31 citations · 33 across the 4 of their papers we have counts for
4 papers
Singularities in phase separation models: a spectral element approach for the nonlocal Cahn-Hilliard equation
Andrés Miniguano-Trujillo, Andrea Poiatti, Maurizio Grasselli +2
The nonlocal Cahn-Hilliard equation provides a natural extension of the classical model for phase separation by incorporating long-range interactions through a singular convolution…
Efficient nonlocal linear image denoising: Bilevel optimization with Nonequispaced Fast Fourier Transform and matrix-free preconditioning
Andrés Miniguano-Trujillo, John W. Pearson, Benjamin D. Goddard
We present a new approach for nonlocal image denoising, based around the application of an unnormalized extended Gaussian ANOVA kernel within a bilevel optimization algorithm. A cr…
A Constrained Optimisation Framework for Parameter Identification of the SIRD Model
Andrés Miniguano-Trujillo, John W. Pearson, Benjamin D. Goddard
We consider a numerical framework tailored to identifying optimal parameters in the context of modelling disease propagation. Our focus is on understanding the behaviour of optimis…
Bilevel parameter learning for nonlocal image denoising models
M. D'Elia, J. C. De los Reyes, A. Miniguano-Trujillo
We propose a bilevel optimization approach for the estimation of parameters in nonlocal image denoising models. The parameters we consider are both the fidelity weight and weights…