5 papers
Structured Multidimensional Representation Learning for Large Language Models
Alaa El Ichi, Khalide Jbilou, Mohamed El Guide +1
Transformer architectures achieve state-of-the-art performance across a wide range of pattern recognition and natural language processing tasks, but their scaling is accompanied by…
A Unified Trace-Optimization Framework for Multidimensionality Reduction
Mohamed El Guide, Alaa El Ichi, Khalide Jbilou +2
This paper presents a comprehensive overview of several multidimensional reduction methods focusing on Multidimensional Principal Component Analysis (MPCA), Multilinear Orthogonal…
Efficient Krylov-Regularization Solvers for Multiquadric RBF Discretizations of the 3D Helmholtz Equation
Mohamed El Guide, Khalide Jbilou, Kamal Lachhab +1
Meshless collocation with multiquadric radial basis functions (MQ-RBFs) delivers high accuracy for the three-dimensional Helmholtz equation but produces dense, severely ill-conditi…
Low-Rank Regularized Convex-Non-Convex Problems for Image Segmentation or Completion
Mohamed El Guide, Anas El Hachimi, Khalide Jbilou +1
This work proposes a novel convex-non-convex formulation of the image segmentation and the image completion problems. The proposed approach is based on the minimization of a functi…
Efficient Computation of Dominant Eigenvalues Using Adaptive Block Lanczos with Chebyshev Filtering
M. El Guide, K. Jbilou, K. Lachhab
We present an efficient method for computing dominant eigenvalues of large, nonsymmetric, diagonalizable matrices based on an adaptive block Lanczos algorithm combined with Chebysh…