minor typos

This commit is contained in:
Morten Hjorth-Jensen
2024-09-09 07:24:31 +02:00
parent 7d6ccbed0d
commit 66cc602750
7 changed files with 188 additions and 188 deletions
+2 -2
View File
@@ -411,14 +411,14 @@ constants terms that do not depend on $\beta$, we have
!bt
\[
C(\bm{\beta}=\frac{\vert\vert (\bm{y}-\bm{X}\bm{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\bm{\beta}\vert\vert_1,
C(\bm{\beta})=\frac{\vert\vert (\bm{y}-\bm{X}\bm{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\bm{\beta}\vert\vert_1,
\]
!et
and replacing $1/\tau$ with $\lambda$ we have
!bt
\[
C(\bm{\beta}=\frac{\vert\vert (\bm{y}-\bm{X}\bm{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\bm{\beta}\vert\vert_1,
C(\bm{\beta})=\frac{\vert\vert (\bm{y}-\bm{X}\bm{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\bm{\beta}\vert\vert_1,
\]
!et
which is our Lasso cost function!