Coresets for $k$-median clustering under Fréchet and Hausdorff distances
Abhinandan Nath
Abstract:We give algorithms for computing coresets for (1 + ε)-approximate k-median clustering of polygonal curves (under the discrete and continuous Fréchet distance) and point sets (under the Hausdorff distance), when the cluster centers are restricted to be of low complexity. Ours is the first such result, where the size of the coreset is independent of the number of input curves/point sets to be clustered (although it still depends on the maximum complexity of each input object). Specifically, the size of the cores… Show more
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