- Tytuł:
- Misfit landforms imposed by ill-conditioned inverse parametric problems
- Autorzy:
-
Łoś, M.
Smołka, M.
Schaefer, R.
Sawicki, J. - Powiązania:
- https://bibliotekanauki.pl/articles/305739.pdf
- Data publikacji:
- 2018
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
taxonomy of ill-conditioned problems
ill-posed global optimization problems
fitness landscapes - Opis:
- In this paper, we put forward a new topological taxonomy that allows us to distinguish and separate multiple solutions to ill-conditioned parametric inverse problems appearing in engineering, geophysics, medicine, etc. This taxonomy distinguishes the areas of insensitivity to parameters called the landforms of the misfit landscape, be it around minima (lowlands), maxima (uplands), or stationary points (shelves). We have proven their important separability and completeness conditions. In particular, lowlands, uplands, and shelves are pairwise disjoint, and there are no other subsets of the positive measure in the admissible domain on which the misfit function takes a constant value. The topological taxonomy is related to the second, “local” one, which characterizes the types of ill-conditioning of the particular solutions. We hope that the proposed results will be helpful for a better and more precise formulation of ill-conditioned inverse problems and for selecting and profiling complex optimization strategies used in solving these problems.
- Źródło:
-
Computer Science; 2018, 19 (2); 157-178
1508-2806
2300-7036 - Pojawia się w:
- Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł