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Morten Hjorth-Jensen
2023-09-19 11:49:04 +02:00
parent 3ded8d6726
commit 029b2427e3
9 changed files with 64 additions and 64 deletions
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doc/Projects/2023/Project1/html/._Project1-bs000.html
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@@ -499,10 +499,10 @@ $$
<p>and </p>
$$
\mathrm{var}[\tilde{y}]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2.
\mathrm{var}[\tilde{y}]=\mathbb{E}\left[\left(\tilde{\boldsymbol{y}}-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right]\right)^2\right]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2.
$$
<p>The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 37.
<p>The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 38.
Explain what the terms mean and discuss their interpretations.
</p>
doc/Projects/2023/Project1/html/Project1-bs.html
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@@ -499,10 +499,10 @@ $$
<p>and </p>
$$
\mathrm{var}[\tilde{y}]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2.
\mathrm{var}[\tilde{y}]=\mathbb{E}\left[\left(\tilde{\boldsymbol{y}}-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right]\right)^2\right]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2.
$$
<p>The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 37.
<p>The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 38.
Explain what the terms mean and discuss their interpretations.
</p>
doc/Projects/2023/Project1/html/Project1.html
+2 -2
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@@ -535,10 +535,10 @@ $$
<p>and </p>
$$
\mathrm{var}[\tilde{y}]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2.
\mathrm{var}[\tilde{y}]=\mathbb{E}\left[\left(\tilde{\boldsymbol{y}}-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right]\right)^2\right]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2.
$$
<p>The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 37.
<p>The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 38.
Explain what the terms mean and discuss their interpretations.
</p>
doc/Projects/2023/Project1/ipynb/Project1.ipynb
+52 -52
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@@ -2,7 +2,7 @@
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@@ -14,7 +14,7 @@
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@@ -27,7 +27,7 @@
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@@ -63,7 +63,7 @@
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@@ -85,7 +85,7 @@
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@@ -100,7 +100,7 @@
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@@ -133,7 +133,7 @@
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@@ -185,7 +185,7 @@
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@@ -207,7 +207,7 @@
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@@ -220,7 +220,7 @@
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@@ -232,7 +232,7 @@
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@@ -244,7 +244,7 @@
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@@ -254,7 +254,7 @@
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@@ -266,7 +266,7 @@
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@@ -295,7 +295,7 @@
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@@ -313,7 +313,7 @@
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@@ -330,7 +330,7 @@
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@@ -346,7 +346,7 @@
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@@ -358,7 +358,7 @@
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@@ -369,7 +369,7 @@
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@@ -381,7 +381,7 @@
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@@ -393,7 +393,7 @@
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@@ -405,7 +405,7 @@
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@@ -428,7 +428,7 @@
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@@ -441,7 +441,7 @@
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@@ -453,7 +453,7 @@
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@@ -463,7 +463,7 @@
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@@ -475,7 +475,7 @@
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@@ -486,7 +486,7 @@
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@@ -519,7 +519,7 @@
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@@ -531,7 +531,7 @@
},
{
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@@ -550,7 +550,7 @@
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@@ -562,7 +562,7 @@
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@@ -576,7 +576,7 @@
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@@ -588,7 +588,7 @@
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@@ -598,7 +598,7 @@
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@@ -610,7 +610,7 @@
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@@ -620,24 +620,24 @@
},
{
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"source": [
"$$\n",
"\\mathrm{var}[\\tilde{y}]=\\frac{1}{n}\\sum_i(\\tilde{y}_i-\\mathbb{E}\\left[\\boldsymbol{\\tilde{y}}\\right])^2.\n",
"\\mathrm{var}[\\tilde{y}]=\\mathbb{E}\\left[\\left(\\tilde{\\boldsymbol{y}}-\\mathbb{E}\\left[\\boldsymbol{\\tilde{y}}\\right]\\right)^2\\right]=\\frac{1}{n}\\sum_i(\\tilde{y}_i-\\mathbb{E}\\left[\\boldsymbol{\\tilde{y}}\\right])^2.\n",
"$$"
]
},
{
"cell_type": "markdown",
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"metadata": {
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"source": [
"The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 37.\n",
"The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 38.\n",
"Explain what the terms mean and discuss their interpretations.\n",
"\n",
"Perform then a bias-variance analysis of the Franke function by\n",
@@ -651,7 +651,7 @@
},
{
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@@ -676,7 +676,7 @@
},
{
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@@ -704,7 +704,7 @@
{
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@@ -716,7 +716,7 @@
},
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@@ -728,7 +728,7 @@
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@@ -754,7 +754,7 @@
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@@ -779,7 +779,7 @@
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@@ -845,7 +845,7 @@
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doc/Projects/2023/Project1/ipynb/ipynb-Project1-src.tar.gz
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doc/Projects/2023/Project1/pdf/Project1.p.tex
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@@ -459,9 +459,9 @@ with
\]
and
\[
\mathrm{var}[\tilde{y}]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\bm{\tilde{y}}\right])^2.
\mathrm{var}[\tilde{y}]=\mathbb{E}\left[\left(\tilde{\bm{y}}-\mathbb{E}\left[\bm{\tilde{y}}\right]\right)^2\right]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\bm{\tilde{y}}\right])^2.
\]
The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 37.
The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 38.
Explain what the terms mean and discuss their interpretations.
Perform then a bias-variance analysis of the Franke function by
doc/Projects/2023/Project1/pdf/Project1.pdf
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doc/Projects/2023/Project1/pdf/Project1.tex
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@@ -429,9 +429,9 @@ with
\]
and
\[
\mathrm{var}[\tilde{y}]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\bm{\tilde{y}}\right])^2.
\mathrm{var}[\tilde{y}]=\mathbb{E}\left[\left(\tilde{\bm{y}}-\mathbb{E}\left[\bm{\tilde{y}}\right]\right)^2\right]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\bm{\tilde{y}}\right])^2.
\]
The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 37.
The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 38.
Explain what the terms mean and discuss their interpretations.
Perform then a bias-variance analysis of the Franke function by
doc/src/Projects/2023/Project1/Project1.do.txt
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@@ -336,10 +336,10 @@ with
and
!bt
\[
\mathrm{var}[\tilde{y}]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\bm{\tilde{y}}\right])^2.
\mathrm{var}[\tilde{y}]=\mathbb{E}\left[\left(\tilde{\bm{y}}-\mathbb{E}\left[\bm{\tilde{y}}\right]\right)^2\right]=\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\bm{\tilde{y}}\right])^2.
\]
!et
The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 37.
The answer to this exercise should be included in the theory part of the report. This exercise is also part of the weekly exercises of week 38.
Explain what the terms mean and discuss their interpretations.
Perform then a bias-variance analysis of the Franke function by