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Abstract: This paper introduces a class of probabilistic counting lgorithms with which one can estimate the number of distinct elements in a large collection of data (typically a large file stored on disk) in a single pass using only a small additional storage (typically less than a hundred binary words) and only a few operations per element scanned. The algorithms are based on statistical observations made on bits of hashed values of records. They are by con- struction totally insensitive to the... (Update)
Context of citations to this paper: More
.... several large data set applications (e.g. the number of distinct queries made to a search engine over a week) Flajolet and Martin [FM85] designed the first algorithm for approximating F 0 in the data stream (or what was then thought of as a one pass) model. Unfortunately,...
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BibTeX entry: (Update)
P. Flajolet and G.N. Martin. Probabilistic counting algorithms for database applications. Journal of Computer and System Sciences, 31(2):182--209, Oct. 1985. http://citeseer.ist.psu.edu/flajolet85probabilistic.html More
@article{ flajolet85probabilistic,
author = "Philippe Flajolet and G. Nigel Martin",
title = "Probabilistic Counting Algorithms for Data Base Applications",
journal = "Journal of Computer and System Sciences",
volume = "31",
number = "2",
pages = "182-209",
year = "1985",
url = "citeseer.ist.psu.edu/flajolet85probabilistic.html" }
Citations (may not include all citations):35 Handbuch der Laplace-Transformation (context) - DOETSCH - 1950
26 Probabilistic counting (context) - ANON - 1983 DBLP
25 Approximate counting: A detailed analysis (context) - FLAJOLET - 1985 ACM DBLP
18 Counting large numbers of events in small registers (context) - MORRIS - 1978 ACM DBLP
12 Sorting and searching in multisets (context) - MUNRO, SPIRA - 1976 DBLP
9 Access Path Selection in A Relational Database Management Sy.. (context) - SELINGER, ASTRAHAN et al. - 1979 ACM DBLP
2 Key to address transformations: A fundamental study based on.. (context) - LUM, YUEN et al. - 1971
1 The Art of Computer Programming: Sorting and Searching (context) - KNUTn - 1973
The graph only includes citing articles where the year of publication is known.
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