Skip to content

Commit

Permalink
update
Browse files Browse the repository at this point in the history
  • Loading branch information
trungtrinh44 committed May 4, 2024
1 parent 87f5577 commit 3cea487
Showing 1 changed file with 0 additions and 7 deletions.
7 changes: 0 additions & 7 deletions index.md
Original file line number Diff line number Diff line change
Expand Up @@ -65,12 +65,5 @@ Each <span class="my_blue">lengthscale</span> is inversely proportional to the s

<ul>
<li> Use PCA to get the <span class="my_blue">eigenvalues</span> and <span class="my_red">eigenvectors</span> of the training data: \\(\\{ {\color{red}\mathbf{u}\_d},{\color[RGB]{68,114,196}\lambda\_d}\\}\_{d=1}^D\\)
<li>Define the base kernel:

<img src="./assets/pca_kernel.svg" alt="drawing" width="80%" max-width="800px">

<ul>
<li>\\( {\color{red}U} = \begin{bmatrix} {\color{red}\mathbf{u}\_1} & {\color{red}\mathbf{u}\_2} \cdots {\color{red}\mathbf{u}\_D} \end{bmatrix} \\) is a matrix containing the <span class="my_red">eigenvectors</span> as columns.
<li>\\( {\color[RGB]{68,114,196}\boldsymbol{\Sigma}^{-1}\_{\alpha}} = (1-\alpha)\mathbf{I} + \alpha {\color[RGB]{68,114,196}\boldsymbol{\Lambda} } \\) where \\( \color[RGB]{68,114,196}\boldsymbol{\Lambda} \\) is a diagonal matrix containing the <span class="my_blue">eigenvalues</span>
</ul>
</ul>

0 comments on commit 3cea487

Please sign in to comment.