diff --git a/content/c2/s1/bayesian.md b/content/c2/s1/bayesian.md index f8e0d45..8590a71 100755 --- a/content/c2/s1/bayesian.md +++ b/content/c2/s1/bayesian.md @@ -156,7 +156,7 @@ $$ \begin{align} L(\bbetahat) &= \frac{1}{2}(\by - \bX\bbetahat)^\top(\by - \bX\bbetahat) + \frac{\lambda}{2}\bbetahat^\top \bbetahat \\ -&= \frac{1}{2}(\by - \bX\bbetahat)^\top(\by - \bX\bbetahat) + \frac{\lambda}{2} \sum_{d = 0}^D\hat{\beta}_d. +&= \frac{1}{2}(\by - \bX\bbetahat)^\top(\by - \bX\bbetahat) + \frac{\lambda}{2} \sum_{d = 0}^D\hat{\beta}_d^2. \end{align} $$ @@ -212,4 +212,4 @@ $$ \bbetahat &= \left(\bX^\top\bSigma^{-1} \bX + \bT^{-1}\right)^{-1}\bX^\top\bSigma^{-1}\by \\ &= \left(\frac{1}{\sigma^2}\bX^\top\bX + \frac{1}{\tau} I\right)^{-1}\frac{1}{\sigma^2}\bX^\top\by. \end{align*} -$$ \ No newline at end of file +$$