deleted a line
This commit is contained in:
@@ -2990,9 +2990,7 @@ eigenvalues ordered in a descending way, that is \( \sigma_i \geq
|
||||
\sigma_{i+1} \).
|
||||
|
||||
<p>
|
||||
For small eigenvalues \( \sigma_i \) it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom.
|
||||
Actually, calculating the variance of \( \boldsymbol{X}\boldsymbol{v}_j \) shows that this quantity is equal to \( \sigma_j^2/n \).
|
||||
With a parameter \( \lambda \) we can thus shrink the role of specific parameters.
|
||||
For small eigenvalues \( \sigma_i \) it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom. More about this when we have covered the material on a statistical interpretation of various linear regression methods.
|
||||
</section>
|
||||
|
||||
|
||||
|
||||
@@ -2944,9 +2944,7 @@ eigenvalues ordered in a descending way, that is \( \sigma_i \geq
|
||||
\sigma_{i+1} \).
|
||||
|
||||
<p>
|
||||
For small eigenvalues \( \sigma_i \) it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom.
|
||||
Actually, calculating the variance of \( \boldsymbol{X}\boldsymbol{v}_j \) shows that this quantity is equal to \( \sigma_j^2/n \).
|
||||
With a parameter \( \lambda \) we can thus shrink the role of specific parameters.
|
||||
For small eigenvalues \( \sigma_i \) it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom. More about this when we have covered the material on a statistical interpretation of various linear regression methods.
|
||||
|
||||
<p>
|
||||
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
|
||||
|
||||
@@ -2949,9 +2949,7 @@ eigenvalues ordered in a descending way, that is \( \sigma_i \geq
|
||||
\sigma_{i+1} \).
|
||||
|
||||
<p>
|
||||
For small eigenvalues \( \sigma_i \) it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom.
|
||||
Actually, calculating the variance of \( \boldsymbol{X}\boldsymbol{v}_j \) shows that this quantity is equal to \( \sigma_j^2/n \).
|
||||
With a parameter \( \lambda \) we can thus shrink the role of specific parameters.
|
||||
For small eigenvalues \( \sigma_i \) it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom. More about this when we have covered the material on a statistical interpretation of various linear regression methods.
|
||||
|
||||
<p>
|
||||
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
|
||||
|
||||
Binary file not shown.
@@ -3928,9 +3928,7 @@
|
||||
"eigenvalues ordered in a descending way, that is $\\sigma_i \\geq\n",
|
||||
"\\sigma_{i+1}$.\n",
|
||||
"\n",
|
||||
"For small eigenvalues $\\sigma_i$ it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom.\n",
|
||||
"Actually, calculating the variance of $\\boldsymbol{X}\\boldsymbol{v}_j$ shows that this quantity is equal to $\\sigma_j^2/n$.\n",
|
||||
"With a parameter $\\lambda$ we can thus shrink the role of specific parameters. \n",
|
||||
"For small eigenvalues $\\sigma_i$ it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom. More about this when we have covered the material on a statistical interpretation of various linear regression methods.\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"## More interpretations\n",
|
||||
|
||||
@@ -2436,9 +2436,7 @@ $\frac{\sigma_j^2}{\sigma_j^2+\lambda}$. Recall that the SVD has
|
||||
eigenvalues ordered in a descending way, that is $\sigma_i \geq
|
||||
\sigma_{i+1}$.
|
||||
|
||||
For small eigenvalues $\sigma_i$ it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom.
|
||||
Actually, calculating the variance of $\bm{X}\bm{v}_j$ shows that this quantity is equal to $\sigma_j^2/n$.
|
||||
With a parameter $\lambda$ we can thus shrink the role of specific parameters.
|
||||
For small eigenvalues $\sigma_i$ it means that their contributions become less important, a fact which can be used to reduce the number of degrees of freedom. More about this when we have covered the material on a statistical interpretation of various linear regression methods.
|
||||
|
||||
|
||||
!split
|
||||
|
||||
File diff suppressed because it is too large
Load Diff
Reference in New Issue
Block a user