{"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/compressed-sensing-with-side-information","title":"Compressed Sensing With Side Information: Geometrical Interpretation and Performance Bounds","arxiv_id":"1410.2724","date":"2014-10-10","proceeding":null,"authors":["João F. C. Mota","Nikos Deligiannis","Miguel R. D. Rodrigues"],"abstract":"We address the problem of Compressed Sensing (CS) with side information.\nNamely, when reconstructing a target CS signal, we assume access to a similar\nsignal. This additional knowledge, the side information, is integrated into CS\nvia L1-L1 and L1-L2 minimization. We then provide lower bounds on the number of\nmeasurements that these problems require for successful reconstruction of the\ntarget signal. If the side information has good quality, the number of\nmeasurements is significantly reduced via L1-L1 minimization, but not so much\nvia L1-L2 minimization. We provide geometrical interpretations and experimental\nresults illustrating our findings.","url_abs":"http://arxiv.org/abs/1410.2724v1","url_pdf":"http://arxiv.org/pdf/1410.2724v1.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":"compressed-sensing-with-side-information","repo_url":"https://github.com/joaofcmota/cs-with-prior-information","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"compressed-sensing","task_name":"compressed sensing"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}