Research Note: A unifying framework for the widely used stabilization of potential field inverse problems |
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| Authors: | Saeed Vatankhah Rosemary Anne Renaut Shuang Liu |
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| Institution: | 1. Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, China;2. School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, USA |
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| 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. |
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| Keywords: | Potential fields Inverse theory -norm stabilizers sparsity regularization |
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