{"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/proximal-newton-type-methods-for-minimizing","title":"Proximal Newton-type methods for minimizing composite functions","arxiv_id":"1206.1623","date":"2012-06-07","proceeding":null,"authors":["Jason D. Lee","Yuekai Sun","Michael A. Saunders"],"abstract":"We generalize Newton-type methods for minimizing smooth functions to handle a\nsum of two convex functions: a smooth function and a nonsmooth function with a\nsimple proximal mapping. We show that the resulting proximal Newton-type\nmethods inherit the desirable convergence behavior of Newton-type methods for\nminimizing smooth functions, even when search directions are computed\ninexactly. Many popular methods tailored to problems arising in bioinformatics,\nsignal processing, and statistical learning are special cases of proximal\nNewton-type methods, and our analysis yields new convergence results for some\nof these methods.","url_abs":"http://arxiv.org/abs/1206.1623v13","url_pdf":"http://arxiv.org/pdf/1206.1623v13.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":"proximal-newton-type-methods-for-minimizing","repo_url":"https://github.com/yuekai/PNopt","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"type","task_name":"Vocal Bursts Type Prediction"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}