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FOCS
1999
IEEE
13 years 9 months ago
A Sublinear Time Approximation Scheme for Clustering in Metric Spaces
The metric 2-clustering problem is de ned as follows: given a metric (X;d), partition X into two sets S1 and S2 in order to minimize the value of X i X fu;vg Si d(u;v) In this pap...
Piotr Indyk
ICALP
2004
Springer
13 years 10 months ago
Sublinear-Time Approximation for Clustering Via Random Sampling
Abstract. In this paper we present a novel analysis of a random sampling approach for three clustering problems in metric spaces: k-median, min-sum kclustering, and balanced k-medi...
Artur Czumaj, Christian Sohler
RECOMB
2006
Springer
14 years 5 months ago
A Sublinear-Time Randomized Approximation Scheme for the Robinson-Foulds Metric
The Robinson-Foulds (RF) metric is the measure most widely used in comparing phylogenetic trees; it can be computed in linear time using Day's algorithm. When faced with the n...
Nicholas D. Pattengale, Bernard M. E. Moret
STACS
2007
Springer
13 years 11 months ago
Small Space Representations for Metric Min-Sum k -Clustering and Their Applications
The min-sum k-clustering problem is to partition a metric space (P, d) into k clusters C1, . . . , Ck ⊆ P such that k i=1 p,q∈Ci d(p, q) is minimized. We show the first effi...
Artur Czumaj, Christian Sohler
ICALP
2005
Springer
13 years 10 months ago
Facility Location in Sublinear Time
Abstract. In this paper we present a randomized constant factor approximation algorithm for the problem of computing the optimal cost of the metric Minimum Facility Location proble...
Mihai Badoiu, Artur Czumaj, Piotr Indyk, Christian...