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ICALP
2005
Springer
14 years 4 months ago
Linear Time Algorithms for Clustering Problems in Any Dimensions
Abstract. We generalize the k-means algorithm presented by the authors [14] and show that the resulting algorithm can solve a larger class of clustering problems that satisfy certa...
Amit Kumar, Yogish Sabharwal, Sandeep Sen
FOCS
1990
IEEE
14 years 3 months ago
Parallel Linear Programming in Fixed Dimension Almost Surely in Constant Time
For any xed dimension d, the linear programming problem with n inequality constraints can be solved on a probabilistic CRCW PRAM with O(n) processors almost surely in constant time...
Noga Alon, Nimrod Megiddo
ASIACRYPT
2008
Springer
14 years 1 months ago
Solving Linear Equations Modulo Divisors: On Factoring Given Any Bits
We study the problem of finding solutions to linear equations modulo an unknown divisor p of a known composite integer N. An important application of this problem is factorization ...
Mathias Herrmann, Alexander May
STOC
2002
ACM
103views Algorithms» more  STOC 2002»
14 years 11 months ago
Approximate clustering via core-sets
In this paper, we show that for several clustering problems one can extract a small set of points, so that using those core-sets enable us to perform approximate clustering effici...
Mihai Badoiu, Sariel Har-Peled, Piotr Indyk
STOC
2003
ACM
140views Algorithms» more  STOC 2003»
14 years 11 months ago
Approximation schemes for clustering problems
We present a general approach for designing approximation algorithms for a fundamental class of geometric clustering problems in arbitrary dimensions. More specifically, our appro...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...