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Inference from noisy data with an unknown number of discontinuities: ideas from outside the box
conference contribution
posted on 2023-05-23, 06:48 authored by Sambridge, M, Bodin, T, Anya ReadingAnya Reading, Gallagher, Kinformation from complex datasets in situations where direct measurement is not possible. Such inverse problems are ubiquitous across the physical and mathematical sciences and are central to discovery of resources within the Earth upon which Australian society is dependent. A recurring problem is how to choose the number of unknowns with which to fit data. If too few are chosen the data cannot be fit and if too many the inversion results become unreliable and contain unwarranted detail. Statistical methods are often used to find optimal numbers of unknowns, but these are based on simplistic assumptions and require multiple trial inversions to be performed with different numbers of variables. A new general approach recently applied to geophysical problems is to ask the data itself `How many unknowns should be used ?’ While this may seem counter-intuitive at first sight it turns out to be entirely feasible. In effect the number of unknowns itself becomes an unknown. An extension of the basic approach also allows the level of noise on the data to also be included as an unknown. In this presentation we outline the central ideas, and illustrated through an example where a geophysical property varies only in 1-D (usually depth or time) and is constrained from surface measurements. Applications of the general approach are to airborne EM data, borehole geophysics, seismic interpretation and also palaeoclimate reconstructions.
History
Publication title
Preview Journal, Number 147: ASEG 2010 Geophysical Conference ProceedingsEditors
AM Anderson-MayesPagination
1-5ISSN
1836-084XDepartment/School
School of Natural SciencesPublisher
CSIRO PublishingPlace of publication
Collingwood, Victoria, AustraliaEvent title
21st Australian Society for Exploration Geophysicists/Petroleum Exploration Society of Australia International ConferenceEvent Venue
Sydney, AustraliaDate of Event (Start Date)
2010-08-22Date of Event (End Date)
2010-08-26Rights statement
Copyright 2010 ASEGRepository Status
- Restricted