3 papers
math.NA2026
A surrogate-Bayesian algorithm for scatterer shape identification from phaseless data
Erik Garcia Neefjes, Stuart C. Hawkins, Mahadevan Ganesh
This work addresses the reconstruction of a scatterer's shape from phaseless far field-intensity data arising from multiple incident waves interacting with the scatterer. We formul…
math.NA2025
Machine learning on manifolds for inverse scattering: Lipschitz stability analysis
Mahadevan Ganesh, Stuart C. Hawkins, Darko Volkov
Establishing Lipschitz stability estimates is crucial for ensuring the mathematical robustness of neural network (NN) approximations in machine learning (ML)-based parameter estima…
math.NA2025
Far-Field Sensitivity to Local Boundary Perturbations in 2D Wave Scattering
Erik GarcÃa Neefjes, Stuart C. Hawkins
We numerically investigate the sensitivity of the scattered wave field to perturbations in the shape of a scattering body illuminated by an incident plane wave. This study is motiv…