Introduction to information retrieval and quantum mechanics
type: Item
instance of: scholarly article
title: Introduction to information retrieval and quantum mechanics
zbMATH Open document ID: 1334.68003
DOI: 10.1007/978-3-662-48313-8
author: Massimo Melucci
published in: The Information Retrieval Series
publication date: 2015-09-23T00:00:00Z
review text: The book indicates the relation between information retrieval (IR) and quantum mechanics. Information retrieval is the subfield of computer science that deals with the retrieval of text documents that are described by a set of terms (words). The retrieved documents have to be similar to the set of the described words and should be relevant to the user. The sets of relevant or non-relevant documents have to be specified or learned during the information retrieval task. A document may be relevant to a user or not. Documents can be described by a set of terms or by a vector. Each dimension of the vector indicates the frequency of the occurrence of the term in the document multiplied with the information of the word in relation to the whole document set. The information is measured by the logarithm of the probability of the occurrence of the term in the document set. The similarity between documents is measured as the cosine of the angle of the vectors that describe them. The angle is equivalent to the Euclidean distance between the two normalised vectors. This representation is somehow related to the representation of a quantum state by normalised vectors representing the corresponding amplitudes. The book uses the mathematical framework that is used in quantum mechanics to describe information retrieval. It is not about quantum phenomena in information retrieval. In Chapter one, the main approaches to information retrieval are introduced. Relevance feedback is described as a way of user interaction with the information retrieval system. Then two different main approaches are described, Boolean logic and the vector space model. Document queries and Boolean logic are based on sets and operators. The Boolean logic is extend through weight functions. Weight functions are represented by sets that are identified with the vector representation. Motivated by this fact, the Dirac notation for a normalised complex vector is introduced together with the scalar product and densit…
reviewed by: Andreas Wichert
Mathematics Subject Classification ID: 68-01
Mathematics Subject Classification ID: 68Q12
Mathematics Subject Classification ID: 68P20
Mathematics Subject Classification ID: 81P68
zbMATH DE Number: 6484781
zbMATH Keywords: information retrieval
zbMATH Keywords: quantum formalism
zbMATH Keywords: Dirac notation
zbMATH Keywords: quantum algorithms
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-662-48313-8
OpenAlex ID: W2407936315
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description: scientific article; zbMATH DE number 6484781