A High‐Dimensional Classification Rule Using Sample Covariance Matrix Equipped With Adjusted Estimated Eigenvalues
| dc.contributor.author | Baek, Seungchul | |
| dc.contributor.author | Park, Hoyoung | |
| dc.contributor.author | Park, Junyong | |
| dc.date.accessioned | 2021-03-10T18:27:31Z | |
| dc.date.available | 2021-03-10T18:27:31Z | |
| dc.date.issued | 2021-02-03 | |
| dc.description.abstract | High‐dimensional classification have had challenges mainly due to the singularity issue of the sample covariance matrix. In this work, we propose a different approach to get a more reliable sample covariance matrix by adjusting the estimated eigenvalues. This procedure also brings us a non‐singular matrix as a by‐product. We improve the optimization procedure to obtain a linear classifier by incorporating the adjusted sample covariance matrix and a shrinkage mean vector into the original optimization problem. We have showed that our proposed binary classification rule is better than some other rules in terms of misclassification rule through most of various synthetic data and real data sets. | en_US |
| dc.description.sponsorship | We thank the Associate Editor and two anonymous reviewers for helpful comments and suggestions. This work was supported by the New Faculty Startup Fund from Seoul National University and by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No.2020R1A2C1A01100526) | en_US |
| dc.description.uri | https://onlinelibrary.wiley.com/doi/epdf/10.1002/sta4.358 | en_US |
| dc.format.extent | 14 pages | en_US |
| dc.genre | journal articles postprints | en_US |
| dc.identifier | doi:10.13016/m23ffh-tv5c | |
| dc.identifier.citation | Baek, Seungchul; Park, Hoyoung; Park, Junyong; A High‐Dimensional Classification Rule Using Sample Covariance Matrix Equipped With Adjusted Estimated Eigenvalues; Stat (2021); https://onlinelibrary.wiley.com/doi/epdf/10.1002/sta4.358 | en_US |
| dc.identifier.uri | https://doi.org/10.1002/sta4.358 | |
| dc.identifier.uri | http://hdl.handle.net/11603/21146 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Wiley Online Library | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.rights | This is the peer reviewed version of the following article: Baek, Seungchul; Park, Hoyoung; Park, Junyong; A High‐Dimensional Classification Rule Using Sample Covariance Matrix Equipped With Adjusted Estimated Eigenvalues; Stat (2021); https://onlinelibrary.wiley.com/doi/epdf/10.1002/sta4.358, which has been published in final form at https://doi.org/10.1002/sta4.358. | |
| dc.rights | Access to this item will begin on 2022-02-03 | |
| dc.title | A High‐Dimensional Classification Rule Using Sample Covariance Matrix Equipped With Adjusted Estimated Eigenvalues | en_US |
| dc.type | Text | en_US |