 10) Probabilistic Retrieval
  13. 11) Web Retrieval and Ranking
  14. Solutions to Exercises and Problems, References, Index.
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