Oscillation regularization
Publication
, Journal Article
Gu, S; Zheng, Y; Tomasi, C
Published in: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
October 23, 2012
We measure the degree of oscillation of a sampled function f by the number of its local extrema. The greater this number, the more oscillatory and complex f becomes. In signal denoising, we want a restored function g that is simple and fits the data f well. We propose to model this by a global optimization, coined oscillation regularization, that reduces both the data fitting error and the number of local extrema of g: equation where err(f, g) measures the discrepancy between f and g and λ is a regularization parameter. To the best of our knowledge, the number of local extrema of g is a topological prior that is rarely exploited in the literature of regularization. © 2012 IEEE.
Duke Scholars
Published In
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
DOI
ISSN
1520-6149
Publication Date
October 23, 2012
Start / End Page
3837 / 3840
Citation
APA
Chicago
ICMJE
MLA
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Gu, S., Zheng, Y., & Tomasi, C. (2012). Oscillation regularization. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 3837–3840. https://doi.org/10.1109/ICASSP.2012.6288754
Gu, S., Y. Zheng, and C. Tomasi. “Oscillation regularization.” ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, October 23, 2012, 3837–40. https://doi.org/10.1109/ICASSP.2012.6288754.
Gu S, Zheng Y, Tomasi C. Oscillation regularization. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 2012 Oct 23;3837–40.
Gu, S., et al. “Oscillation regularization.” ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Oct. 2012, pp. 3837–40. Scopus, doi:10.1109/ICASSP.2012.6288754.
Gu S, Zheng Y, Tomasi C. Oscillation regularization. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 2012 Oct 23;3837–3840.
Published In
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
DOI
ISSN
1520-6149
Publication Date
October 23, 2012
Start / End Page
3837 / 3840