G-Wishart Normalising Constants for Gaussian Graphical Models

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Documentation for package ‘GWnorm’ version 1.0.1

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annotate_cliques this helper function adds information to cliques related to the missing edges
check_prime_connected This function just checks if a graph is connected and prime
chordal_factor Chordal Factor # do not export
Clique_complete Clique-completion
clique_update_D Newton-Raphson update for the clique-completion
C_GtoI_G This function returns the log of the G-Wishart normalising constant I_G(beta, D) = int_[S^p_++(G)] det(K)^beta * exp(-tr(KD)) dK from the transformed version log(C_G(delta, D)) = int_[S^p_++(G)] det(K)^((delta-2)/2) * exp(-tr(KD)/2) dK
form_triangle Find triangle contains two missing edges # do not export
Iss_cmat Isserlis complement matrix
Iss_mat Isserlis matrix
is_6_cycle Determine whether the graph is the cycle of length 6 or its complement
is_k_partite Determine whether the graph is complete k partite
I_Gnorm G Wishart normalising constant
I_GtoC_G This function returns the log of the G-Wishart normalising constant log(C_G(delta, D)) = int_[S^p_++(G)] det(K)^((delta-2)/2) * exp(-tr(KD)/2) dK from the transformed version I_G(beta, D) = int_[S^p_++(G)] det(K)^beta * exp(-tr(KD)) dK
I_G_BD This function is a wrapper for BDgraph to compare and to avoid the NOTE in the package checks since we only had BDgraph in the examples
I_G_chordal G Wishart normalising constant for chordal graphs
I_G_complete G Wishart normalising constant for complete graphs
I_G_MC G Wishart normalising constant through MC integration
I_G_ratio_approx G Wishart normalising constant
I_G_ratio_approx_prime This function returns the approximation of the ratio of log transformed G-Wishart normalising constants I_G(beta, D) / I_G(beta, I) for connected prime graphs G. If there is no explicit formula, the approximation is used. Note that this is the same as the ratio C_G(delta, D) / C_G(delta, I) with delta = 2*beta + 2
I_G_special G Wishart normalising constant for special cases
local_mean_grad Compute means and gradients for the Newton-Raphson update for the clique-completion
local_precision Compute second moment of the log expansion of the determinant (assuming the mean is 0 from Clique_completion)
PD_complete PD-completion
predict_row Predict Row # do not export
prime_decomp Prime Decomposition