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On the resemblance and containment of documents

. Compression and Complexity of Sequences, page 21--29. Salerno, Italy, IEEE Computer Society Press, (June 1997)

Abstract

Given two documents A and B we define two mathematical notions: their resemblance r(A, B) and their containment c(A, B) that seem to capture well the informal notions of “roughly the same� and “roughly contained.� The basic idea is to reduce these issues to set intersection problems that can be easily evaluated by a process of random sampling that can be done independently for each document. Furthermore, the resemblance can be evaluated using a fixed size sample for each document. This paper discusses the mathematical properties of these measures and the efficient implementation of the sampling process using Rabin (1981) fingerprints

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