The Geometry of Information Retrieval [Hardcover]

An important work on a new framework for information retrieval: implications for artificial intelligence, natural language processing.The author, one of the leading researchers in the area, shows how different models of information retrieval can be combined in the same framework used to formulate the general principles of quantum mechanics. All the standard results can be applied to address problems in IR, such as pseudo-relevance feedback, relevance feedback and ostensive retrieval. The relation with quantum computing is examined. Appendices with background material on physics and mathematics are also included. This is an important boook, with much new material, for all those working in the area.The author, one of the leading researchers in the area, shows how different models of information retrieval can be combined in the same framework used to formulate the general principles of quantum mechanics. All the standard results can be applied to address problems in IR, such as pseudo-relevance feedback, relevance feedback and ostensive retrieval. The relation with quantum computing is examined. Appendices with background material on physics and mathematics are also included. This is an important boook, with much new material, for all those working in the area.Keith Van Rijsbergen demonstrates how different models of information retrieval (IR) can be combined in the same framework used to formulate the general principles of quantum mechanics. All the standard results can be applied to address problems in IR, such as pseudo-relevance feedback, relevance feedback and ostensive retrieval. The relation with quantum computing is examined. Appendices with background material on physics and mathematics are also included.Preface; Prologue; 1. Introduction; 2. On sets and kinds in IR; 3. Vector and Hilbert spaces; 4. Linear transformations, operators and matrices; 5. Conditional logic in IR; 6. The geometry of IR; Appendix I. Linear algebra; Appendix II. Quantum mechanics; Appelc-