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SODA
2004
ACM
87views Algorithms» more  SODA 2004»
15 years 7 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
KDD
2003
ACM
99views Data Mining» more  KDD 2003»
16 years 6 months ago
Fragments of order
High-dimensional collections of 0-1 data occur in many applications. The attributes in such data sets are typically considered to be unordered. However, in many cases there is a n...
Aristides Gionis, Teija Kujala, Heikki Mannila
INFOCOM
2011
IEEE
14 years 9 months ago
Approximate distance queries and compact routing in sparse graphs
—An approximate distance query data structure is a compact representation of a graph, and can be queried to approximate shortest paths between any pair of vertices. Any such data...
Rachit Agarwal, Philip Brighten Godfrey, Sariel Ha...
FAW
2008
Springer
104views Algorithms» more  FAW 2008»
15 years 8 months ago
The Parameterized Complexity of the Rectangle Stabbing Problem and Its Variants
We study the parameterized complexity of an NP-complete geometric covering problem called d-dimensional Rectangle Stabbing where we are given a set of axis-parallel d-dimensional h...
Michael Dom, Somnath Sikdar
MP
2008
101views more  MP 2008»
15 years 6 months ago
Accelerating the cubic regularization of Newton's method on convex problems
In this paper we propose an accelerated version of the cubic regularization of Newton's method [6]. The original version, used for minimizing a convex function with Lipschitz...
Yu. Nesterov