A regularization by denoising super-resolution method based on genetic algorithms

M Nachaoui, L Afraites, A Laghrib - Signal Processing: Image …, 2021 - Elsevier
Increasing the resolution of an image is an actual and extensively studied problem in image
processing. Recently, Regularization by Denoising (RED) showing that any inverse problem …

An improved bilevel optimization approach for image super-resolution based on a fractional diffusion tensor

M Nachaoui, A Laghrib - Journal of the Franklin Institute, 2022 - Elsevier
Variational regularization techniques are widely used to improve the quality of the super-
resolved image. However, the success of these methods depends on some sensitive …

Image denoising based on a variable spatially exponent PDE

A Laghrib, L Afraites - Applied and Computational Harmonic Analysis, 2024 - Elsevier
Image denoising is always considered an important area of image processing. In this work,
we address a new PDE-based model for image denoising that have been contaminated by …

Efficient image denoising technique using the meshless method: Investigation of operator splitting RBF collocation method for two anisotropic diffusion-based PDEs

Y Lotfi, K Parand - Computers & Mathematics with Applications, 2022 - Elsevier
Images taken and stored digitally are often degraded by noise, so that the perceived image
quality is significantly decreased in the presence of noise and human gaze behavior is …

An efficient DN alternating algorithm for solving an inverse problem for Helmholtz equation.

K Berdawood, A Nachaoui, R Saeed… - … Systems-Series S, 2022 - search.ebscohost.com
Data completion known as Cauchy problem is one most investigated inverse problems. In
this work we consider a Cauchy problem associated with Helmholtz equation. Our …

An efficient primal-dual method for solving non-smooth machine learning problem

S Lyaqini, M Nachaoui, A Hadri - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper deals with the machine learning model as a framework of regularized loss
minimization problem in order to obtain a generalized model. Recently, some studies have …

An inverse problem of identifying the coefficient in a nonlinear time-fractional diffusion equation

A Oulmelk, L Afraites, A Hadri - Computational and Applied Mathematics, 2023 - Springer
The paper deals with an inverse problem of identifying parameters in a nonlinear
subdiffusion model from a final observation. The nonlinear subdiffusion model involves a …

Implementation of the ADMM approach to constrained optimal control problem with a nonlinear time-fractional diffusion equation

A Oulmelk, M Srati, L Afraites… - Discrete and Continuous …, 2022 - aimsciences.org
In this paper, we study the inverse problem of identifying the parameters in a nonlinear
subdiffusion model from an observation defined in the given Ω1 subset of Ω. The nonlinear …

On some evolution equation with combined local and nonlocal p (x,[∇ u])-Laplace operator for image denoising

A Laghrib - Journal of the Franklin Institute, 2024 - Elsevier
Image denoising is an important topic in image processing. This paper proposes a novel
approach to speckle noise removal using a combination of nonlocal and local variable p …

Bilevel optimal parameter learning for a high-order nonlocal multiframe super-resolution problem

A Laghrib, FZA Bella, M Nachaoui… - Inverse Problems, 2023 - iopscience.iop.org
This work elaborated an improved method to multiframe super-resolution (SR), which
involves a nonlocal first-order regularization combined with a nonlocal p-Laplacian term …