FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
On coresets for k-means and k-median clustering
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Algorithms for dynamic geometric problems over data streams
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Coresets in dynamic geometric data streams
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Smaller coresets for k-median and k-means clustering
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
Sampling in dynamic data streams and applications
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
On k-Median clustering in high dimensions
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Coresets forWeighted Facilities and Their Applications
FOCS '06 Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science
Counting distinct items over update streams
Theoretical Computer Science
A PTAS for k-means clustering based on weak coresets
SCG '07 Proceedings of the twenty-third annual symposium on Computational geometry
Memoryless facility location in one pass
STACS'06 Proceedings of the 23rd Annual conference on Theoretical Aspects of Computer Science
Facility location in sublinear time
ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
Online and incremental algorithms for facility location
ACM SIGACT News
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We present a randomized algorithm that maintains a constant factor approximation for the cost of the facility location problem in the dynamic geometric data stream model. In this model, the input is a sequence of insert and delete operations of points from a discrete space { 1 ...Δ}d, where dis a constant. The algorithm needs $\log^{\mathcal{O}(1)}\Delta$ time to process an insertion or deletion of a point, uses $\log^{\mathcal{O}(1)}\Delta$ bits of storage, and has a failure probability of 1/Δ茂戮驴(1).