Successive Projection Methods for the Solution of Overdetermined Nonlinear Systems

1996 ◽  
pp. 75-84 ◽  
Author(s):  
Maria A. Diniz-Ehrhardt ◽  
José Mario Martinez
Keyword(s):  
Nonlinear Systems ◽  
Projection Methods ◽  
Successive Projection

scholarly journals Projection Methods for Uniformly Convex Expandable Sets

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1108
Author(s):  
Stéphane Chrétien ◽  
Pascal Bondon
Keyword(s):  
Medical Image ◽  
Theoretical Study ◽  
Projection Methods ◽  
Signal Denoising ◽  
Projection Algorithms ◽  
General Projection ◽  
Medical Image Reconstruction ◽  
Magnetic Resonance Imaging Mri ◽  
Successive Projection ◽  
Constraint Sets

Many problems in medical image reconstruction and machine learning can be formulated as nonconvex set theoretic feasibility problems. Among efficient methods that can be put to work in practice, successive projection algorithms have received a lot of attention in the case of convex constraint sets. In the present work, we provide a theoretical study of a general projection method in the case where the constraint sets are nonconvex and satisfy some other structural properties. We apply our algorithm to image recovery in magnetic resonance imaging (MRI) and to a signal denoising in the spirit of Cadzow’s method.

Identification of Continuous-time Nonlinear Systems via Local Gaussian Process Models

2014 ◽  
Vol 134 (11) ◽  
pp. 1708-1715
Author(s):  
Tomohiro Hachino ◽  
Kazuhiro Matsushita ◽  
Hitoshi Takata ◽  
Seiji Fukushima ◽  
Yasutaka Igarashi
Keyword(s):  
Nonlinear Systems ◽  
Gaussian Process ◽  
Continuous Time ◽  
Process Models ◽  
Gaussian Process Models
Sign in / Sign up

Export Citation Format

Share Document