Zhilong Fang, SLIM "Uncertainty quantification for inverse problems with a weak wave-equation constraint", WAVES Conf, Univ Minnesota

05/15

 

This lecture is part of the WAVES 2017 Conference (Int Conference on Mathematical and Numerical Aspects of Wave Propagation), to be held May 15-19, University of Minnesota, Minneapolis. To view the full program or to register please see the conference website:

https://cceevents.umn.edu/waves-2017

 

Zhilong Fang*, Curt Da Silva, Rachel Kuske, Felix J. Herrmann,  "Uncertainty quantification for inverse problems with a weak wave-equation constraint", 11:45 - 12:15 PM, President's Room, Coffman Memorial Union Bldg, 300 Washington Ave, Minneapolis

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.

Zhilong Fang is a PhD student at the Seismic Laboratory for Imaging and Modelling, the University of British Columbia (Canada).