8 papers
Dimensionality Reduction on Riemannian Manifolds in Data Analysis
Alaa El Ichi, Khalide Jbilou
In this work, we investigate Riemannian geometry based dimensionality reduction methods that respect the underlying manifold structure of the data. In particular, we focus on Princ…
A survey of scalar and vector extrapolation
Khalide Jbilou
Scalar extrapolation and convergence acceleration methods are central tools in numerical analysis for improving the efficiency of iterative algorithms and the summation of slowly c…
Low-Rank Tensor Approximation of Weights in Large Language Models via Cosine Lanczos Bidiagonalization
A. El Ichi, K. Jbilou
Large Language Models (LLMs) have demonstrated remarkable capabilities across diverse natural language tasks but suffer from extremely large memory footprints and computational cos…
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…