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Conference Paper (international conference)

Robust sparse linear regression for tokamak plasma boundary estimation using variational Bayes

Škvára Vít, Šmídl Václav, Urban Jakub

: Journal of Physics: Conference Series, 012015

: IOP Science, ( 2018)

:

: 9th International Conference on Inverse Problems in Engineering, (Waterloo, CA, 20170523)

: SGS15/214/OHK4/3T/14, ČVUT, RICE LO1607, GA MŠk, LM2015045, GA MŠk, 8D15001, GA MŠk

: statistics, plasma physics, tokamak, variational Bayes

: 10.1088/1742-6596/1047/1/012015

: http://library.utia.cas.cz/separaty/2018/AS/skvara-0491728.pdf

(eng): Precise control of the shape of plasma in a tokamak requires reliable reconstruction of the plasma boundary. The problem of boundary estimation can be reduced to a simple linear regression with a potentially infinite amount of regressors. This regression problem poses some difficulties for classical methods. The selection of regressors significantly influences the reconstructed boundary. Also, the underlying model may not be valid during certain phases of the plasma discharge. Formal model structure estimation technique based on the automatic relevance principle yields a version of sparse least squares estimator. In this contribution, we extend the previous method by relaxing the assumption of Gaussian noise and using Student’s t-distribution instead. Such a model is less sensitive to potential outliers in the measurement. We show on simulations and real data that the proposed modification improves estimation of the plasma boundary in some stages of a plasma discharge. Performance of the resulting algorithm is evaluated with respect to a more detailed and computationally costly model which is considered to be the „ground truth“. The results are also compared to those of Lasso and Tikhonov regularization techniques.

: BL

: 10305

2019-01-07 08:39