{ "_id": "6a16da6aacfb0bcc41d8f6b5", "Package": "GWnorm", "Type": "Package", "Title": "G-Wishart Normalising Constants for Gaussian Graphical Models", "Version": "1.0.1", "Date": "2026-05-27", "Authors@R": "c(person(given = \"Ching\",\nfamily = \"Wong\",\nrole = c(\"aut\")),\nperson(given = \"Jack\",\nfamily = \"Kuipers\",\nrole = c(\"aut\", \"cre\"),\nemail = \"jack.kuipers@bsse.ethz.ch\"))", "Author": "Ching Wong [aut], Jack Kuipers [aut, cre]", "Maintainer": "Jack Kuipers ", "Description": "Computes G-Wishart normalising constants through a Fourier\napproach. Either exact analytical results, numerical\nintegration or Monte Carlo estimation are employed. Details at\nC. Wong, G. Moffa and J. Kuipers (2024),\n. Also includes approximations\nof the ratio of normalising constants, see details at C. Wong,\nG. Moffa and J. 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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", "topics": [ "C_GtoI_G" ] }, { "page": "check_prime_connected", "title": "This function just checks if a graph is connected and prime", "topics": [ "check_prime_connected" ] }, { "page": "chordal_factor", "title": "Chordal Factor # do not export", "topics": [ "chordal_factor" ] }, { "page": "Clique_complete", "title": "Clique-completion", "topics": [ "Clique_complete" ] }, { "page": "clique_update_D", "title": "Newton-Raphson update for the clique-completion", "topics": [ "clique_update_D" ] }, { "page": "form_triangle", "title": "Find triangle contains two missing edges # do not export", "topics": [ "form_triangle" ] }, { "page": "I_G_BD", "title": "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", "topics": [ "I_G_BD" ] }, { "page": "I_G_chordal", "title": "G Wishart normalising constant for chordal graphs", "topics": [ "I_G_chordal" ] }, { "page": "I_G_complete", "title": "G Wishart normalising constant for complete graphs", "topics": [ "I_G_complete" ] }, { "page": "I_G_MC", "title": "G Wishart normalising constant through MC integration", "topics": [ "I_G_MC" ] }, { "page": "I_G_ratio_approx", "title": "G Wishart normalising constant", "topics": [ "I_G_ratio_approx" ] }, { "page": "I_G_ratio_approx_prime", "title": "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", "topics": [ "I_G_ratio_approx_prime" ] }, { "page": "I_G_special", "title": "G Wishart normalising constant for special cases", "topics": [ "I_G_special" ] }, { "page": "I_Gnorm", "title": "G Wishart normalising constant", "topics": [ "I_Gnorm" ] }, { "page": "I_GtoC_G", "title": "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", "topics": [ "I_GtoC_G" ] }, { "page": "is_6_cycle", "title": "Determine whether the graph is the cycle of length 6 or its complement", "topics": [ "is_6_cycle" ] }, { "page": "is_k_partite", "title": "Determine whether the graph is complete k partite", "topics": [ "is_k_partite" ] }, { "page": "Iss_cmat", "title": "Isserlis complement matrix", "topics": [ "Iss_cmat" ] }, { "page": 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