{"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/online-learning-sensing-matrix-and","title":"Online Learning Sensing Matrix and Sparsifying Dictionary Simultaneously for Compressive Sensing","arxiv_id":"1701.01000","date":"2017-01-04","proceeding":null,"authors":["Tao Hong","Zhihui Zhu"],"abstract":"This paper considers the problem of simultaneously learning the Sensing\nMatrix and Sparsifying Dictionary (SMSD) on a large training dataset. To\naddress the formulated joint learning problem, we propose an online algorithm\nthat consists of a closed-form solution for optimizing the sensing matrix with\na fixed sparsifying dictionary and a stochastic method for learning the\nsparsifying dictionary on a large dataset when the sensing matrix is given.\nBenefiting from training on a large dataset, the obtained compressive sensing\n(CS) system by the proposed algorithm yields a much better performance in terms\nof signal recovery accuracy than the existing ones. The simulation results on\nnatural images demonstrate the effectiveness of the suggested online algorithm\ncompared with the existing methods.","url_abs":"http://arxiv.org/abs/1701.01000v4","url_pdf":"http://arxiv.org/pdf/1701.01000v4.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":"online-learning-sensing-matrix-and","repo_url":"https://github.com/happyhongt/Online-Learning-SMSD-Large-Dataset","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"compressive-sensing","task_name":"Compressive 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}