masters-thesis

commit 66ea655111a5db046d24abcf546e634bfcdbbd91
parent 5d03615d035b5d7fede69ab34a69e11e44dc66ed
Author: Silas Brack <s174433@student.dtu.dk>
Date:   Thu, 23 Feb 2023 12:14:34 +0100

Final commit.

Diffstat:
M
.gitignore
 | 
2
+-
M
chapters/training.tex
 | 
2
+-
A
main.pdf
 | 
0

3 files changed, 2 insertions(+), 2 deletions(-)
diff --git a/.gitignore b/.gitignore
@@ -301,4 +301,4 @@ TSWLatexianTemp*
 #*Notes.bib
 
 .vscode/
-main.pdf
+# main.pdf
diff --git a/chapters/training.tex b/chapters/training.tex
@@ -47,7 +47,7 @@ As in \cref{eq:laplace-taylor}, we have the approximate Laplace log-posterior
 The approximate Laplace marginal is then computed as
 \begin{align}\label{eq:laplace-marginal}
     \begin{split}
-        p(\bm y) ={} \stackrel{\textsc{la}}{\approx}{} & \int_{\bm \theta} p(\bm \theta_{\textsc{map}} \given \bm y) \exp\left( -\frac{1}{2} (\bm \theta - \bm \theta_{\textsc{map}}) \bm \Lambda (\bm \theta - \bm \theta_{\textsc{map}}) \right)\,d \bm \theta
+        p(\bm y) \stackrel{\textsc{la}}{\approx}{} & \int_{\bm \theta} p(\bm \theta_{\textsc{map}} \given \bm y) \exp\left( -\frac{1}{2} (\bm \theta - \bm \theta_{\textsc{map}}) \bm \Lambda (\bm \theta - \bm \theta_{\textsc{map}}) \right)\,d \bm \theta
         \\ ={}& p(\bm \theta_{\textsc{map}} \given \bm y) \int_{\bm \theta} \exp\left( -\frac{1}{2} (\bm \theta - \bm \theta_{\textsc{map}}) \bm \Lambda (\bm \theta - \bm \theta_{\textsc{map}})\right)\,d \bm \theta
         \\ ={}& p(\bm \theta_{\textsc{map}} \given \bm y)\,(2 \pi)^{D / 2}\,(\det \bm \Lambda)^{-1/2}.
     \end{split}
diff --git a/main.pdf b/main.pdf
Binary files differ.