{"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/practical-inexact-proximal-quasi-newton","title":"Practical Inexact Proximal Quasi-Newton Method with Global Complexity Analysis","arxiv_id":"1311.6547","date":"2013-11-26","proceeding":null,"authors":["Katya Scheinberg","Xiaocheng Tang"],"abstract":"Recently several methods were proposed for sparse optimization which make\ncareful use of second-order information [10, 28, 16, 3] to improve local\nconvergence rates. These methods construct a composite quadratic approximation\nusing Hessian information, optimize this approximation using a first-order\nmethod, such as coordinate descent and employ a line search to ensure\nsufficient descent. Here we propose a general framework, which includes\nslightly modified versions of existing algorithms and also a new algorithm,\nwhich uses limited memory BFGS Hessian approximations, and provide a novel\nglobal convergence rate analysis, which covers methods that solve subproblems\nvia coordinate descent.","url_abs":"http://arxiv.org/abs/1311.6547v4","url_pdf":"http://arxiv.org/pdf/1311.6547v4.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":"practical-inexact-proximal-quasi-newton","repo_url":"https://github.com/LHAC/LHAC","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":"https://syntology.ai/paper/1311.6547","atlas_url":"https://app.syntology.ai/?focus=1311.6547","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}