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{{Short description|Vector clustering algorithms}}
{{Short description|Vector clustering algorithms}}
{{more citations needed|date=May 2018}}
{{more citations needed|date=May 2018}}
The '''BFR algorithm''', named after its inventors Bradley, Fayyad and Reina, is a variant of [[k-means clustering|k-means algorithm]] that is designed to cluster data in a high-dimensional [[Euclidean space]]. It makes a very strong assumption about the shape of clusters: they must be [[Normal distribution|normally distributed]] about a [[centroid]]. The [[mean]] and [[standard deviation]] for a cluster may differ for different dimensions, but the dimensions must be independent.<ref>{{Cite book|title=Mining of Massive Datasets|last=Rajaraman|first=Anand|last2=Ullman|first2=Jeffrey|last3=Leskovec|first3=Jure|publisher=Cambridge University Press|year=2011|isbn=1107015359|location=New York, NY, USA|pages=257–258}}</ref>
The '''BFR algorithm''', named after its inventors Bradley, Fayyad and Reina, is a variant of [[k-means clustering|k-means algorithm]] that is designed to cluster data in a high-dimensional [[Euclidean space]]. It makes a very strong assumption about the shape of clusters: they must be [[Normal distribution|normally distributed]] about a [[centroid]]. The [[mean]] and [[standard deviation]] for a cluster may differ for different dimensions, but the dimensions must be independent.<ref>{{Cite book|title=Mining of Massive Datasets|last=Rajaraman|first=Anand|last2=Ullman|first2=Jeffrey|last3=Leskovec|first3=Jure|publisher=Cambridge University Press|year=2011|isbn=1107015359|location=New York, NY, USA|pages=257–258}}</ref> In other words, the data must take the shape of axis-aligned ellipses.


==References==
==References==

Latest revision as of 14:51, 11 May 2025

The BFR algorithm, named after its inventors Bradley, Fayyad and Reina, is a variant of k-means algorithm that is designed to cluster data in a high-dimensional Euclidean space. It makes a very strong assumption about the shape of clusters: they must be normally distributed about a centroid. The mean and standard deviation for a cluster may differ for different dimensions, but the dimensions must be independent.[1] In other words, the data must take the shape of axis-aligned ellipses.

References

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  1. ^ Rajaraman, Anand; Ullman, Jeffrey; Leskovec, Jure (2011). Mining of Massive Datasets. New York, NY, USA: Cambridge University Press. pp. 257–258. ISBN 1107015359.