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MSE explicit

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Mickaël Véril 2020-10-27 11:53:39 +01:00
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Manuscript/QUEST_WIREs.tex
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@ -719,7 +719,7 @@ And $\err_\meth$ the error vector of the method $\meth$ compared to the referenc
When the vertical excitation $x$ is defined for the method $\meth$ and the method $\text{ref}$. When the vertical excitation $x$ is defined for the method $\meth$ and the method $\text{ref}$.
So with $\nExnn$ the size of the vector $\vec{\err^x_\meth}$ So with $\nExnn$ the size of the vector $\vec{\err^x_\meth}$
\begin{gather} \begin{gather}
MSE_\meth = \overline{{\vec{\err_\meth}}} \\ MSE_\meth = \overline{{\vec{\err_\meth}}} = \frac{1}{\nExnn}\sum_x=1^\nExnn\err_\meth^x \\
MAE_\meth = \overline{\abs{\vec{\err_\meth}}} \\ MAE_\meth = \overline{\abs{\vec{\err_\meth}}} \\
RMSE_\meth = \sqrt{\overline{\vec{\err_\meth}^2}} \\ RMSE_\meth = \sqrt{\overline{\vec{\err_\meth}^2}} \\
SDE_\meth = \sqrt{\frac{1}{\nExnn}\sum_{x=1}^\nExnn\err_x^2-MAE^2} SDE_\meth = \sqrt{\frac{1}{\nExnn}\sum_{x=1}^\nExnn\err_x^2-MAE^2}