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» Optimal approximations of the frequency moments of data stre...
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FAW
2008
Springer
110views Algorithms» more  FAW 2008»
13 years 8 months ago
Estimating Hybrid Frequency Moments of Data Streams
Sumit Ganguly, Mohit Bansal, Shruti Dube
STOC
2010
ACM
199views Algorithms» more  STOC 2010»
13 years 11 months ago
Zero-One Frequency Laws
Data streams emerged as a critical model for multiple applications that handle vast amounts of data. One of the most influential and celebrated papers in streaming is the “AMSâ...
Vladimir Braverman and Rafail Ostrovsky
STOC
1996
ACM
101views Algorithms» more  STOC 1996»
13 years 10 months ago
The Space Complexity of Approximating the Frequency Moments
The frequency moments of a sequence containing mi elements of type i, for 1 i n, are the numbers Fk = n i=1 mk i . We consider the space complexity of randomized algorithms that...
Noga Alon, Yossi Matias, Mario Szegedy
COCO
2003
Springer
162views Algorithms» more  COCO 2003»
13 years 11 months ago
Near-Optimal Lower Bounds on the Multi-Party Communication Complexity of Set Disjointness
We study the communication complexity of the set disjointness problem in the general multi-party model. For t players, each holding a subset of a universe of size n, we establish ...
Amit Chakrabarti, Subhash Khot, Xiaodong Sun
IM
2006
13 years 6 months ago
Estimating Entropy and Entropy Norm on Data Streams
We consider the problem of computing information theoretic functions such as entropy on a data stream, using sublinear space. Our first result deals with a measure we call the &quo...
Amit Chakrabarti, Khanh Do Ba, S. Muthukrishnan