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[AMR] Notes in various sections
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\subsection{Linear Least Squares}
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\bi{Goal}: $\argmin{x \in \R^n} ||\mat{A}\vec{x} - b||^2_2$, $\mat{A}$: rows $i$-th datap. col $c$: $t_i^{c - 1}$.
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Alt: compute sum of squared errors $S$, then min. $S$, i.e. solve system $\pardiff{\alpha}S = 0$, $\pardiff{r} S = 0$ for $\{ \alpha, r \}$ the params
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\bi{Man. sol.}: comp. $M = A^\top A$, $b' = A^\top b$, then $Mx = b'$.
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\bi{Prob. sol.}: $\text{argmax} \; \P(\vec{x} \divider \vec{z})$ with Maximum \dots
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