Optimal Approximations of the Frequency Moments Piotr Indyk MIT

We give a 1-pass Õ(m1−2/k)-space algorithm for computing the k-th frequency moment of a data stream for any real k > 2. Together with the lower bounds of [1, 2, 3], this resolves the main problem left open by Alon et al in 1996 [1]. Our algorithm additionally works for streams with deletions and thus gives an Õ(m1−2/p) space algorithm for the Lp difference… CONTINUE READING