Stability and Statistical Inversion of Travel time Tomography
Differential Geometry
2024-05-28 v3 Statistics Theory
Statistics Theory
Abstract
In this paper, we consider the travel time tomography problem for conformal metrics on a bounded domain, which seeks to determine the conformal factor of the metric from the lengths of geodesics joining boundary points. We establish forward and inverse stability estimates for simple conformal metrics under some a priori conditions. We then apply the stability estimates to show the consistency of a Bayesian statistical inversion technique for travel time tomography with discrete, noisy measurements.
Keywords
Cite
@article{arxiv.2309.12544,
title = {Stability and Statistical Inversion of Travel time Tomography},
author = {Ashwin Tarikere and Hanming Zhou},
journal= {arXiv preprint arXiv:2309.12544},
year = {2024}
}