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» Complexity bounds for zero-test algorithms
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SODA
2004
ACM
87views Algorithms» more  SODA 2004»
13 years 9 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
INFOCOM
1995
IEEE
13 years 11 months ago
Complexity of Gradient Projection Method for Optimal Routing in Data Networks
—In this paper, we derive a time-complexity bound for the gradient projection method for optimal routing in data networks. This result shows that the gradient projection algorith...
Wei Kang Tsai, John K. Antonio, Garng M. Huang
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 5 months ago
On the Exact Space Complexity of Sketching and Streaming Small Norms
We settle the 1-pass space complexity of (1 ? )approximating the Lp norm, for real p with 1 p 2, of a length-n vector updated in a length-m stream with updates to its coordinate...
Daniel M. Kane, Jelani Nelson, David P. Woodruff
APAL
2004
105views more  APAL 2004»
13 years 7 months ago
Dual weak pigeonhole principle, Boolean complexity, and derandomization
We study the extension (introduced as BT in [5]) of the theory S1 2 by instances of the dual (onto) weak pigeonhole principle for p-time functions, dWPHP(PV )x x2 . We propose a n...
Emil Jerábek
FOCS
2000
IEEE
14 years 4 days ago
Fast parallel circuits for the quantum Fourier transform
We give new bounds on the circuit complexity of the quantum Fourier transform (QFT). We give an upper bound of Ç´ÐÓ Ò · ÐÓ ÐÓ ´½ µµ on the circuit depth for computin...
Richard Cleve, John Watrous