Deploying to gh-pages from @ f80fd2f 🚀

Author: Carol-seven

articles/pen_est.html

@@ -17,10 +17,9 @@ Consider the following setting:
 
 ## Sparse-Group Estimator
 
-\$\$ \hat{\Omega}(\lambda,\alpha,\gamma) =
-\operatorname\*{arg\\min}\_{\Omega \succ 0} \Bigl\\ - \log\det(\Omega) +
-\operatorname{tr}(S\Omega) + P\_{\lambda,\alpha,\gamma}(\Omega) \Bigr\\,
-\$\$
+\$\$ \hat{\Omega}(\lambda,\alpha,\gamma) = {\arg\min}\_{\Omega \succ 0}
+\Bigl\\ - \log\det(\Omega) + \operatorname{tr}(S\Omega) +
+P\_{\lambda,\alpha,\gamma}(\Omega) \Bigr\\, \$\$
 $$P_{\lambda,\alpha,\gamma}(\Omega) = \alpha P_{\lambda,\gamma}^{\text{individual}}(\Omega) + (1 - \alpha)P_{\lambda,\gamma}^{\text{group}}(\Omega),$$$$P_{\lambda,\gamma}^{\text{individual}}(\Omega) = \sum\limits_{i,j}p_{\lambda,\gamma}\left( |\omega_{ij}| \right),$$$$P_{\lambda,\gamma}^{\text{group}}(\Omega) = \sum\limits_{g,g^{\prime}}p_{\lambda,\gamma}\left( \|\Omega_{gg^{\prime}}\|_{F} \right).$$
 
 where:

articles/pen_est.md

@@ -7,10 +7,9 @@ that incorporate both element-wise and group-wise penalties to estimate
 a precision matrix, making them user-friendly and useful for researchers
 and practitioners.
 
-\$\$\hat{\Omega}(\lambda,\alpha,\gamma) =
-\operatorname\*{arg\\min}\_{\Omega \succ 0} \Bigl\\ - \log\det(\Omega) +
-\operatorname{tr}(S\Omega) + P\_{\lambda,\alpha,\gamma}(\Omega)
-\Bigr\\,\$\$
+\$\$\hat{\Omega}(\lambda,\alpha,\gamma) = {\arg\min}\_{\Omega \succ 0}
+\Bigl\\ - \log\det(\Omega) + \operatorname{tr}(S\Omega) +
+P\_{\lambda,\alpha,\gamma}(\Omega) \Bigr\\,\$\$
 
 $$P_{\lambda,\alpha,\gamma}(\Omega) = \alpha P_{\lambda,\gamma}^{\text{individual}}(\Omega) + (1 - \alpha)P_{\lambda,\gamma}^{\text{group}}(\Omega),$$
 

index.html

@@ -7,10 +7,9 @@ that incorporate both element-wise and group-wise penalties to estimate
 a precision matrix, making them user-friendly and useful for researchers
 and practitioners.
 
-\$\$\hat{\Omega}(\lambda,\alpha,\gamma) =
-\operatorname\*{arg\\min}\_{\Omega \succ 0} \Bigl\\ - \log\det(\Omega) +
-\operatorname{tr}(S\Omega) + P\_{\lambda,\alpha,\gamma}(\Omega)
-\Bigr\\,\$\$
+\$\$\hat{\Omega}(\lambda,\alpha,\gamma) = {\arg\min}\_{\Omega \succ 0}
+\Bigl\\ - \log\det(\Omega) + \operatorname{tr}(S\Omega) +
+P\_{\lambda,\alpha,\gamma}(\Omega) \Bigr\\,\$\$
 
 $$P_{\lambda,\alpha,\gamma}(\Omega) = \alpha P_{\lambda,\gamma}^{\text{individual}}(\Omega) + (1 - \alpha)P_{\lambda,\gamma}^{\text{group}}(\Omega),$$
 

index.md

@@ -3,7 +3,7 @@ pkgdown: 2.2.0
 pkgdown_sha: ~
 articles:
   pen_est: pen_est.html
-last_built: 2025-11-18T02:12Z
+last_built: 2025-11-18T02:22Z
 urls:
   reference: https://shiying-xiao.com/grasps/reference
   article: https://shiying-xiao.com/grasps/articles