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Fixed bandwidth values

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MBulli
2018-03-14 18:04:13 +01:00
parent cac8868b36
commit 885ff2a87e
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tex/chapters/experiments.tex
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@@ -31,7 +31,7 @@ A minimum error is obtained with $h=0.35$, for larger values oversmoothing occur
Both the BKDE and the ExBoxKDE resemble the error curve of the KDE quite well and stable. Both the BKDE and the ExBoxKDE resemble the error curve of the KDE quite well and stable.
They are rather close to each other, with a tendency to diverge for larger $h$. They are rather close to each other, with a tendency to diverge for larger $h$.
In contrast, the error curve of the BoxKDE has noticeable jumps at $h=\{0.25, 0.40, 0.67, 0.82\}$. In contrast, the error curve of the BoxKDE has noticeable jumps at $h=\{0.25, 0.44, 0.57, 0.73, 0.89\}$.
These jumps are caused by the rounding of the integer-valued box width given by \eqref{eq:boxidealwidth}. These jumps are caused by the rounding of the integer-valued box width given by \eqref{eq:boxidealwidth}.
As the extended box filter is able to approximate an exact $\sigma$, such discontinuities do not appear. As the extended box filter is able to approximate an exact $\sigma$, such discontinuities do not appear.