arxivstat.MEeess.SP2026-07-24
A Hierarchical Likelihood Model for Non-linear Inverse Problems under Additive and Multiplicative Noise
Nicolas Goeman, Pierre-Antoine Thouvenin, Pierre Chainais
Ill-posed inverse problems are encountered in numerous applications, possibly characterized by a highly non-linear forward model, both additive and multiplicative sources of noise, and censored data. In the absence of ground truth, uncertainty quantification is crucial to assess…