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Estimating Hybrid Frequency Moments of Data Streams

机译:估计数据流的混合频率矩

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A two-dimensional stream is a sequence of coordinate-wise updates to a two-dimensional array (A_(i,j))_1≤i,j≤n. The hybrid frequency moments F_(p,q)(A) is denned as F_(p,q)(A) = ∑_(j=1)~n(∑_(i=1)~n|A_(ij)|~p)~q. For every 0 < ∈ < 1 and p,q ∈ [0, 2], we present an O(∈~(-6)poly(log n, log m,log(1/∈))) space algorithm for the problem of estimating F_(p,q), where, m is an upper bound on max_(i,j)|A_(i,j)|.
机译:二维流是对二维数组(A_(i,j))_1≤i,j≤n进行坐标更新的序列。混合频率矩F_(p,q)(A)定义为F_(p,q)(A)= ∑_(j = 1)〜n(∑_(i = 1)〜n | A_(ij) |〜p)〜q。对于每0 <∈<1和p,q∈[0,2],我们提出一个O(∈〜(-6)poly(log n,log m,log(1 /∈)))空间算法估计F_(p,q),其中,m是max_(i,j)| A_(i,j)|的上限。

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