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ISAAC
2005
Springer
122views Algorithms» more  ISAAC 2005»
13 years 10 months ago
Fast k-Means Algorithms with Constant Approximation
In this paper we study the k-means clustering problem. It is well-known that the general version of this problem is NP-hard. Numerous approximation algorithms have been proposed fo...
Mingjun Song, Sanguthevar Rajasekaran
MLDM
2010
Springer
12 years 11 months ago
Fast Algorithms for Constant Approximation k-Means Clustering
In this paper we study the k-means clustering problem. It is well-known that the general version of this problem is NP-hard. Numerous approximation algorithms have been proposed fo...
Mingjun Song, Sanguthevar Rajasekaran
FOCS
2010
IEEE
13 years 2 months ago
Stability Yields a PTAS for k-Median and k-Means Clustering
We consider k-median clustering in finite metric spaces and k-means clustering in Euclidean spaces, in the setting where k is part of the input (not a constant). For the k-means pr...
Pranjal Awasthi, Avrim Blum, Or Sheffet
ALGORITHMICA
2005
108views more  ALGORITHMICA 2005»
13 years 4 months ago
How Fast Is the k-Means Method?
We present polynomial upper and lower bounds on the number of iterations performed by the k-means method (a.k.a. Lloyd's method) for k-means clustering. Our upper bounds are ...
Sariel Har-Peled, Bardia Sadri
ICASSP
2011
IEEE
13 years 2 months ago
Non-flat clustering whith alpha-divergences
The scope of the well-known k-means algorithm has been broadly extended with some recent results: first, the k- means++ initialization method gives some approximation guarantees...
Olivier Schwander, Frank Nielsen