small change to project text

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Morten Hjorth-Jensen
2023-09-19 11:52:10 +02:00
parent 029b2427e3
commit c38c1c3bbb
14 changed files with 211 additions and 226 deletions
+3 -4
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@@ -39,7 +39,6 @@ Here the expected value $\mathbb{E}$ is the sample value.
Show that you can rewrite this in terms of a term which contains the variance of the model itself (the so-called variance term), a
term which measures the deviation from the true data and the mean value of the model (the bias term) and finally the variance of the noise.
That is, show that
!bt
\[
@@ -55,11 +54,10 @@ 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.
Explain what the terms mean and discuss their interpretations.
Explain what the terms mean and discuss their interpretations.
@@ -76,3 +74,4 @@ You can follow the code example in the jupyter-book at URL:"https://compphysics.
See also the whiteboard notes from week 37 at URL:"https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesSep14.pdf"