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ICALP
2005
Springer
15 years 3 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
87
Voted
FOCS
1990
IEEE
15 years 1 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
70
Voted
ASIACRYPT
2008
Springer
14 years 11 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»
15 years 9 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»
15 years 9 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...