Near-Optimal Parameters for Tikhonov and Other Regularization Methods
| dc.contributor.author | O'Leary, Dianne P. | en_US |
| dc.date.accessioned | 2004-05-31T22:56:36Z | |
| dc.date.available | 2004-05-31T22:56:36Z | |
| dc.date.created | 1999-03 | en_US |
| dc.date.issued | 1999-04-06 | en_US |
| dc.description.abstract | Choosing the regularization parameter for an ill-posed problem is an art based on good heuristics and prior knowledge of the noise in the observations. In this work we propose choosing the parameter, without a priori information, by approximately minimizing the distance between the true solution to the discrete problem and the family of regularized solutions. We demonstrate the usefulness of this approach for Tikhonov regularization and for an alternate family of solutions. Further, we prove convergence of the regularization parameter to zero as the standard deviation of the noise goes to zero. We also prove that the alternate family produces solutions closer to the true solution than the Tikhonov family when the noise is small enough. Also cross-referenced as UMIACS-TR-99-17 | en_US |
| dc.format.extent | 204417 bytes | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.uri | http://hdl.handle.net/1903/1001 | |
| dc.language.iso | en_US | |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_US |
| dc.relation.isAvailableAt | University of Maryland (College Park, Md.) | en_US |
| dc.relation.isAvailableAt | Tech Reports in Computer Science and Engineering | en_US |
| dc.relation.isAvailableAt | UMIACS Technical Reports | en_US |
| dc.relation.ispartofseries | UM Computer Science Department; CS-TR-4004 | en_US |
| dc.relation.ispartofseries | UMIACS; UMIACS-TR-99-17 | en_US |
| dc.title | Near-Optimal Parameters for Tikhonov and Other Regularization Methods | en_US |
| dc.type | Technical Report | en_US |