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» Bounding Smooth Integers
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STOC
2009
ACM
133views Algorithms» more  STOC 2009»
14 years 8 months ago
Numerical linear algebra in the streaming model
We give near-optimal space bounds in the streaming model for linear algebra problems that include estimation of matrix products, linear regression, low-rank approximation, and app...
Kenneth L. Clarkson, David P. Woodruff
APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
14 years 1 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze
ESA
2007
Springer
100views Algorithms» more  ESA 2007»
14 years 1 months ago
Radix Sorting with No Extra Space
It is well known that n integers in the range [1, nc ] can be sorted in O(n) time in the RAM model using radix sorting. More generally, integers in any range [1, U] can be sorted i...
Gianni Franceschini, S. Muthukrishnan, Mihai Patra...
CORR
2008
Springer
162views Education» more  CORR 2008»
13 years 7 months ago
Compressed Modular Matrix Multiplication
Matrices of integers modulo a small prime can be compressed by storing several entries into a single machine word. Modular addition is performed by addition and possibly subtracti...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
DAM
2007
52views more  DAM 2007»
13 years 7 months ago
On the degree of homogeneous bent functions
Abstract. It is well known that the degree of a 2m-variable bent function is at most m. However, the case in homogeneous bent functions is not clear. In this paper, it is proved th...
Qingshu Meng, Huanguo Zhang, Min Yang, Jingsong Cu...