Comment on 'Geophysical inversion and optimal transport' by M. Sambridge, A. Jackson and A. P. Valentine. Issue 2 (5th January 2023)

• Record Type: Journal Article
• Authors: Okazaki, Tomohisa; Ueda, Naonori
• Is Part Of: Geophysical journal international. Volume 233:Issue 2(2023)
• Page Start: 1484
• Page End: 1487
• Publication Date: 2023-01-05
• Subjects: Probability distributions -- Time-series analysis -- Waveform inversion; Geophysics -- Periodicals; 550
• DOI: 10.1093/gji/ggad001
• Languages: English
• ISSNs: 0956-540X

Abstract

SUMMARY: A similarity measure between waveforms developed by Sambridge et al . realized an effective use of optimal transport as well as computational efficiency through the marginalization of a 2-D probability distribution obtained from a seismogram. We demonstrate that information loss due to marginalization could lead to significant non-uniqueness in the resulting measure and propose the use of the sliced Wasserstein distance as a potential solution. This formulation may enhance the robustness of the method developed by Sambridge et al . by maintaining its computational efficiency.