The space complexity of approximating the frequency moments

Noga Alon, Yossi Matias, Márió Szegedy · 1996

The frequency moments of a sequence containing m i elements of type i, for 1 i n, are the numbers Fk = P n i=1 m k i . We consider the space complexity of randomized algorithms that approximate the numbers Fk , when the elements of the sequence are given one by one and cannot be stored. Surprisingly, it turns out that the numbers F0

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