In this paper, we show that there exists a (k, ε)-coreset for k-median and k-means clustering of n points in IRd , which is of size independent of n. In particular, we construct ...
We present a multi-dimensional generalization of the Szemer´edi-Trotter Theorem, and give a sharp bound on the number of incidences of points and not-too-degenerate hyperplanes i...