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  Constructing Descriptive and Discriminative Non-linear Features: Rayleigh Coefficients in Kernel Feature Spaces

Mika, S., Rätsch, G., Weston, J., Schölkopf, B., Smola, A., & Müller, K.-R. (2003). Constructing Descriptive and Discriminative Non-linear Features: Rayleigh Coefficients in Kernel Feature Spaces. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(5), 623-628. doi:10.1109/TPAMI.2003.1195996.

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 Creators:
Mika, S, Author
Rätsch, G1, Author           
Weston, J1, Author           
Schölkopf, B1, Author           
Smola, AJ, Author
Müller, K-R1, Author           
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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 Abstract: We incorporate prior knowledge to construct nonlinear algorithms for invariant feature extraction and discrimination. Employing a unified framework in terms of a nonlinearized variant of the Rayleigh coefficient, we propose nonlinear generalizations of Fisher‘s discriminant and oriented PCA using support vector kernel functions. Extensive simulations show the utility of our approach.

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 Dates: 2003-05
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: DOI: 10.1109/TPAMI.2003.1195996
BibTex Citekey: 1844
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Title: IEEE Transactions on Pattern Analysis and Machine Intelligence
Source Genre: Journal
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Pages: - Volume / Issue: 25 (5) Sequence Number: - Start / End Page: 623 - 628 Identifier: -