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STOC
2005
ACM
143views Algorithms» more  STOC 2005»
15 years 10 months ago
Optimal approximations of the frequency moments of data streams
We give a 1-pass ~O(m1-2/k )-space algorithm for computing the k-th frequency moment of a data stream for any real k > 2. Together with the lower bounds of [1, 2, 4], this reso...
Piotr Indyk, David P. Woodruff
FOCS
2008
IEEE
15 years 4 months ago
On the Value of Multiple Read/Write Streams for Approximating Frequency Moments
We consider the read/write streams model, an extension of the standard data stream model in which an algorithm can create and manipulate multiple read/write streams in addition to...
Paul Beame, Dang-Trinh Huynh-Ngoc
SODA
2004
ACM
87views Algorithms» more  SODA 2004»
14 years 11 months ago
Optimal space lower bounds for all frequency moments
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
David P. Woodruff
CORR
2010
Springer
72views Education» more  CORR 2010»
14 years 10 months ago
Fast Moment Estimation in Data Streams in Optimal Space
We give a space-optimal algorithm with update time O(log2 (1/) log log(1/)) for (1
Daniel M. Kane, Jelani Nelson, Ely Porat, David P....
CORR
2008
Springer
127views Education» more  CORR 2008»
14 years 10 months ago
A Very Efficient Scheme for Estimating Entropy of Data Streams Using Compressed Counting
Compressed Counting (CC) was recently proposed for approximating the th frequency moments of data streams, for 0 < 2. Under the relaxed strict-Turnstile model, CC dramaticall...
Ping Li