We propose a new technique based on Parametric Model Order Reduction to efficiently calculate the Polynomial Chaos Expansion of the induced electric field in the human brain in the framework of Transcranial Magnetic Stimulation. A comparison to traditional non-intrusive methods based on regression is provided. Relative differences of the mean and standard deviation $<0.1$~\% show the accuracy of the presented method. The new algorithm accelerates the computations by more than two orders of magnitude. In this way, the computational overhead in case of uncertainty quantification is considerably decreased with respect to standard methods.
Fast MOR-based approach to uncertainty quantification in transcranial magnetic stimulation
CODECASA, LORENZO;DI RIENZO, LUCA;
2016-01-01
Abstract
We propose a new technique based on Parametric Model Order Reduction to efficiently calculate the Polynomial Chaos Expansion of the induced electric field in the human brain in the framework of Transcranial Magnetic Stimulation. A comparison to traditional non-intrusive methods based on regression is provided. Relative differences of the mean and standard deviation $<0.1$~\% show the accuracy of the presented method. The new algorithm accelerates the computations by more than two orders of magnitude. In this way, the computational overhead in case of uncertainty quantification is considerably decreased with respect to standard methods.File | Dimensione | Formato | |
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