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Karhunen–Loève procedure for gappy data
Abstract
The problem of using the Karhunen–Loève transform with partial data is addressed. Given a set of empirical eigenfunctions, we show how to recover the modal coefficients for each gappy snapshot by a least-squares procedure. This method gives an unbiased estimate of the data that lie in the gaps and permits gaps to be filled in a reasonable manner. In addition, a scheme is advanced for finding empirical eigenfunctions from gappy data. It is shown numerically that this procedure obtains spectra and eigenfunctions that are close to those obtained from unmarred data.
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Turk, M., & Pentland, A. (1991) · Journal of Cognitive Neuroscience · doi:10.1162/jocn.1991.3.1.71 · Cited by 13,733
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Metadata
- Authors
- Everson, R., & Sirovich, L.
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 1995-08-01
- Volume
- 12
- Issue
- 8
- Pages
- 1657
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2120101088
- Cited by
- 906
- References
- 1
- FWCI
- 1.47
- Type
- journal article
- Language
- en
- Open access
- closed
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- Everson, R., & Sirovich, L. (1995). Karhunen–Loève procedure for gappy data. Journal of the Optical Society of America A. https://doi.org/10.1364/josaa.12.001657
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