--- res: bibo_abstract: - "An asymptotic theory is developed for computing volumes of regions in the parameter space of a directed Gaussian graphical model that are obtained by bounding partial correlations. We study these volumes using the method of real log canonical thresholds from algebraic geometry. Our analysis involves the computation of the singular loci of correlation hypersurfaces. Statistical applications include the strong-faithfulness assumption for the PC algorithm and the quantification of confounder bias in causal inference. A detailed analysis is presented for trees, bow ties, tripartite graphs, and complete graphs.\r\n@eng" bibo_authorlist: - foaf_Person: foaf_givenName: Shaowei foaf_name: Lin, Shaowei foaf_surname: Lin - foaf_Person: foaf_givenName: Caroline foaf_name: Uhler, Caroline foaf_surname: Uhler foaf_workInfoHomepage: http://www.librecat.org/personId=49ADD78E-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-7008-0216 - foaf_Person: foaf_givenName: Bernd foaf_name: Sturmfels, Bernd foaf_surname: Sturmfels - foaf_Person: foaf_givenName: Peter foaf_name: Bühlmann, Peter foaf_surname: Bühlmann bibo_doi: 10.1007/s10208-014-9205-0 bibo_issue: '5' bibo_volume: 14 dct_date: 2014^xs_gYear dct_language: eng dct_publisher: Springer@ dct_title: Hypersurfaces and their singularities in partial correlation testing@ ...