The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Shaping regularization in geophysical-estimation problems
Abstract
Regularization is a required component of geophysical-estimation problems that operate with insufficient data. The goal of regularization is to impose additional constraints on the estimated model. I introduce shaping regularization, a general method for imposing constraints by explicit mapping of the estimated model to the space of admissible models. Shaping regularization is integrated in a conjugate-gradient algorithm for iterative least-squares estimation. It provides the advantage of better control on the estimated model in comparison with traditional regularization methods and, in some cases, leads to a faster iterative convergence. Simple data interpolation and seismic-velocity estimation examples illustrate the concept.
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Citations
Cites
Iterative Methods for Sparse Linear Systems
Saad, Y. (2003) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898718003 · Cited by 13,790
Methods of conjugate gradients for solving linear systems
Hestenes, M. R., & Stiefel, E. (1952) · Journal of Research of the National Bureau of Standards · doi:10.6028/jres.049.044 · Cited by 8,132
Inverse Problem Theory and Methods for Model Parameter Estimation
Tarantola, A. (2005) · doi:10.1137/1.9780898717921 · Cited by 6,585
Regularization of Inverse Problems
Engl, H. W., Hanke, M., & Neubauer, A. (1996) · Springer eBooks · doi:10.1007/978-94-009-1740-8 · Cited by 5,275
Solution of incorrectly formulated problems and the regularization method
Tikhonov, A. N. (1963) · Medical Entomology and Zoology · Cited by 2,359
Seismic velocities from surface measurements
Dix, C. H. (1955) · Geophysics · doi:10.1190/1.1438126 · Cited by 1,333
Interpretation of Inaccurate, Insufficient and Inconsistent Data
Jackson, D. D. (1972) · Geophysical Journal International · doi:10.1111/j.1365-246x.1972.tb06115.x · Cited by 798
Iterative Krylov Methods for Large Linear Systems
van der Vorst, H. A. (2003) · Cambridge University Press eBooks · doi:10.1017/cbo9780511615115 · Cited by 729
Method of conjugate gradients for solving linear systems
Hestenes, M. R. (1952) · Medical Entomology and Zoology · Cited by 189
Metadata
- Authors
- Fomel, S.
- Venue
- Geophysics
- Publisher
- Society of Exploration Geophysicists
- Published
- 2007-01-01
- Volume
- 72
- Issue
- 2
- Pages
- R29-R36
- ISSN
- 0016-8033 (ISSN-L)
- 1942-2156
- OpenAlex
- W2126720920
- Cited by
- 435
- References
- 9
- FWCI
- 12.29
- Type
- journal article
- Language
- en
- Open access
- closed
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