A weighted parameter identification PDE-constrained optimization for inverse image denoising problem

L Afraites, A Hadri, A Laghrib, M Nachaoui - The Visual Computer, 2022 - Springer
This paper treats the inverse denoising problem which aims to compute simultaneously the
clean image and the weighting parameter λ. The formulated denoising problem is posed …

An improved spatially controlled reaction–diffusion equation with a non-linear second order operator for image super-resolution

A Hadri, H Khalfi, A Laghrib, M Nachaoui - Nonlinear Analysis: Real World …, 2021 - Elsevier
In this work, we introduce an efficient second-order reaction–diffusion (RD) equation for
noise removal and image super-resolution. The main idea is to decompose the image into …

RODFormer: High-precision design for rotating object detection with transformers

Y Dai, J Yu, D Zhang, T Hu, X Zheng - Sensors, 2022 - mdpi.com
Aiming at the problem of Transformers lack of local spatial receptive field and discontinuous
boundary loss in rotating object detection, in this paper, we propose a Transformer-based …

Primal dual algorithm for solving the nonsmooth Twin SVM

S Lyaqini, A Hadri, A Ellahyani, M Nachaoui - Engineering Applications of …, 2024 - Elsevier
In this paper, we propose an improved version of Twin SVM using a non-smooth
optimization method. Twin SVM generally consists in determining two non-parallel planes by …

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 …

[PDF][PDF] PARAMETER LEARNING FOR COMBINED FIRST AND SECOND ORDER TOTAL VARIATION FOR IMAGE RECONSTRUCTION.

M Nachaoui - Advanced Mathematical Models & Applications, 2020 - jomardpublishing.com
This work deals with the study of ill-posed inverse problems involved in many signal
processing areas and image analysis. Indeed, the image degradation during the data …

On the approximation of a Cauchy problem in a non-homogeneous medium

F Aboud, A Nachaoui, M Nachaoui - Journal of Physics …, 2021 - iopscience.iop.org
This paper deals with an inverse Cauchy problem governed by an elliptical equation defined
in non-homogeneous domain. We propose two approaches based on alternating algorithm …

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 …

Learning nonlocal weights for second-order nonlocal super-resolution

A Laghrib, FZA Bella, M Nachaoui… - Discrete and Continuous …, 2025 - aimsciences.org
This research introduces an enhanced approach for multiframe super-resolution (SR) that
incorporates a bilevel optimization technique for learning the space variable weights …