[AMR] updated first 4.5 sections

This commit is contained in:
2026-08-08 12:31:01 +02:00
parent 7cdba7dca9
commit c1bdbc64bf
20 changed files with 103 additions and 55 deletions
@@ -5,9 +5,11 @@ Alt: compute sum of squared errors $S$, then min. $S$, i.e. solve system $\pardi
\bi{Man. sol.}: comp. $M = A^\top A$, $b' = A^\top b$, then $Mx = b'$.
\bi{Numpy}: \texttt{numpy.linalg.lstsq}
\bi{Prob. sol.}: $\text{argmax} \; \P(\vec{x} \divider \vec{z})$ with Maximum \dots
\begin{itemize}
\item \bi{Likelihood} $\P(\vec{x} | \vec{z}) \propto \P(\vec{z} | \vec{x}) = \prod_{i = 1}^N \P(\vec{z}_i | \vec{x})$
\item \bi{a Post} $\P(\vec{x} | \vec{z}) \propto \P(\vec{z} | \vec{x}) \P(\vec{x}) = \P(\vec{x}) \prod_{i = 1}^N \P(\vec{z}_i | \vec{x})$
\end{itemize}
{\scriptsize Gauss-Dist (non)-lineaer meas. processed in batches, MLE is weighted non-linear Least Squares}
{\scriptsize Gauss-Dist (non)-linear meas. processed in batches, MLE is weighted non-linear Least Squares}