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http://dx.doi.org/10.18419/opus-9219
Autor(en): | Qian, Kun |
Titel: | On the determination of proper regularization parameter : α-weighted BLE via A-optimal design and its comparison with the results derived by numerical methods and ridge regression |
Erscheinungsdatum: | 2017 |
Dokumentart: | Abschlussarbeit (Bachelor) |
Seiten: | XI, 47 |
URI: | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-92369 http://elib.uni-stuttgart.de/handle/11682/9236 http://dx.doi.org/10.18419/opus-9219 |
Zusammenfassung: | In this thesis, several numerical regularization methods and the ridge regression, which can help improve improper conditions and solve ill-posed problems, are reviewed. The determination of the optimal regularization parameter via A-optimal design, the optimal uniform Tikhonov-Phillips regularization (α-weighted biased linear estimation), which minimizes the trace of the mean square error matrix MSE(x ̂), is also introduced. Moreover, the comparison of the results derived by A-optimal design and results derived by numerical heuristic methods, such as L-curve, Generalized Cross Validation and the method of dichotomy is demonstrated. According to the comparison, the A-optimal design regularization parameter has been shown to have minimum trace of MSE(x ̂) and its determination has better efficiency. |
Enthalten in den Sammlungen: | 06 Fakultät Luft- und Raumfahrttechnik und Geodäsie |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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BA_fertig_QianKun_25072017.pdf | 1,39 MB | Adobe PDF | Öffnen/Anzeigen |
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