Estimating dominance norms of multiple data streams

DMCA

Estimating dominance norms of multiple data streams (2003)

Cached

Download Links

Other Repositories/Bibliography

DBLP

by Graham Cormode , S. Muthukrishnan

Venue:	in Proceedings of the 11th European Symposium on Algorithms (ESA
Citations:	29 - 8 self

BibTeX

@INPROCEEDINGS{Cormode03estimatingdominance,
    author = {Graham Cormode and S. Muthukrishnan},
    title = {Estimating dominance norms of multiple data streams},
    booktitle = {in Proceedings of the 11th European Symposium on Algorithms (ESA},
    year = {2003},
    pages = {148--160}
}

OpenURL

Abstract

Abstract. There is much focus in the algorithms and database communities on designing tools to manage and mine data streams. Typically, data streams consist of multiple signals. Formally, a stream of multiple signals is (i, ai,j) where i’s correspond to the domain, j’s index the different signals and ai,j ≥ 0 give the value of the jth signal at point i. We study the problem of finding norms that are cumulative of the multiple signals in the data stream. For example, consider the max-dominance norm, defined as i maxj{ai,j}. It may be thought as estimating the norm of the “upper envelope ” of the multiple signals, or alternatively, as estimating the norm of the “marginal ” distribution of tabular data streams. It is used in applications to estimate the “worst case influence” of multiple processes,for example in IP traffic analysis, electrical grid monitoring and financial domain. In addition, it is a natural measure, generalizing the union of data streams or counting distinct elements in data streams. We present the first known data stream algorithms for estimating max-dominance of multiple signals. In particular, we use workspace and time-per-item that are both sublinear (in fact, poly-logarithmic) in the input size. In contrast other notions of dominance on streams a, b — min-dominance ( i minj{ai,j}), countdominance (|{i|ai> bi}|) or relative-dominance ( i ai / max{1, bi} ) — are all impossible to estimate accurately with sublinear space. 1

Keyphrases

multiple signal data stream dominance norm multiple data stream much focus data stream algorithm tabular data stream database community jth signal different signal natural measure ip traffic analysis electrical grid monitoring distinct element financial domain multiple process minj ai sublinear space input size max-dominance norm marginal distribution maxj ai data stream consist case influence contrast notion upper envelope

DMCA