3 papers
math.NA2026
Iterated graph Laplacian for image restoration problems
Stefano Aleotti, Davide Bianchi, Florian Bossmann +2
We study the graph Laplacian operator as a regularizer in a generalized Tikhonov framework for linear ill-posed problems. The Laplacian is updated iteratively from the current reco…
math.OC2025
Variable Projected Augmented Lagrangian Methods for Generalized Lasso Problems
Stefano Aleotti, Davide Bianchi, Florian Bossmann +2
We introduce variable projected augmented Lagrangian (VPAL) methods for solving generalized nonlinear Lasso problems with improved speed and accuracy. By eliminating the nonsmooth…
math.NA2025
Improved impedance inversion by the iterated graph Laplacian
Davide Bianchi, Florian Bossmann, Wenlong Wang +1
We introduce a data-adaptive inversion method that integrates classical or deep learning-based approaches with iterative graph Laplacian regularization, specifically targeting acou…