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math.NA2026
Stable full-field simulation of a multiscale elliptic equation by means of Quantized Tensor Trains
Marc Josien, Anas El Hachimi, Isabelle Ramière
In this article, we design an original solver based on Quantized Tensor Trains (QTT) for linear elliptic equations with heterogeneous coefficient field, that allows for extremely f…
math.NA2025
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…
math.NA2024
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…