{"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/low-rank-semidefinite-programming-for-the","title":"Low-rank semidefinite programming for the MAX2SAT problem","arxiv_id":"1812.06362","date":"2018-12-15","proceeding":null,"authors":["Po-Wei Wang","J. Zico Kolter"],"abstract":"This paper proposes a new algorithm for solving MAX2SAT problems based on\ncombining search methods with semidefinite programming approaches. Semidefinite\nprogramming techniques are well-known as a theoretical tool for approximating\nmaximum satisfiability problems, but their application has traditionally been\nvery limited by their speed and randomized nature. Our approach overcomes this\ndifficult by using a recent approach to low-rank semidefinite programming,\nspecialized to work in an incremental fashion suitable for use in an exact\nsearch algorithm. The method can be used both within complete or incomplete\nsolver, and we demonstrate on a variety of problems from recent competitions.\nOur experiments show that the approach is faster (sometimes by orders of\nmagnitude) than existing state-of-the-art complete and incomplete solvers,\nrepresenting a substantial advance in search methods specialized for MAX2SAT\nproblems.","url_abs":"http://arxiv.org/abs/1812.06362v1","url_pdf":"http://arxiv.org/pdf/1812.06362v1.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":"low-rank-semidefinite-programming-for-the","repo_url":"https://github.com/locuslab/mixsat","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}}],"tasks":[],"methods":[{"method_slug":"speed","method_name":"SPEED"}],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1812.06362","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}