27 citations · 122 across the 18 of their papers we have counts for
18 papers
A Distribution Free Truncated Kernel Ridge Regression Estimator and Related Spectral Analyses
Asma Ben Saber, Abderrazek Karoui
It is well known that kernel ridge regression (KRR) is a popular nonparametric regression estimator. Nonetheless, in the presence of a large data set with size the KRR es…
A Stable Jacobi polynomials based least squares regression estimator associated with an ANOVA decomposition model
Mohamed Jebalia, Abderrazek Karoui
In this work, we construct a stable and fairly fast estimator for solving non-parametric multidimensional regression problems. The proposed estimator is based on the use of multiva…
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…
Discrete Prolate Spheroidal Wave Functions: Further spectral analysis and some related applications
M. Boulsane, N. H. Bourguiba, A. Karoui
For fixed and positive integer the discrete prolate spheroidal wave functions (DPSWFs), denoted by form the…
Weighted Finite Laplace Transform Operator: Spectral Analysis and Quality of Approximation by its Eigenfunctions
NourElHouda Bourguiba, Abderrazek Karoui
For two real numbers we study some spectral properties of the weighted finite bilateral Laplace transform operator, defined over the space …
Non-Asymptotic behaviour of the spectrum of the Sinc Kernel Operator and Related Applications
Aline Bonami, Philippe Jaming, Abderrazek Karoui
Prolate spheroidal wave functions have recently attracted a lot of attention in applied harmonic analysis, signal processing and mathematical physics. They are eigenvectors of the…
Random Discretization of the Finite Fourier Transform and Related Kernel Random Matrices
Aline Bonami, Abderrazek Karoui
This paper is centred on the spectral study of a Random Fourier matrix, that is an matrix whose entries are , with and two i…
The finite Hankel transform operator: Some explicit and local estimates of the eigenfunctions and eigenvalues decay rates
Mourad Boulsane, Abderrazek Karoui
For fixed real numbers the finite Hankel transform operator, denoted by is given by the integral operator defined on with kern…
Weighted finite Fourier transform operator: Uniform approximations of the eigenfunctions, eigenvalues decay and behaviour
Abderrazek Karoui, Ahmed Souabni
In this paper, we first give two uniform asymptotic approximations of the eigenfunctions of the weighted finite Fourier transform operator, defined by ${\displaystyle \mathcal F_c^…
Approximations in Sobolev Spaces by Prolate Spheroidal Wave Functions
Aline Bonami, Abderrazek Karoui
Recently, there is a growing interest in the spectral approximation by the Prolate Spheroidal Wave Functions (PSWFs) This is due to the promising new contributio…
Spectral Decay of Time and Frequency Limiting Operator
Aline Bonami, Abderrazek Karoui
For fixed the Prolate Spheroidal Wave Functions (PSWFs) form a basis with remarkable properties for the space of band-limited functions with bandwidth . They hav…
Generalized Prolate Spheroidal Wave Functions: Spectral Analysis and Approximation of Almost Band-limited Functions
Abderrazek Karoui, Ahmed Souabni
In this work, we first give various explicit and local estimates of the eigenfunctions of a perturbed Jacobi differential operator. These eigenfunctions generalize the famous class…
The approximation of almost time and band limited functions by their expansion in some orthogonal polynomials bases
Philippe Jaming, Abderrazek Karoui, Susanna Spektor
The aim of this paper is to investigate the quality of approximation of almost time and almost band-limited functions by its expansion in three classical orthogonal polynomials bas…
Approximation of almost time and band limited functions I: Hermite expansions
Philippe Jaming, Abderrazek Karoui, Ron Kerman +1
The aim of this paper is to investigate the quality of approximation of almost time and band limited functions by its expansion in the Hermite and scaled Hermite basis. As a coroll…
Uniform approximation and explicit estimates for the prolate spheroidal wave functions
Aline Bonami, Abderrazek Karoui
For fixed Prolate Spheroidal Wave Functions (PSWFs), denoted by form an orthogonal basis with remarkable properties for the space of band-limited functions with ba…
Spectral decay of the sinc kernel operator and approximations by Prolate Spheroidal Wave Functions
Aline Bonami, Abderrazek Karoui
For fixed the Prolate Spheroidal Wave Functions (PSWFs) form a basis with remarkable properties for the space of band-limited functions with bandwidth . They hav…