2 papers
math.NA2026
Inverse Born series based neural operators
John C Schotland, Aseel Titi, Jenn-Nan Wang
The inverse Born series provides a general perturbative framework for representing nonlinear inverse maps between infinite-dimensional function spaces and has found numerous applic…
math.NA2024
Determination of a Small Elliptical Anomaly in Electrical Impedance Tomography using Minimal Measurements
Gaoming Chen, Fadil Santosa, Aseel Titi
We consider the problem of determining a small elliptical conductivity anomaly in a unit disc from boundary measurements. The conductivity of the anomaly is assumed to be a small p…