L1 and L2 norm based inversion

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Shib Sankar Ganguli

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May 22, 2020, 5:41:16 AM5/22/20

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How to perform L1 and L2 norm based inversion using gravity data? Hope SimPEG code will help to do so. Please advice.

Thanks in anticpation

Dom Fournier

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May 22, 2020, 11:54:56 AM5/22/20

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Dear Shib,

You can have a look at this example.

We are using a modified Iterative Re-weighted Least-Squares (IRLS) algorithm, which allows us to visit any norm on the model and its gradients on the full interval [0, 2]

The example above uses an l0-norm on the model values and l1-norms on the gradients. You can combine any values you'd like to explore different solutions.

You can have a look at this paper if you want to learn more about the algorithm.