Fisher discriminant analysis with kernels
@article{Mika1999FisherDA, title={Fisher discriminant analysis with kernels}, author={S. Mika and Gunnar R{\"a}tsch and J. Weston and B. Scholkopf and K. R. Mullers}, journal={Neural Networks for Signal Processing IX: Proceedings of the 1999 IEEE Signal Processing Society Workshop (Cat. No.98TH8468)}, year={1999}, pages={41-48} }
A non-linear classification technique based on Fisher's discriminant is proposed. The main ingredient is the kernel trick which allows the efficient computation of Fisher discriminant in feature space. The linear classification in feature space corresponds to a (powerful) non-linear decision function in input space. Large scale simulations demonstrate the competitiveness of our approach.
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References
SHOWING 1-10 OF 23 REFERENCES
Nonlinear Component Analysis as a Kernel Eigenvalue Problem
- Mathematics, Computer Science
- Neural Computation
- 1998
- 7,396
- PDF
Input space versus feature space in kernel-based methods
- Mathematics, Medicine
- IEEE Trans. Neural Networks
- 1999
- 1,190
- PDF