{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/variational-gaussian-copula-inference","title":"Variational Gaussian Copula Inference","arxiv_id":"1506.05860","date":"2015-06-19","proceeding":null,"authors":["Shaobo Han","Xuejun Liao","David B. Dunson","Lawrence Carin"],"abstract":"We utilize copulas to constitute a unified framework for constructing and\noptimizing variational proposals in hierarchical Bayesian models. For models\nwith continuous and non-Gaussian hidden variables, we propose a semiparametric\nand automated variational Gaussian copula approach, in which the parametric\nGaussian copula family is able to preserve multivariate posterior dependence,\nand the nonparametric transformations based on Bernstein polynomials provide\nample flexibility in characterizing the univariate marginal posteriors.","url_abs":"http://arxiv.org/abs/1506.05860v3","url_pdf":"http://arxiv.org/pdf/1506.05860v3.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"variational-gaussian-copula-inference","repo_url":"https://github.com/shaobohan/VariationalGaussianCopula","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":{"status":"ok","spdx":"MIT"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":"https://app.syntology.ai/?focus=1506.05860","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}