- Stability of Gibbs Posteriors from the Wasserstein Loss for Bayesian Full Waveform Inversion(arXiv)
Author : : Matthew M. Dunlop, Yunan Yang
Abstract : These days, the Wasserstein loss carry out has been confirmed to be environment friendly when utilized to deterministic full-waveform inversion (FWI) points. We bear in mind the making use of of this loss carry out in Bayesian FWI so that the uncertainty could also be captured throughout the decision. Totally different loss capabilities which may be typically utilized in observe are moreover considered for comparability. Existence and stability of the following Gibbs posteriors are confirmed on carry out space beneath weak assumptions on the prior and model. Particularly, the distribution arising from the Wasserstein loss is confirmed to be pretty safe with respect to high-frequency noise throughout the data. We then illustrate the excellence between the following distributions numerically, using Laplace approximations to estimate the unknown velocity space and uncertainty associated to the estimates.
