The use of a single continuous regularization parameter for the generalized eigensystem method

R. D. Throne, L. G. Olson, John Robert Windle

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We have previously proposed the generalized eigensystem (GES) method as an alternative to Tikhonov regularization for various types of inverse problems. In those studies, we truncated the number of modes used in GES to stabilize the inversion. However, often there is a significant decrease in performance when the number of modes to use is estimated using only the available data. We have modified our formulation of GES to use the same expansion vectors as before, but now the stabilization is performed by the inclusion of a single continuous regularization parameter. In this study we compare the performance of GES using the optimal modal truncation and two different methods for choosing the single continuous regularization parameter.

Original languageEnglish (US)
Title of host publicationComputers in Cardiology
Pages517-520
Number of pages4
StatePublished - 2001
EventComputer in Cardiology 2001 - Rotterdam, Netherlands
Duration: Sep 23 2001Sep 26 2001

Other

OtherComputer in Cardiology 2001
CountryNetherlands
CityRotterdam
Period9/23/019/26/01

Fingerprint

Inverse problems
Stabilization

ASJC Scopus subject areas

  • Software
  • Cardiology and Cardiovascular Medicine

Cite this

Throne, R. D., Olson, L. G., & Windle, J. R. (2001). The use of a single continuous regularization parameter for the generalized eigensystem method. In Computers in Cardiology (pp. 517-520)

The use of a single continuous regularization parameter for the generalized eigensystem method. / Throne, R. D.; Olson, L. G.; Windle, John Robert.

Computers in Cardiology. 2001. p. 517-520.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Throne, RD, Olson, LG & Windle, JR 2001, The use of a single continuous regularization parameter for the generalized eigensystem method. in Computers in Cardiology. pp. 517-520, Computer in Cardiology 2001, Rotterdam, Netherlands, 9/23/01.
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