{"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/efficient-em-training-of-gaussian-mixtures","title":"Efficient EM Training of Gaussian Mixtures with Missing Data","arxiv_id":"1209.0521","date":"2012-09-04","proceeding":null,"authors":["Olivier Delalleau","Aaron Courville","Yoshua Bengio"],"abstract":"In data-mining applications, we are frequently faced with a large fraction of\nmissing entries in the data matrix, which is problematic for most discriminant\nmachine learning algorithms. A solution that we explore in this paper is the\nuse of a generative model (a mixture of Gaussians) to compute the conditional\nexpectation of the missing variables given the observed variables. Since\ntraining a Gaussian mixture with many different patterns of missing values can\nbe computationally very expensive, we introduce a spanning-tree based algorithm\nthat significantly speeds up training in these conditions. We also observe that\ngood results can be obtained by using the generative model to fill-in the\nmissing values for a separate discriminant learning algorithm.","url_abs":"http://arxiv.org/abs/1209.0521v2","url_pdf":"http://arxiv.org/pdf/1209.0521v2.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":"efficient-em-training-of-gaussian-mixtures","repo_url":"https://github.com/xmartin46/missing-value-treatment-algorithms","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}}],"tasks":[{"task_slug":"missing-values","task_name":"Missing Values"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1209.0521","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}