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Occam's algorithm

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Series: Society of Exploration Geophysicists Geophysical References Series
Published: 01 January 2010
DOI: 10.1190/1.9781560802273.ch16
EISBN: 9781560802273
...), the smoothest model which fits the data to within an expected tolerance is sought. A practical scheme is developed which optimizes the step size at each iteration and retains the computational efficiency of layered models, resulting in a stable and rapidly convergent algorithm. The inversion of both...
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Journal Article
Journal: Geophysics
Published: 01 March 1987
Geophysics (1987) 52 (3): 289–300.
... to within an expected tolerance is sought. A practical scheme is developed which optimizes the step size at each iteration and retains the computational efficiency of layered models, resulting in a stable and rapidly convergent algorithm. The inversion of both magnetotelluric and Schlumberger sounding field...
Image
Diagrammatic representation of the <span class="search-highlight">Occam</span> <span class="search-highlight">algorithm’s</span> path though model spac...
Published: 28 April 2015
Figure 1. Diagrammatic representation of the Occam algorithm’s path though model space, reduced to a sum-squared misfit for a two-parameter problem. Initial iterations reduce the sum-squared misfit χ 2 until the acceptable misfit χ * 2 is reached. The algorithm then reduces
Journal Article
Journal: The Leading Edge
Published: 01 March 2009
The Leading Edge (2009) 28 (3): 284–287.
..., 2005). These methods either require considerable tuning to get realistic results, are limited to step response data, or require considerable experimentation with the initial guess to ensure a reasonable result. The advantage of the Occam's algorithm is that it can be easily adapted to different ATDEM...
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Journal Article
Published: 01 June 2005
Journal of Environmental and Engineering Geophysics (2005) 10 (2): 219–228.
... data. In particular the propagation of uncertainty through the inversion process is formulated on the basis of Occam's algorithm ( Constable et al., 1987 ). This approach is computationally efficient because it is based on the partial derivatives obtained during the final iteration of the inversion...
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Journal Article
Journal: Geophysics
Published: 01 January 2000
Geophysics (2000) 65 (3): 791–803.
... inversion algorithms are not without flaws. The fastest [e.g., rapid relaxation inversion (RRI)] intrinsically limit the model space search and can fail to converge (without substantial user intervention). The most general and flexible (e.g., OCCAM) run very slowly and require considerable computer memory...
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Journal Article
Journal: Geophysics
Published: 01 April 1996
Geophysics (1996) 61 (2): 538–548.
...Douglas J. LaBrecque; Michela Miletto; William Daily; Aberlardo Ramirez; Earle Owen Abstract An Occam's inversion algorithm for crosshole resistivity data that uses a finite-element method forward solution is discussed. For the inverse algorithm, the earth is discretized into a series of parameter...
Journal Article
Journal: Geophysics
Published: 28 April 2015
Geophysics (2015) 80 (3): E197–E212.
...Figure 1. Diagrammatic representation of the Occam algorithm’s path though model space, reduced to a sum-squared misfit for a two-parameter problem. Initial iterations reduce the sum-squared misfit χ 2 until the acceptable misfit χ * 2 is reached. The algorithm then reduces...
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Journal Article
Journal: Geophysics
Published: 22 June 2015
Geophysics (2015) 80 (4): W17–W31.
... processes have used methods for searching for solutions, applying constraints, and focusing images, such as Occam’s, laterally constrained, and holistic inversions. For airborne data imaging and 1D inversion, some algorithms are fast, whereas others have control over data misfit and the vertical or lateral...
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Journal Article
Journal: Geophysics
Published: 01 January 2004
Geophysics (2004) 69 (1): 78–86.
... resistivities and for the boundary locations between adjacent units. The boundary depths are forced to be discrete values defined by the mesh used in the forward modeling code. The algorithm employs a Lagrange multiplier approach in a manner similar to the widely used Occam method. The main difference...
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Series: Geophysical Developments Series
Published: 01 January 1999
DOI: 10.1190/1.9781560802150.ch37
EISBN: 9781560802150
.... The algorithm finds the smoothest model (Occam’s inversion) that fits the data to a given prior error level. The algorithm takes 10 to 20 iterations to converge but requires only a single forward solution per iteration and does not require direct solution of a large system of equations. Inversion of data from...
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Journal Article
Published: 20 March 2018
Journal of Environmental and Engineering Geophysics (2018) 23 (1): 15–32.
... . (2015) and the references therein. We applied 1-D Occam and Bostick inversion schemes to synthetic models. Then, effectiveness and accuracy of the inversion algorithms are verified by LOTEM field data. Based on the inversion results a resistivity cross-section is constructed and finally, similar...
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Journal Article
Journal: Geophysics
Published: 01 December 1990
Geophysics (1990) 55 (12): 1613–1624.
...C. D. de Groot-Hedlin; S. C. Constable Abstract Magnetotelluric (MT) data are inverted for smooth 2-D models using an extension of the existing 1-D algorithm, Occam's inversion. Since an MT data set consists of a finite number of imprecise data, an infinity of solutions to the inverse problem...
Image
1-D TEM inversion results for a) station B (on V1) and b) station A (170 m ...
Published: 01 June 2015
Figure 9.  1-D TEM inversion results for a) station B (on V1) and b) station A (170 m southwest of V1). The best-fit models are shown for both Occam's smoothness constraints, R1 and R2, and for the Marquardt inversion. The equivalent models obtained by a Monte-Carlo algorithm are indicated
Journal Article
Published: 20 March 2018
Journal of Environmental and Engineering Geophysics (2018) 23 (1): 47–59.
... or conductive target layer. Then, we conducted an error-space analysis to evaluate the sensitivity of each inline component based on the result of the optimal observation area. Finally, we collected field data from a typical inline dipole-dipole configuration and inverted the data with an algorithm based...
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Journal Article
Published: 01 June 2015
Journal of Environmental and Engineering Geophysics (2015) 20 (2): 153–164.
...Figure 9.  1-D TEM inversion results for a) station B (on V1) and b) station A (170 m southwest of V1). The best-fit models are shown for both Occam's smoothness constraints, R1 and R2, and for the Marquardt inversion. The equivalent models obtained by a Monte-Carlo algorithm are indicated...
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Journal Article
Journal: Geophysics
Published: 02 May 2008
Geophysics (2008) 73 (3): B77–B84.
... the hydrogeology of an alluvial aquifer along the Powder River. The aquifer is receiving CBNG produced water discharge from infiltration impoundments. HEM data were subjected to Occam's inversion algorithms to determine the aquifer bulk conductivity, which was then correlated towater salinity using site-specific...
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Journal Article
Journal: Geophysics
Published: 01 January 2004
Geophysics (2004) 69 (1): 97–107.
..., hydraulic permeability estimation, or hydrocarbon contaminant mapping. In particular, analysis in terms of real and imaginary conductivity components offers improved lithological characterization, since surface polarization effects are separated from electrolytic and surface conduction effects. An Occam...
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