@article{36808558955e4e44b42775582611e5cf,
title = "Research Note: A unifying framework for the widely used stabilization of potential field inverse problems",
abstract = "We present a brief review of the widely used and well-known stabilizers in the inversion of potential field data. These include stabilizers that use L2, L1 and L0 norms of the model parameters and the gradients of the model parameters. These stabilizers may all be realized in a common setting using two general forms with different weighting functions. Moreover, we show that this unifying framework encompasses the use of additional stabilizations which are not common for potential field inversion.",
keywords = "-norm stabilizers, Inverse theory, Potential fields, sparsity regularization",
author = "Saeed Vatankhah and Renaut, {Rosemary Anne} and Shuang Liu",
note = "Funding Information: We would like to thank the Editor Dr Giovanni Florio and the Associated Editor Dr Peter Leli{\`e}vre for their invaluable comments, which assisted us in the revision of the paper. Further, the manuscript was improved by reviews from two anonymous reviewers. This study is supported by the National Key R&D Program of China (no. 2016YFC0600109), the National Natural Sciences Foundation of China (no. 41604087and no. 41874122) and the Science and Technology Program of Guizhou Province (no. [2019]2868 and no. 2019[2]). Rosemary Renaut acknowledges the support of NSF grant DMS 1913136: Approximate Singular Value Expansions and Solutions of Ill‐Posed Problems. Publisher Copyright: {\textcopyright} 2019 European Association of Geoscientists & Engineers",
year = "2020",
month = may,
day = "1",
doi = "10.1111/1365-2478.12926",
language = "English (US)",
volume = "68",
pages = "1416--1421",
journal = "Geophysical Prospecting",
issn = "0016-8025",
publisher = "Wiley-Blackwell",
number = "4",
}