Table 5 Kernel function forms which are tested to determine the best performing alternative.
From: Data-driven analysis of neutron diffraction line profiles: application to plastically deformed Ta
Kernel Function Forms |
|---|
\(k_{RBF} = \exp \left( { - \frac{1}{2}\left( \frac{d}{l} \right)^{2} } \right), {{\varvec{\uptheta}}} = \left[ l \right]\) |
\(k_{Matern} \left( {\nu = 1.5} \right) = \left( {1 + \frac{\sqrt 3 d}{l}} \right)\exp \left( { - \frac{\sqrt 3 d}{l}} \right),{{\varvec{\uptheta}}} = \left[ {l,\nu } \right]\) |
\(k_{Matern} \left( {\nu = 2.5} \right) = \left( {1 + \frac{\sqrt 5 d}{l} + \frac{{5d^{2} }}{{3l^{2} }}} \right)\exp \left( { - \frac{\sqrt 5 d}{l}} \right)\) |
\(k_{RQ} = \left( {1 + \frac{{d^{2} }}{{2\phi l^{2} }}} \right)^{ - \phi } , {{\varvec{\uptheta}}} = \left[ {l,\phi } \right]\) |
