{"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/sparse-quadratic-classification-rules-via","title":"Sparse quadratic classification rules via linear dimension reduction","arxiv_id":"1711.04817","date":"2017-11-13","proceeding":null,"authors":["Irina Gaynanova","Tianying Wang"],"abstract":"We consider the problem of high-dimensional classification between the two\ngroups with unequal covariance matrices. Rather than estimating the full\nquadratic discriminant rule, we propose to perform simultaneous variable\nselection and linear dimension reduction on original data, with the subsequent\napplication of quadratic discriminant analysis on the reduced space. In\ncontrast to quadratic discriminant analysis, the proposed framework doesn't\nrequire estimation of precision matrices and scales linearly with the number of\nmeasurements, making it especially attractive for the use on high-dimensional\ndatasets. We support the methodology with theoretical guarantees on variable\nselection consistency, and empirical comparison with competing approaches. We\napply the method to gene expression data of breast cancer patients, and confirm\nthe crucial importance of ESR1 gene in differentiating estrogen receptor\nstatus.","url_abs":"http://arxiv.org/abs/1711.04817v2","url_pdf":"http://arxiv.org/pdf/1711.04817v2.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":"sparse-quadratic-classification-rules-via","repo_url":"https://github.com/irinagain/DAP","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"classification-1","task_name":"Classification"},{"task_slug":"dimensionality-reduction","task_name":"Dimensionality Reduction"},{"task_slug":"classification","task_name":"General Classification"},{"task_slug":"variable-selection","task_name":"Variable Selection"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}