11 citations · 34 across the 29 of their papers we have counts for
29 papers · 1 filter
A rational Krylov methods for large scale linear multidimensional dynamical systems
Houda Barkouki, Khalide Jbilou
In this paper, we investigate the use of multilinear algebra for reducing the order of multidimensional linear time-invariant (MLTI) systems. Our main tools are tensor rational Kry…
Quaternion tensor low rank Quaternion tensor low-rank approximation using a family of non-convex norms
Alaeddine Zahir, Ahmed Ratnani, Khalide Jbilou
In this paper, we propose a new approaches for low rank approximation of quaternion tensors \cite{chen2019low,zhang1997quaternions,hamilton1866elements}. The first method uses quas…
Non-negative Einstein tensor factorization for unmixing hyperspectral images
Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani
In this manuscript, we introduce a tensor-based approach to Non-Negative Tensor Factorization (NTF). The method entails tensor dimension reduction through the utilization of the Ei…
Higher order multi-dimension reduction methods via Einstein product
Alaeddine Zahir, Khalide Jbilou, Ahmed Ratnani
This paper explores the extension of dimension reduction (DR) techniques to the multi-dimension case by using the Einstein product. Our focus lies on graph-based methods, encompass…
Trace Ratio Based Manifold Learning with Tensor Data
Mohammed Bouallala, Franck Dufrenois, khalide jbilou +1
In this paper, we propose an extension of trace ratio based Manifold learning methods to deal with multidimensional data sets. Based on recent progress on the tensor-tensor product…
Multidimensional extrapolated global proximal gradient and applications for image processing
Abdeslem Hafid Bentbib, Khalide Jbilou, Ridwane Tahiri
The proximal gradient method is a generic technique introduced to tackle the non-smoothness in optimization problems, wherein the objective function is expressed as the sum of a di…
Tensor Golub Kahan based on Einstein product
Anas El Hachimi, Khalide Jbilou, Mustapha Hached +1
The Singular Value Decomposition (SVD) of matrices is a widely used tool in scientific computing. In many applications of machine learning, data analysis, signal and image processi…
Spectral computation with third-order tensors using the t-product
Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani +1
The tensor t-product, introduced by Kilmer and Martin [26], is a powerful tool for the analysis of and computation with third-order tensors. This paper introduces eigentubes and ei…
Auxiliary Splines Space Preconditioning for B-Splines Finite Elements: The case of and elliptic problems
Abdeladim El Akri, Khalide Jbilou, Ahmed Ratnani
This paper presents a study of large linear systems resulting from the regular -splines finite element discretization of the and elliptic p…
A tensor bidiagonalization method for higher-order singular value decomposition with applications
Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani +1
The need to know a few singular triplets associated with the largest singular values of third-order tensors arises in data compression and extraction. This paper describes a new me…
Multilinear Discriminant Analysis using a new family of tensor-tensor products
F. Dufrenois, A. El Ichi, K. Jbilou
Multilinear Discriminant Analysis (MDA) is a powerful dimension reduction method specifically formulated to deal with tensor data. Precisely, the goal of MDA is to find mode-specif…
Generalized L-product for hight order tensors with applications using GPU computation
Abdeslem Hafid Ben Tbib, Mouad Elalj, Anas EL Hachimi +2
In this paper, we will present a generalization of the L-tensor product (L-product) including generalization of the well known tensor cosine and T-products that were defined for th…
An efficient extended block Arnoldi algorithm for feedback stabilization of incompressible Navier-Stokes flow problems
Mohamed Amine Hamadi, Khalide Jbilou, Ahmed Ratnani
Navier-Stokes equations are well known in modelling of an incompressible Newtonian fluid, such as air or water. This system of equations is very complex due to the non-linearity te…
A multidimensional principal component analysis via the c-product Golub-Kahan-SVD for classification and face recognition
Mustapha Hached, Khalide Jbilou, Christos Koukouvinos +1
Face recognition and identification is a very important application in machine learning. Due to the increasing amount of available data, traditional approaches based on matricizati…
Discrete cosine transform LSQR and GMRES methods for multidimensional ill-posed problems
M. El Guide, A. El Ichi, K. Jbilou
In the present work, we propose new tensor Krylov subspace method for ill posed linear tensor problems such as in color or video image restoration. Those methods are based on the t…
On the tensor nuclear norm and the total variation regularization for image and video completion
A. H. Bentbib, A. El Hachimi, K. Jbilou +1
In the present paper we propose two new algorithms of tensor completion for three-order tensors. The proposed methods consist in minimizing the average rank of the underlying tenso…
On some tensor tubal-Krylov subspace methods via the T-product
A. El Ichi, K. Jbilou, R. Sadaka
In the present paper, we introduce new tensor Krylov subspace methods for solving linear tensor equations. The proposed methods use the well known T-product for tensors and tensor…
Tensor Krylov subspace methods via the T-product for color image processing
M. El Guide, A. El Ichi, K. Jbilou +1
The present paper is concerned with developing tensor iterative Krylov subspace methods to solve large multi-linear tensor equations. We use the well-known T-product for two tensor…
Tensor GMRES and Golub-Kahan Bidiagonalization methods via the Einstein product with applications to image and video processing
M. El Guide, A. El Ichi, F. P. A Beik +1
In the present paper, we are interested in developing iterative Krylov subspace methods in tensor structure to solve a class of multilinear systems via Einstein product. In particu…
Tensor extrapolation methods with applications
F. P. A. Beik, A. El Ichi, K. Jbilou +1
In this paper, we mainly develop the well-known vector and matrix polynomial extrapolation methods in tensor framework. To this end, some new products between tensors are defined a…
The global extended-rational Arnoldi method for matrix function approximation
A. H. Bentbib, M. El Ghomari, K. Jbilou
The numerical computation of matrix functions such as , where is an large and sparse square matrix, is an block with and is a n…
On the Golub--Kahan bidiagonalization for ill-posed tensor equations with applications to color image restoration
Fatemeh P. A. Beik, Khalide Jbilou, Mehdi Najafi-Kalyani +1
This paper is concerned with solving ill-posed tensor linear equations. These kinds of equations may appear from finite difference discretization of high-dimensional convection-dif…
A block tangential Lanczos method for model reduction of large-scale first and second order dynamical systems
Yassine Kaouane, Khalide Jbilou
In this paper, we present a new approach for model reduction of large scale first and second order dynamical systems with multiple inputs and multiple outputs (MIMO). This approach…
Numerical methods for differential linear matrix equations via Krylov subspace methods
M. Hached, K. Jbilou
In the present paper, we present some numerical methods for computing approximate solutions to some large differential linear matrix equations. In the first part of this work, we d…