Core ridge functionsThe core functions for graphical ridge regression are: |
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Ridge estimation for high-dimensional precision matrices |
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Generate a (data-driven) default target for usage in ridge-type shrinkage estimation |
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Simulate sample covariances or datasets |
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Fused ridge functionsThe core fused graphical ridge regression are: |
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Gaussian graphical model network statistics |
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Fused gaussian graphical model node pair path statistics |
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Fused Kullback-Leibler divergence for sets of distributions |
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Evaluate the (penalized) (fused) likelihood |
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Generate data-driven targets for fused ridge estimation |
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Identify optimal ridge and fused ridge penalties |
Fused ridge estimation |
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Determine support of multiple partial correlation/precision matrices |
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Test the necessity of fusion |
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Simulate sample covariances or datasets |
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PostprocessingPost-processing of estimated inverse covariance matrices: |
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Determine the support of a partial correlation/precision matrix |
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DataDatasets shipped with rags2ridges: |
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R-objects related to metabolomics data on patients with Alzheimer's Disease |
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Helper & auxiliary functionsVarious helpful functions: |
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Test if fused list-formats are correctly used |
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Test for symmetric positive (semi-)definiteness |
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Evaluate the (penalized) (fused) likelihood |
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AllAll exported functions and datasets: |
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R-objects related to metabolomics data on patients with Alzheimer's Disease |
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Visualize the spectral condition number against the regularization parameter |
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Search and visualize community-structures |
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Visualize the differential graph |
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Generate the distribution of the penalty parameter under the null hypothesis of block-independence |
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Test for block-indepedence |
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Mutual information between two sets of variates within a multivariate normal distribution |
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Gaussian graphical model network statistics |
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Gaussian graphical model network statistics |
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Gaussian graphical model node pair path statistics |
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Fused gaussian graphical model node pair path statistics |
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Kullback-Leibler divergence between two multivariate normal distributions |
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Fused Kullback-Leibler divergence for sets of distributions |
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Evaluate the (penalized) (fused) likelihood |
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Visualize undirected graph |
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Subset 2 square matrices to union of variables having nonzero entries |
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Transform real matrix into an adjacency matrix |
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Visualize the spectral condition number against the regularization parameter |
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Maximum likelihood estimation of the covariance matrix |
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Maximum likelihood estimation of the covariance matrix with assumptions on its structure |
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Simulate sample covariances or datasets |
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Construct commonly used penalty matrices |
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Generate a (data-driven) default target for usage in ridge-type shrinkage estimation |
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Generate data-driven targets for fused ridge estimation |
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Visualize (precision) matrix as a heatmap |
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Evaluate numerical properties square matrix |
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Visual inspection of the fit of a regularized precision matrix |
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Wrapper function |
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Test the necessity of fusion |
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Test if fused list-formats are correctly used |
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Test for symmetric positive (semi-)definiteness |
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Construct target matrix from KEGG |
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Evaluate regularized precision under various loss functions |
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Moments of the sample covariance matrix. |
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Select optimal penalty parameter by leave-one-out cross-validation |
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Automatic search for optimal penalty parameter |
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Select optimal penalty parameter by approximate leave-one-out cross-validation |
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Identify optimal ridge and fused ridge penalties |
Select optimal penalty parameter by \(K\)-fold cross-validation |
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Automatic search for optimal penalty parameter |
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Automatic search for penalty parameter of ridge precision estimator with known chordal support |
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Compute partial correlation matrix or standardized precision matrix |
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Plot the results of a fusion test |
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Compute the pooled covariance or precision matrix estimate |
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Print and plot functions for fused grid-based cross-validation |
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Print and summarize fusion test |
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Prune square matrix to those variables having nonzero entries |
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Ridge estimation for high-dimensional precision matrices |
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Ridge estimation for high-dimensional precision matrices |
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Fused ridge estimation |
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Visualize the regularization path |
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Ridge estimation for high-dimensional precision matrices with known chordal support |
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Ridge estimation for high-dimensional precision matrices with known sign of off-diagonal precision elements. |
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Ridge estimation for high-dimensional precision matrices |
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Multivariate Gaussian simulation |
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Determine the support of a partial correlation/precision matrix |
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Determine support of multiple partial correlation/precision matrices |
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Support of the adjacency matrix to cliques and separators. |
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Symmetrize matrix |