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ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
15 years 6 months ago
On Metric Clustering to Minimize the Sum of Radii
Abstract Given an n-point metric (P,d) and an integer k > 0, we consider the problem of covering P by k balls so as to minimize the sum of the radii of the balls. We present a r...
Matt Gibson, Gaurav Kanade, Erik Krohn, Imran A. P...
SODA
2008
ACM
95views Algorithms» more  SODA 2008»
15 years 7 months ago
On clustering to minimize the sum of radii
Matt Gibson, Gaurav Kanade, Erik Krohn, Imran A. P...
STACS
2007
Springer
16 years 4 days 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
EOR
2010
99views more  EOR 2010»
15 years 6 months ago
Min sum clustering with penalties
Traditionally, clustering problems are investigated under the assumption that all objects must be clustered. A shortcoming of this formulation is that a few distant objects, calle...
Refael Hassin, Einat Or
SODA
2008
ACM
200views Algorithms» more  SODA 2008»
15 years 7 months ago
Clustering for metric and non-metric distance measures
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure D. Given a finite set P, our goal is to find a set C of size k such that the s...
Marcel R. Ackermann, Johannes Blömer, Christi...