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Kernel density estimation via diffusion and the complex exponentials approximation problem
condensed density random matrices parabolic PDE
2012/6/21
A kernel method is proposed to estimate the condensed density of the generalized eigenvalues of pencils of Hankel matrices whose elements have a joint noncentral Gaussian distribution with nonidentica...
On the power of function values for the approximation problem in various settings
function values the approximation problem various settings
2010/11/22
This is an expository paper on approximating functions from general Hilbert or Banach spaces in the worst case, average case and randomized settings with error measured in the $L_p$ sense. We define ...
Rate of Convergence and Tractability of the Radial Function Approximation Problem
Gaussian kernel reproducing kernel Hilbert spaces shape parameter
2011/1/21
This article studies the problem of approximating functions belonging to a Hilbert space Hd with an isotropic or anisotropic Gaussian reproducing kernel.
The distributed control approximation of pointwise control for the hyperbolic system isconsidered. First, it is, shown that there is a unique solution in C([0,T];L~2(Ω))for the hyperbolic system with ...