Using the Ellipsoid Method to Find Parameters of Lasso and Ridge Regressions [Articol]
| dc.contributor.author | Stetsyuk, Petro | en |
| dc.contributor.author | Khomiak, Olha | en |
| dc.date.accessioned | 2025-07-10T08:18:57Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | We consider the optimization problem for finding the parameters of a linear regression according to the criterion of the least moduli powered to p (1 ≤ p ≤ 2) with the regularization of parameters according to the criterion of the least moduli powered to q (1 ≤ q ≤ 2). Its partial cases are lasso regression and ridge regression, as well as least squares method and the least moduli method. An algorithm for solving the problem is developed based on the well-known ellipsoid method. | en |
| dc.description.sponsorship | The paper is supported by Volkswagen Foundation grant № 97775, National Research Foundation of Ukraine grant № 2021.01/0136 and DTT TS KNU NASU grant № 2M-2024. | |
| dc.identifier.citation | STETSYUK, Petro and Olha KHOMIAK. Using the Ellipsoid Method to Find Parameters of Lasso and Ridge Regressions. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 472-475. ISBN 978-9975-68-515-3. | en |
| dc.identifier.isbn | 978-9975-68-515-3 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/18294 | |
| dc.language.iso | en | |
| dc.subject | Lasso regression | en |
| dc.subject | ridge regression | en |
| dc.subject | linear regres- sion | en |
| dc.subject | least moduli criterion | en |
| dc.subject | convex function | en |
| dc.subject | ellipsoid method | en |
| dc.title | Using the Ellipsoid Method to Find Parameters of Lasso and Ridge Regressions [Articol] | en |
| dc.type | Article |