Robust $$\ell _1$$ Approaches to Computing the Geometric Median and Principal and Independent Components |
| |
Authors: | Email author" target="_blank">Stephen?L?KeelingEmail author Karl?Kunisch |
| |
Affiliation: | 1.Institut für Mathematik und Wissenschaftliches Rechnen,Karl-Franzens-Universit?t Graz,Graz,Austria |
| |
Abstract: | Robust measures are introduced for methods to determine statistically uncorrelated or also statistically independent components spanning data measured in a way that does not permit direct separation of these underlying components. Because of the nonlinear nature of the proposed methods, iterative methods are presented for the optimization of merit functions, and local convergence of these methods is proved. Illustrative examples are presented to demonstrate the benefits of the robust approaches, including an application to the processing of dynamic medical imaging. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |