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mhjensen
2018-09-11 22:02:35 +02:00
parent a2a1bb885f
commit 083b6c5854
7 changed files with 24 additions and 12 deletions
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doc/Projects/2018/Project1/html/._Project1-bs000.html
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@@ -177,7 +177,10 @@ the bootstrap methods, in order to perform a proper assessment of our models.
<p>
The Franke function, which is a weighted sum of four exponentials reads as follows
$$
f(x,y) = \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\begin{align*}
f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\
& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\end{align*}
$$
<p>
doc/Projects/2018/Project1/html/Project1-bs.html
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@@ -177,7 +177,10 @@ the bootstrap methods, in order to perform a proper assessment of our models.
<p>
The Franke function, which is a weighted sum of four exponentials reads as follows
$$
f(x,y) = \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\begin{align*}
f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\
& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\end{align*}
$$
<p>
doc/Projects/2018/Project1/html/Project1.html
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@@ -134,7 +134,10 @@ the bootstrap methods, in order to perform a proper assessment of our models.
<p>
The Franke function, which is a weighted sum of four exponentials reads as follows
$$
f(x,y) = \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\begin{align*}
f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\
& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\end{align*}
$$
<p>
doc/Projects/2018/Project1/ipynb/ipynb-Project1-src.tar.gz
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doc/Projects/2018/Project1/pdf/Project1.p.tex
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@@ -180,9 +180,10 @@ the bootstrap methods, in order to perform a proper assessment of our models.
The Franke function, which is a weighted sum of four exponentials reads as follows
\[
f(x,y) = \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\]
\begin{align*}
f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\
& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\end{align*}
The function will be defined for $x,y\in [0,1]$. Our first step will
be to perform an OLS regression analysis of this function, trying out
doc/Projects/2018/Project1/pdf/Project1.tex
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@@ -150,9 +150,10 @@ the bootstrap methods, in order to perform a proper assessment of our models.
The Franke function, which is a weighted sum of four exponentials reads as follows
\[
f(x,y) = \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\]
\begin{align*}
f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\
& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\end{align*}
The function will be defined for $x,y\in [0,1]$. Our first step will
be to perform an OLS regression analysis of this function, trying out
doc/src/Projects/2018/Project1/Project1.do.txt
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@@ -22,9 +22,10 @@ the bootstrap methods, in order to perform a proper assessment of our models.
The Franke function, which is a weighted sum of four exponentials reads as follows
!bt
\[
f(x,y) = \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\]
\begin{align*}
f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\
& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }.
\end{align*}
!et
The function will be defined for $x,y\in [0,1]$. Our first step will