Presentation 2013-03-18
Reservoir sampling in stream using O(loglogn) space
Naoto SONODA, Yukiko YAMAUCHI, Shuji KIJIMA, Masafumi YAMASHITA,
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Abstract(in English) This paper presents a simple algorithm for uniform sampling of elements in a stream; that is for reservoir sampling uses memory of O(loglogn)bits for an input stream with length n, without knowing an approximate value of n in advance. The idea of our algorithm is based on the Bernoulli sampling algorithm by Ogata et al (2011). Ogata's algorithm samples uniformly using memory of O(loglogn)bits, but the number of samples is not fixed. 0n the other hand, our algorithm outputs exactly c elements for samples of the stream. Using this algorithm, we present a randomized approximation algorithm for the difference of the frequency of elements between streams.
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Keyword(in English) reservoir sampling / space complexity / streaming algorithm / difference of frequency / randomize approximation algorithm
Paper # COMP2012-53
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Committee COMP
Conference Date 2013/3/11(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Reservoir sampling in stream using O(loglogn) space
Sub Title (in English)
Keyword(1) reservoir sampling
Keyword(2) space complexity
Keyword(3) streaming algorithm
Keyword(4) difference of frequency
Keyword(5) randomize approximation algorithm
1st Author's Name Naoto SONODA
1st Author's Affiliation Kyushu University()
2nd Author's Name Yukiko YAMAUCHI
2nd Author's Affiliation Kyushu University
3rd Author's Name Shuji KIJIMA
3rd Author's Affiliation Kyushu University
4th Author's Name Masafumi YAMASHITA
4th Author's Affiliation Kyushu University
Date 2013-03-18
Paper # COMP2012-53
Volume (vol) vol.112
Number (no) 498
Page pp.pp.-
#Pages 8
Date of Issue