Uncertainty quantification for inverse problems with a weak wave-equation constraint
Title | Uncertainty quantification for inverse problems with a weak wave-equation constraint |
Publication Type | Conference |
Year of Publication | 2017 |
Authors | Zhilong Fang, Curt Da Silva, Rachel Kuske, Felix J. Herrmann |
Conference Name | WAVES 2017 –- 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation |
Month | 05 |
Keywords | constraint, 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) |
URL | https://slim.gatech.edu/Publications/Public/Conferences/WAVES/2017/fang2017WAVESuqf/fang2017WAVESuqf.html |
Presentation | |
Citation Key | fang2017WAVESuqf |