@Article{JCM-41-3,
author = {Zhou, Datong and Jing, Chen and Wu, Hao and Yang, Dinghui and Qiu, Lingyun},
title = {The Wasserstein-Fisher-Rao Metric for Waveform Based Earthquake Location},
journal = {Journal of Computational Mathematics},
year = {2023},
volume = {41},
number = {3},
pages = {437--457},
abstract = {<p style="text-align: justify;">In this paper, we apply the Wasserstein-Fisher-Rao (WFR) metric from the unbalanced optimal transport theory to the earthquake location problem. Compared with the quadratic Wasserstein ($W_2$) metric from the classical optimal transport theory, the advantage of this method is that it retains the important amplitude information as a new constraint, which avoids the problem of the degeneration of the optimization objective function near the real earthquake hypocenter and origin time. As a result, the deviation of the global minimum of the optimization objective function based on the WFR metric from the true solution can be much smaller than the results based on the $W_2$ metric when there exists strong data noise. Thus, we develop an accurate earthquake location method under strong data noise. Many numerical experiments verify our conclusions.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2109-m2021-0045},
url = {https://global-sci.com/article/84124/the-wasserstein-fisher-rao-metric-for-waveform-based-earthquake-location}
}