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DAGSTUHL
2007
15 years 6 months ago
Approximating min-max k-clustering
We consider the problems of set partitioning into k clusters with minimum total cost and minimum of the maximum cost of a cluster. The cost function is given by an oracle, and we ...
Asaf Levin
STOC
2002
ACM
103views Algorithms» more  STOC 2002»
16 years 5 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
147
Voted
GPEM
2007
119views more  GPEM 2007»
15 years 4 months ago
Genomic mining for complex disease traits with "random chemistry"
Our rapidly growing knowledge regarding genetic variation in the human genome offers great potential for understanding the genetic etiology of disease. This, in turn, could revolut...
Margaret J. Eppstein, Joshua L. Payne, Bill C. Whi...
SODA
2012
ACM
196views Algorithms» more  SODA 2012»
13 years 7 months ago
Polytope approximation and the Mahler volume
The problem of approximating convex bodies by polytopes is an important and well studied problem. Given a convex body K in Rd , the objective is to minimize the number of vertices...
Sunil Arya, Guilherme Dias da Fonseca, David M. Mo...
ALGORITHMICA
2008
78views more  ALGORITHMICA 2008»
15 years 5 months ago
Optimally Adaptive Integration of Univariate Lipschitz Functions
We consider the problem of approximately integrating a Lipschitz function f (with a known Lipschitz constant) over an interval. The goal is to achieve an error of at most using as...
Ilya Baran, Erik D. Demaine, Dmitriy A. Katz