Smaller coresets for k-median and k-means clustering

Sariel Har-Peled; Akash Kushal

doi:10.1007/s00454-006-1271-x

Smaller coresets for k-median and k-means clustering

Sariel Har-Peled, Akash Kushal

Siebel School of Computing and Data Science

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we show that there exists a (k, ε)-coreset for k-median and k-means clustering of n points in ℜ^d which is of size independent of n. In particular, we construct a (k, ε)-coreset of size O(k² / ε^d) for k-median clustering, and of size O(k³ / ε^d+1) for k-means clustering.

Original language	English (US)
Pages (from-to)	3-19
Number of pages	17
Journal	Discrete and Computational Geometry
Volume	37
Issue number	1
DOIs	https://doi.org/10.1007/s00454-006-1271-x
State	Published - Jan 2007

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1007/s00454-006-1271-x

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Smaller coresets for k-median and k-means clustering

Abstract

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