3 papers
math.NA2025
Optimal Space-Variant Anisotropic Tikhonov Regularization for Full Waveform Inversion of Sparse Data
Ali Gholami, Silvia Gazzola
Full waveform inversion (FWI) is a challenging, ill-posed nonlinear inverse problem that requires robust regularization techniques to stabilize the solution and yield geologically…
physics.geo-ph2024
Robust Estimation of Structural Orientation Parameters and 2D/3D Local Anisotropic Tikhonov Regularization
Ali Gholami, Silvia Gazzola
Understanding the orientation of geological structures is crucial for analyzing the complexity of the Earths' subsurface. For instance, information about geological structure orien…
math.NA2024
Automatic nonstationary anisotropic Tikhonov regularization through bilevel optimization
Silvia Gazzola, Ali Gholami
Regularization techniques are necessary to compute meaningful solutions to discrete ill-posed inverse problems. The well-known 2-norm Tikhonov regularization method equipped with a…