https://bmoyer.net/tags/inverse-problems/Recent content in Inverse Problems on Benjamin MoyerHugoen-usMon, 17 Aug 2026 00:00:00 +0000https://bmoyer.net/work/gravity-magnetics/Mon, 17 Aug 2026 00:00:00 +0000https://bmoyer.net/work/gravity-magnetics/This page is a stub. Fuller writeup, figures, and code links to follow. Potential-field inversion is badly non-unique: many subsurface density and susceptibility distributions produce the same measurements at the surface. The usual response is to fix a parameterisation in advance and regularise toward it, which produces a tidy answer and hides the question of how much of that answer the data actually supports. Trans-dimensional Bayesian inversion treats the number of parameters as unknown and infers it alongside everything else, so the resolution of the result is a posterior quantity rather than a modelling choice.