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oa Beyond chi-squared: Additional measures of the closeness of a model to data1
- Australian Society of Exploration Geophysicists
- Source: ASEG Extended Abstracts, Volume 2019, Issue 2nd Australasian Exploration Geoscience Conference: Data to Discovery, Dec 2019, p. 1 - 6
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- 01 Dec 2019
Abstract
Summary
Subtle, and not so subtle, features in our increasingly large and complex datasets are being missed because of our reliance on a single number, typically chi-squared based, to describe the distance between a plausible model and the data. Additional measures need to be used. Here I propose that the autocorrelations of the residuals between the data and the model responses be minimized as part of the objective function during inversion. I demonstrate the use on a toy example and three 1D magnetotelluric examples, one a synthetic “impossible” problem and two real ones.
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