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» Computing the median with uncertainty
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COMPGEOM
2006
ACM
14 years 3 months ago
How to get close to the median shape
In this paper, we study the problem of L1-fitting a shape to a set of point, where the target is to minimize the sum of distances of the points to the shape, or alternatively the...
Sariel Har-Peled
SIGMOD
1998
ACM
96views Database» more  SIGMOD 1998»
14 years 2 months ago
Approximate Medians and other Quantiles in One Pass and with Limited Memory
We present new algorithms for computing approximate quantiles of large datasets in a single pass. The approximation guarantees are explicit, and apply without regard to the value ...
Gurmeet Singh Manku, Sridhar Rajagopalan, Bruce G....
SDM
2009
SIAM
219views Data Mining» more  SDM 2009»
14 years 7 months ago
A Hybrid Data Mining Metaheuristic for the p-Median Problem.
Metaheuristics represent an important class of techniques to solve, approximately, hard combinatorial optimization problems for which the use of exact methods is impractical. In t...
Alexandre Plastino, Erick R. Fonseca, Richard Fuch...
FOCS
2010
IEEE
13 years 7 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
ESA
2000
Springer
104views Algorithms» more  ESA 2000»
14 years 1 months ago
Efficient Algorithms for Centers and Medians in Interval and Circular-Arc Graphs
The p-center problem is to locate p facilities on a network so as to minimize the largest distance from a demand point to its nearest facility. The p-median problem is to locate p ...
Sergei Bespamyatnikh, Binay K. Bhattacharya, J. Ma...