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On the geometry of similarity search: Dimensionality curse and concentration of measure

Information Processing LettersPublished 1 January 2000
Vladimir Pestov
Citations112
SJR quartileQ3
SJR score0.41
SNIP0.73

TL;DR

It is suggested that the curse of dimensionality affecting the similarity-based search in large datasets is a manifestation of the phenomenon of concentration of measure on high-dimensional structures.

Abstract

We suggest that the curse of dimensionality affecting the similarity-based search in large datasets is a manifestation of the phenomenon of concentration of measure on high-dimensional structures.

Keywords

Computer Science