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CORR
2007
Springer

Dirac Notation, Fock Space and Riemann Metric Tensor in Information Retrieval Models

11 years 11 months ago
Dirac Notation, Fock Space and Riemann Metric Tensor in Information Retrieval Models
Using Dirac Notation as a powerful tool, we investigate the three classical Information Retrieval (IR) models and some their extensions. We show that almost all such models can be described by vectors in Occupation Number Representations (ONR) of Fock spaces with various specifications on, e.g., occupation number, inner product or termterm interactions. As an important case of study, the basic formulas for Singular Value Decomposition (SVD) of Latent Semantic Indexing (LSI) Model are manipulated in terms of Dirac notation. And, based on SVD, a Riemannian metric tensor is introduced, which not only can be used to calculate the relevance of documents to a query, but also may be used to measure the closeness of documents in data clustering. Table of Contents
Xing M. Wang
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where CORR
Authors Xing M. Wang
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