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2007
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Norm, Point, and Distance Estimation Over Multiple Signals Using Max-Stable Distributions

12 years 1 months ago
Norm, Point, and Distance Estimation Over Multiple Signals Using Max-Stable Distributions
Consider a set of signals fs : {1, . . . , N} [0, . . . , M] appearing as a stream of tuples (i, fs(i)) in arbitrary order of i and s. We would like to devise one pass approximate algorithms for estimating various functionals on the dominant signal fmax, defined as fmax = {(i, maxs fs(i)), i}. For example, the "worst case influence" which is the F1? norm of the dominant signal [7], general Fp?norms, and special types of distances between dominant signals. The only known previous work in this setting are the algorithms of Cormode and Muthukrishnan [7] and Pavan and Tirthapura [18] which can only estimate the F1?norm over fmax. No previous work addressed more general norms or distance estimation. In this work, we use a novel sketch, based on the properties of max?stable distributions, for these more general problems. The max?stable sketch is a significant improvement over previous alternatives in terms of simplicity of implementation, space requirements, and insertion cost, w...
Stilian Stoev, Marios Hadjieleftheriou, George Kol
Added 01 Nov 2009
Updated 01 Nov 2009
Type Conference
Year 2007
Where ICDE
Authors Stilian Stoev, Marios Hadjieleftheriou, George Kollios, Murad S. Taqqu
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