Softening a hard quadratic bound to a prior pdf - An example from geomagnetism

Andrew Jackson; Malcolm Sambridge

doi:10.1063/1.2149831

Softening a hard quadratic bound to a prior pdf - An example from geomagnetism

Andrew Jackson^*, Malcolm Sambridge

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

We discuss the problem of softening a hard quadratic bound to generate a personal prior probability distribution. The quadratic bound requires the model vector to live within a hyperspherical volume. Prior information suggests we may work in a finite-dimensional space, thus avoiding the known difficulties associated with infinite-dimensional spaces, and that values of the Euclidean 2-norm within the volume are uniformly distributed. The application is to the estimation of the magnetic field at the core-mantle boundary.

Original language	English
Title of host publication	BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING
Subtitle of host publication	25th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering
Pages	499-506
Number of pages	8
DOIs	https://doi.org/10.1063/1.2149831
Publication status	Published - 23 Nov 2005
Event	25th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering - San Jose, CA, United States Duration: 7 Aug 2005 → 12 Aug 2005

Publication series

Name	AIP Conference Proceedings
Volume	803
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	25th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering
Country/Territory	United States
City	San Jose, CA
Period	7/08/05 → 12/08/05

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10.1063/1.2149831

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Jackson, A., & Sambridge, M. (2005). Softening a hard quadratic bound to a prior pdf - An example from geomagnetism. In BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: 25th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (pp. 499-506). (AIP Conference Proceedings; Vol. 803). https://doi.org/10.1063/1.2149831

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abstract = "We discuss the problem of softening a hard quadratic bound to generate a personal prior probability distribution. The quadratic bound requires the model vector to live within a hyperspherical volume. Prior information suggests we may work in a finite-dimensional space, thus avoiding the known difficulties associated with infinite-dimensional spaces, and that values of the Euclidean 2-norm within the volume are uniformly distributed. The application is to the estimation of the magnetic field at the core-mantle boundary.",

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Jackson, A & Sambridge, M 2005, Softening a hard quadratic bound to a prior pdf - An example from geomagnetism. in BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: 25th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering. AIP Conference Proceedings, vol. 803, pp. 499-506, 25th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, San Jose, CA, United States, 7/08/05. https://doi.org/10.1063/1.2149831

Softening a hard quadratic bound to a prior pdf - An example from geomagnetism. / Jackson, Andrew; Sambridge, Malcolm.
BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: 25th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering. 2005. p. 499-506 (AIP Conference Proceedings; Vol. 803).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - We discuss the problem of softening a hard quadratic bound to generate a personal prior probability distribution. The quadratic bound requires the model vector to live within a hyperspherical volume. Prior information suggests we may work in a finite-dimensional space, thus avoiding the known difficulties associated with infinite-dimensional spaces, and that values of the Euclidean 2-norm within the volume are uniformly distributed. The application is to the estimation of the magnetic field at the core-mantle boundary.

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Softening a hard quadratic bound to a prior pdf - An example from geomagnetism

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