{"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/algebraic-equivalence-of-linear-structural","title":"Algebraic Equivalence of Linear Structural Equation Models","arxiv_id":"1807.03527","date":"2018-07-10","proceeding":null,"authors":["Thijs van Ommen","Joris M. Mooij"],"abstract":"Despite their popularity, many questions about the algebraic constraints\nimposed by linear structural equation models remain open problems. For causal\ndiscovery, two of these problems are especially important: the enumeration of\nthe constraints imposed by a model, and deciding whether two graphs define the\nsame statistical model. We show how the half-trek criterion can be used to make\nprogress in both of these problems. We apply our theoretical results to a\nsmall-scale model selection problem, and find that taking the additional\nalgebraic constraints into account may lead to significant improvements in\nmodel selection accuracy.","url_abs":"http://arxiv.org/abs/1807.03527v1","url_pdf":"http://arxiv.org/pdf/1807.03527v1.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":"algebraic-equivalence-of-linear-structural","repo_url":"https://github.com/caus-am/aelsem","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[{"task_slug":"causal-discovery","task_name":"Causal Discovery"},{"task_slug":"model-selection","task_name":"Model Selection"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}