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Large Scale and Big Data
book

Large Scale and Big Data

by Sherif Sakr, Mohamed Gaber
June 2014
Intermediate to advanced content levelIntermediate to advanced
636 pages
23h 13m
English
Auerbach Publications
Content preview from Large Scale and Big Data
419Advanced Algorithms for Efcient Approximate Duplicate Detection
13.5.1.1 False-Positive Rate
A false positive, FP, occurs when a distinct element of the stream is reported as a
duplicate. Consider the FP of e
m+1
, the (m + 1)th element of the stream. The elements
of the stream are assumed to be uniformly drawn at random from a nite universe
Γ, with |Γ| = U.
Let P
unique
be the probability that e
m+1
has not occurred in the rst m elements of the
stream, and let e
m+1
hash to H = {h
1
, h
2
,…, h
k
} positions, where h
i
[1, s] for the ith
Bloom lter. e
m+1
will be reported as a duplicate when all the bit positions in H are set
to 1 after the 
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Publisher Resources

ISBN: 9781466581500