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JAT
2010
120views more  JAT 2010»
14 years 8 months ago
Error bounds for anisotropic RBF interpolation
We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth fu...
Richard K. Beatson, Oleg Davydov, Jeremy Levesley
83
Voted
SODA
2008
ACM
184views Algorithms» more  SODA 2008»
14 years 11 months ago
Coresets, sparse greedy approximation, and the Frank-Wolfe algorithm
The problem of maximizing a concave function f(x) in a simplex S can be solved approximately by a simple greedy algorithm. For given k, the algorithm can find a point x(k) on a k-...
Kenneth L. Clarkson
64
Voted
CORR
2010
Springer
102views Education» more  CORR 2010»
14 years 9 months ago
Error Analysis of Approximated PCRLBs for Nonlinear Dynamics
In practical nonlinear filtering, the assessment of achievable filtering performance is important. In this paper, we focus on the problem of how to efficiently approximate the post...
Ming Lei, Pierre Del Moral, Christophe Baehr
125
Voted
FOCS
2009
IEEE
15 years 4 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu
77
Voted
JAT
2010
61views more  JAT 2010»
14 years 8 months ago
Close-to-optimal bounds for SU(N) loop approximation
In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. Th...
Peter Oswald, Tatiana Shingel