Invariant feature extraction and classification in kernel spaces

Sebastian Mika; Gunnar Rätsch; Jason Weston; Bernhard Schölkopf; Alex Smola; Klaus Robert Müller

Invariant feature extraction and classification in kernel spaces

Sebastian Mika, Gunnar Rätsch, Jason Weston, Bernhard Schölkopf, Alex Smola, Klaus Robert Müller

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We incorporate prior knowledge to construct nonlinear algorithms for invariant feature extraction and discrimination. Employing a unified framework in terms of a nonlinear variant of the Rayleigh coefficient' we propose non-linear generalizations of Fisher's discriminant and oriented PCA using Support Vector kernel functions. Extensive simulations show the utility of our approach.

Original language	English
Title of host publication	Advances in Neural Information Processing Systems 12 - Proceedings of the 1999 Conference, NIPS 1999
Publisher	Neural information processing systems foundation
Pages	526-532
Number of pages	7
ISBN (Print)	0262194503, 9780262194501
Publication status	Published - 2000
Externally published	Yes
Event	13th Annual Neural Information Processing Systems Conference, NIPS 1999 - Denver, CO, United States Duration: 1999 Nov 29 → 1999 Dec 4

Publication series

Name	Advances in Neural Information Processing Systems
ISSN (Print)	1049-5258

Other

Other	13th Annual Neural Information Processing Systems Conference, NIPS 1999
Country/Territory	United States
City	Denver, CO
Period	99/11/29 → 99/12/4

ASJC Scopus subject areas

Computer Networks and Communications
Information Systems
Signal Processing

Cite this

Mika, S., Rätsch, G., Weston, J., Schölkopf, B., Smola, A., & Müller, K. R. (2000). Invariant feature extraction and classification in kernel spaces. In Advances in Neural Information Processing Systems 12 - Proceedings of the 1999 Conference, NIPS 1999 (pp. 526-532). (Advances in Neural Information Processing Systems). Neural information processing systems foundation.

Invariant feature extraction and classification in kernel spaces. / Mika, Sebastian; Rätsch, Gunnar; Weston, Jason et al.
Advances in Neural Information Processing Systems 12 - Proceedings of the 1999 Conference, NIPS 1999. Neural information processing systems foundation, 2000. p. 526-532 (Advances in Neural Information Processing Systems).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Mika, S, Rätsch, G, Weston, J, Schölkopf, B, Smola, A & Müller, KR 2000, Invariant feature extraction and classification in kernel spaces. in Advances in Neural Information Processing Systems 12 - Proceedings of the 1999 Conference, NIPS 1999. Advances in Neural Information Processing Systems, Neural information processing systems foundation, pp. 526-532, 13th Annual Neural Information Processing Systems Conference, NIPS 1999, Denver, CO, United States, 99/11/29.

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AU - Weston, Jason

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AU - Smola, Alex

AU - Müller, Klaus Robert

PY - 2000

Y1 - 2000

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M3 - Conference contribution

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T3 - Advances in Neural Information Processing Systems

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BT - Advances in Neural Information Processing Systems 12 - Proceedings of the 1999 Conference, NIPS 1999

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T2 - 13th Annual Neural Information Processing Systems Conference, NIPS 1999

Y2 - 29 November 1999 through 4 December 1999

ER -

Invariant feature extraction and classification in kernel spaces

Abstract

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ASJC Scopus subject areas

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