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Geophysical inversion and optimal transport.
- Source :
- Geophysical Journal International; Oct2022, Vol. 231 Issue 1, p172-198, 27p
- Publication Year :
- 2022
-
Abstract
- We propose a new approach to measuring the agreement between two oscillatory time-series, such as seismic waveforms, and demonstrate that it can be used effectively in inverse problems. Our approach is based on Optimal Transport theory and the Wasserstein distance, with a novel transformation of the time-series to ensure that necessary normalization and positivity conditions are met. Our measure is differentiable, and can readily be used within an optimization framework. We demonstrate performance with a variety of synthetic examples, including seismic source inversion, and observe substantially better convergence properties than achieved with conventional L <subscript>2</subscript> misfits. We also briefly discuss the relationship between Optimal Transport and Bayesian inference. [ABSTRACT FROM AUTHOR]
- Subjects :
- TRANSPORT theory
INVERSE problems
BAYESIAN field theory
Subjects
Details
- Language :
- English
- ISSN :
- 0956540X
- Volume :
- 231
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Geophysical Journal International
- Publication Type :
- Academic Journal
- Accession number :
- 159150887
- Full Text :
- https://doi.org/10.1093/gji/ggac151