Generalised rank-constrained approximations of Hilbert-Schmidt operators on separable Hilbert spaces and applications

G Carere, HC Lie - arXiv preprint arXiv:2408.05104, 2024 - arxiv.org
In this work we solve, for given bounded operators $ B, C $ and Hilbert--Schmidt operator $
M $ acting on potentially infinite-dimensional separable Hilbert spaces, the reduced rank …

A least-squares problem of a linear tensor equation of third-order for audio and color image processing

P Soto-Quiros - 2022 45th International Conference on …, 2022 - ieeexplore.ieee.org
This paper describes a new framework for solving inverse tensor problems for denoising
data. This inverse tensor problem can be represented as a least-squares problem of a linear …

Fast random vector transforms in terms of pseudo-inverse within the Wiener filtering paradigm

P Soto-Quiros, A Torokhti - Journal of Computational and Applied …, 2024 - Elsevier
We propose two techniques for the fast numerical implementation of a random vector
transform within Wiener filtering paradigm. In signal processing terminology, the transform is …

Matrix perturbation bounds via contour bootstrapping

P Tran, V Vu - arXiv preprint arXiv:2407.05230, 2024 - arxiv.org
Matrix perturbation bounds play an essential role in the design and analysis of spectral
algorithms. In this paper, we use a" contour bootstrapping" argument to derive several new …

FroImPro: A MATLAB Toolbox for Image Processing Based on the Frobenius Norm

J Chavarría-Molina, JJ Fallas-Monge… - 2024 47th …, 2024 - ieeexplore.ieee.org
In this paper, we introduce the FroImPro toolbox, a novel MATLAB toolbox designed for
image processing based on the Frobenius norm. Built upon a mathematical-computational …

FroImPro Toolbox: Aplicaciones de la norma de Frobenius en el procesamiento de imágenes y videos I

JJ FALLAS-MONGE… - … A LAS CIENCIAS, 2024 - paginas.cimpa.ucr.ac.cr
FroImPro Toolbox es un conjunto de funciones desarrolladas en MATLAB por parte de los
autores de la ponencia, para resolver un conjunto de problemas en procesamiento de …

FroSigPro: Un marco matemático-computacional para la solución de problemas de optimización aplicado a procesamiento de señales utilizando la norma de …

JP Soto-Quirós, J Chavarría-Molina, JJ Fallas-Monge - 2021 - repositoriotec.tec.ac.cr
Generación de un marco matemático-computacional para los problemas de minimización
en el área de procesamiento de señales cuya formulación involucra la norma de Frobenius …