{"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/generalization-bounds-for-learning-with","title":"Generalization Bounds for Learning with Linear, Polygonal, Quadratic and Conic Side Knowledge","arxiv_id":"1405.7764","date":"2014-05-30","proceeding":null,"authors":["Theja Tulabandhula","Cynthia Rudin"],"abstract":"In this paper, we consider a supervised learning setting where side knowledge\nis provided about the labels of unlabeled examples. The side knowledge has the\neffect of reducing the hypothesis space, leading to tighter generalization\nbounds, and thus possibly better generalization. We consider several types of\nside knowledge, the first leading to linear and polygonal constraints on the\nhypothesis space, the second leading to quadratic constraints, and the last\nleading to conic constraints. We show how different types of domain knowledge\ncan lead directly to these kinds of side knowledge. We prove bounds on\ncomplexity measures of the hypothesis space for quadratic and conic side\nknowledge, and show that these bounds are tight in a specific sense for the\nquadratic case.","url_abs":"http://arxiv.org/abs/1405.7764v3","url_pdf":"http://arxiv.org/pdf/1405.7764v3.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":"generalization-bounds-for-learning-with","repo_url":"https://github.com/thejat/supervised_learning_with_side_knowledge","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"generalization-bounds","task_name":"Generalization Bounds"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}