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Huber solver versus IRLS algorithm for quasi L1 inversion

Antoine Guitton

antoine@sep.stanford.edu

ABSTRACT

The l1 problem can be approximated using either Iteratively Reweighted Least Squares methods (IRLS) with an appropriate weighting function or the Huber misfit function with an appropriate solver. Comparisons of both methods show that they give very similar results as they handle problems suited to l1 properly. In addition, the nonlinear scheme, using the Huber norm, generally converges better than the linear IRLS algorithms on velocity-stack inversion. Finally, the Huber solver is far easier to operate because it is sensitive to fewer parameters than IRLS.



 
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Stanford Exploration Project
4/27/2000