Numerical results concerning a sharp adaptive density estimator

Penalized contrast estimator for adaptive density deconvolution

The authors consider the problem of estimating the density g of independent and identically distributed variables Xi, from a sample Z1, . . . , Zn where Zi = Xi + σεi, i = 1, . . . , n, ε is a noise independent of X, with σε having known distribution. They present a model selection procedure allowing to construct an adaptive estimator of g and to find non-asymptotic bounds for its L2(R)-risk. T...

On the Numerical Performance of a Sharp a Posteriori Error Estimator for Some Nonlinear Elliptic Problems

Karátson and Korotov developed a sharp upper global a posteriori error estimator for a large class of nonlinear problems of elliptic type, see J.Karátson, S.Korotov (2009). The goal of this paper is to check its numerical performance, and to demonstrate the efficiency and accuracy of this estimator on the base of quasilinear elliptic equations of the second order. The focus will be on the techn...

Some Results concerning Adaptive Logic Networks

A New Adaptive Density Estimator for Particle-Tracing Radiosity

In particle-tracing radiosity algorithms, energy-carrying particles are traced through an environment for simulating global illumination. Illumination on a surface is reconstructed from particle “hit points” on the surface, which is a density estimation problem [ I l l . Several methods can be used to solve this problem, such as the adaptive meshing method [14], the kernel method [Is], and the ...

A Variant of EFICA Algorithm with Adaptive Parametric Density Estimator

FastICA is a popular method for Independent Component Analysis used for separation of linearly mixed independent sources. The separation proceeds through optimization of a contrast function that is based on kurtosis or other entropy approximations using a nonlinear function. The EFICA algorithm is a recently proposed version of this algorithm that is asymptotically efficient when all source dis...