Title
Memetic approach for irremediable ill-conditioned parametric inverse problems*.
Abstract
The paper introduces a new taxonomy of ill-posed parametric inverse problems, formulated as global optimization ones. It systematizes irremediable problems, which appear quite often in the real life but cannot be solved using the regularization method. The paper also shows a new way of solving irremediable inverse problems by a complex memetic approach including: genetic computation with adaptive accuracy, random sample clustering and a sophisticated local approximation of misfit plateau regions. Finally, we use a benchmark function featuring cross-shaped plateau to discuss some factors that influence the quality of plateau shape approximation.
Year
DOI
Venue
2017
10.1016/j.procs.2017.05.007
Procedia Computer Science
Keywords
Field
DocType
ill-posed inverse problems,plateau shape approximation
Mathematical optimization,Global optimization,Shape approximation,Computer science,Parametric statistics,Regularization (mathematics),Inverse problem,Sampling (statistics),Cluster analysis,Computation
Conference
Volume
ISSN
Citations 
108
1877-0509
0
PageRank 
References 
Authors
0.34
6
4
Name
Order
Citations
PageRank
Marcin Los1184.56
Jakub Sawicki2203.68
Maciej Smołka310713.60
Robert Schaefer410110.99