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» Fast Moment Estimation in Data Streams in Optimal Space
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ICALP
2009
Springer
14 years 8 months ago
Revisiting the Direct Sum Theorem and Space Lower Bounds in Random Order Streams
Estimating frequency moments and Lp distances are well studied problems in the adversarial data stream model and tight space bounds are known for these two problems. There has been...
Sudipto Guha, Zhiyi Huang
IM
2006
13 years 8 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
CORR
2011
Springer
158views Education» more  CORR 2011»
13 years 3 months ago
Polynomial Estimators for High Frequency Moments
We present an algorithm for computing Fp, the pth moment of an n-dimensional frequency vector of a data stream, for p > 2, to within 1 ± factors, ∈ (0, 1] with high constant...
Sumit Ganguly
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 5 months ago
An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance
We prove an optimal (n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal mu...
Amit Chakrabarti, Oded Regev
PODS
2005
ACM
131views Database» more  PODS 2005»
14 years 8 months ago
Space efficient mining of multigraph streams
The challenge of monitoring massive amounts of data generated by communication networks has led to the interest in data stream processing. We study streams of edges in massive com...
Graham Cormode, S. Muthukrishnan