Uncertainty quantification for inverse problems with a weak wave-equation constraint

TitleUncertainty quantification for inverse problems with a weak wave-equation constraint
Publication TypeConference
Year of Publication2017
AuthorsZhilong Fang, Curt Da Silva, Rachel Kuske, Felix J. Herrmann
Conference NameWAVES 2017 –- 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation
Page127–128
Month05
Keywordsconstraint, Gibbs sampling, uncertainty, wave equation
Abstract

In this work, we present a new posterior distribution to quantify uncertainties in solutions of wave-equation based inverse problems. By introducing an auxiliary variable for the wavefields, we weaken the strict wave-equation constraint used by conventional Bayesian approaches. With this weak constraint, the new posterior distribution is a bi-Gaussian distribution with respect to both model parameters and wavefields, which can be directly sampled by the Gibbs sampling method.

Notes

(WAVES, Minneapolis)

URLhttps://www.slim.eos.ubc.ca/Publications/Public/Conferences/WAVES/2017/fang2017WAVESuqf/fang2017WAVESuqf.html
Presentation

https://www.slim.eos.ubc.ca/Publications/Public/Conferences/WAVES/2017/f...

Citation Keyfang2017WAVESuqf