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Multivariate nonparametric regression by least squares Jacobi polynomials approximations
Asma BenSaber, Sophie Dabo-Niang, Abderrazek Karoui
In this work, we study a random orthogonal projection based least squares estimator for the stable solution of a multivariate nonparametric regression (MNPR) problem. More precisel…
Random matrices based schemes for stable and robust nonparametric and functional regression estimators
Asma Ben Saber, Abderrazek Karoui
In the first part of this work, we develop a novel scheme for solving nonparametric regression problems. That is the approximation of possibly low regular and noised functions from…
Reproducing kernels based schemes for nonparametric regression
Bilel Bousselmi, Jean-François Dupuy, Abderrazek Karoui
In this work, we develop and study an empirical projection operator scheme for solving nonparametric regression problems. This scheme is based on an approximate projection of the r…