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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://elib.uni-stuttgart.de/handle/11682/9236
http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-92369
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

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