Development of a non-parametric Gaussian process model in the three-dimensional equilibrium reconstruction code V3FIT
Abstract
A non-parametric Gaussian process regression model is developed in the three-dimensional equilibrium reconstruction code V3FIT. A Gaussian process is a normal distribution of functions that is uniquely defined by specifying a mean function and covariance kernel function. Gaussian process regression assumes that an unknown profile belongs to a particular Gaussian process and uses Bayesian analysis to select the function the give the best fit to measured data. The implementation in V3FIT uses a hybrid representation where Gaussian processes are used to infer some of the equilibrium profiles and standard parametric techniques are used to infer the remaining profiles. The implementation of the Gaussian process is tested using both synthetic data and experimental data from multiple machines.
- Authors:
-
[1];
- Tech-X Corporation, Boulder, CO (United States)
- Auburn Univ., AL (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Auburn Univ., AL (United States); Tech-X Corporation, Boulder, CO (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1800135
- Grant/Contract Number:
- FG02-03ER54692; SC0018313
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Plasma Physics
- Additional Journal Information:
- Journal Volume: 86; Journal Issue: 1; Journal ID: ISSN 0022-3778
- Publisher:
- Cambridge University Press
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma confinement; fusion plasma
Citation Formats
Howell, Eric C., and Hanson, J. D. Development of a non-parametric Gaussian process model in the three-dimensional equilibrium reconstruction code V3FIT. United States: N. p., 2020.
Web. doi:10.1017/s0022377819000813.
Howell, Eric C., & Hanson, J. D. Development of a non-parametric Gaussian process model in the three-dimensional equilibrium reconstruction code V3FIT. United States. https://doi.org/10.1017/s0022377819000813
Howell, Eric C., and Hanson, J. D. Mon .
"Development of a non-parametric Gaussian process model in the three-dimensional equilibrium reconstruction code V3FIT". United States. https://doi.org/10.1017/s0022377819000813. https://www.osti.gov/servlets/purl/1800135.
@article{osti_1800135,
title = {Development of a non-parametric Gaussian process model in the three-dimensional equilibrium reconstruction code V3FIT},
author = {Howell, Eric C. and Hanson, J. D.},
abstractNote = {A non-parametric Gaussian process regression model is developed in the three-dimensional equilibrium reconstruction code V3FIT. A Gaussian process is a normal distribution of functions that is uniquely defined by specifying a mean function and covariance kernel function. Gaussian process regression assumes that an unknown profile belongs to a particular Gaussian process and uses Bayesian analysis to select the function the give the best fit to measured data. The implementation in V3FIT uses a hybrid representation where Gaussian processes are used to infer some of the equilibrium profiles and standard parametric techniques are used to infer the remaining profiles. The implementation of the Gaussian process is tested using both synthetic data and experimental data from multiple machines.},
doi = {10.1017/s0022377819000813},
journal = {Journal of Plasma Physics},
number = 1,
volume = 86,
place = {United States},
year = {Mon Jan 13 00:00:00 EST 2020},
month = {Mon Jan 13 00:00:00 EST 2020}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Three dimensional equilibrium solutions for a current-carrying reversed-field pinch plasma with a close-fitting conducting shell
journal, March 2016
- Koliner, J. J.; Cianciosa, M. R.; Boguski, J.
- Physics of Plasmas, Vol. 23, Issue 3
Equilibrium analysis of current profiles in tokamaks
journal, June 1990
- Lao, L. L.; Ferron, J. R.; Groebner, R. J.
- Nuclear Fusion, Vol. 30, Issue 6
Bifurcation to 3D Helical Magnetic Equilibrium in an Axisymmetric Toroidal Device
journal, December 2011
- Bergerson, W. F.; Auriemma, F.; Chapman, B. E.
- Physical Review Letters, Vol. 107, Issue 25
Non-axisymmetric equilibrium reconstruction of a current-carrying stellarator using external magnetic and soft x-ray inversion radius measurements
journal, December 2015
- Ma, X.; Maurer, D. A.; Knowlton, S. F.
- Physics of Plasmas, Vol. 22, Issue 12
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria
journal, January 1983
- Hirshman, S. P.
- Physics of Fluids, Vol. 26, Issue 12
Design and initial operation of a two-color soft x-ray camera system on the Compact Toroidal Hybrid experiment
journal, November 2014
- Herfindal, J. L.; Dawson, J. D.; Ennis, D. A.
- Review of Scientific Instruments, Vol. 85, Issue 11
Bayesian soft X-ray tomography using non-stationary Gaussian Processes
journal, August 2013
- Li, Dong; Svensson, J.; Thomsen, H.
- Review of Scientific Instruments, Vol. 84, Issue 8
Design, Construction, and Operation of the Compact Toroidal Hybrid
journal, May 2017
- Hartwell, G. J.; Knowlton, S. F.; Hanson, J. D.
- Fusion Science and Technology, Vol. 72, Issue 1
The Madison Symmetric Torus
journal, January 1991
- Dexter, R. N.; Kerst, D. W.; Lovell, T. W.
- Fusion Technology, Vol. 19, Issue 1
Determination of current and rotational transform profiles in a current-carrying stellarator using soft x-ray emissivity measurements
journal, January 2018
- Ma, X.; Cianciosa, M. R.; Ennis, D. A.
- Physics of Plasmas, Vol. 25, Issue 1
Bayesian electron density inference from JET lithium beam emission spectra using Gaussian processes
journal, January 2017
- Kwak, Sehyun; Svensson, J.; Brix, M.
- Nuclear Fusion, Vol. 57, Issue 3
V3FIT: a code for three-dimensional equilibrium reconstruction
journal, July 2009
- Hanson, James D.; Hirshman, Steven P.; Knowlton, Stephen F.
- Nuclear Fusion, Vol. 49, Issue 7
Improved profile fitting and quantification of uncertainty in experimental measurements of impurity transport coefficients using Gaussian process regression
journal, January 2015
- Chilenski, M. A.; Greenwald, M.; Marzouk, Y.
- Nuclear Fusion, Vol. 55, Issue 2
3D equilibrium reconstruction with islands
journal, March 2018
- Cianciosa, M.; Hirshman, S. P.; Seal, S. K.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 4