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AAECC
2010
Springer
132views Algorithms» more  AAECC 2010»
13 years 7 months ago
On the geometry of polar varieties
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary to prove the correctness of several up to date algorithms with intrinsic complex...
Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey ...
FSTTCS
2009
Springer
14 years 2 months ago
Fractional Pebbling and Thrifty Branching Programs
We study the branching program complexity of the tree evaluation problem, introduced in [BCM+09a] as a candidate for separating NL from LogCFL. The input to the problem is a roote...
Mark Braverman, Stephen A. Cook, Pierre McKenzie, ...
JC
2000
138views more  JC 2000»
13 years 7 months ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan
ICML
2009
IEEE
14 years 8 months ago
Efficient Euclidean projections in linear time
We consider the problem of computing the Euclidean projection of a vector of length n onto a closed convex set including the 1 ball and the specialized polyhedra employed in (Shal...
Jun Liu, Jieping Ye
ICDT
2009
ACM
105views Database» more  ICDT 2009»
14 years 8 months ago
Efficient data structures for range-aggregate queries on trees
Graph-theoretic aggregation problems have been considered both in OLAP (grid graph) and XML (tree). This paper gives new results for MIN aggregation in a tree, where we want the M...
Hao Yuan, Mikhail J. Atallah