TY - GEN
T1 - Kernel feature spaces and nonlinear blind source separation
AU - Harmeling, Stefan
AU - Ziehe, Andreas
AU - Kawanabe, Motoaki
AU - Müller, Klaus Robert
PY - 2002
Y1 - 2002
N2 - In kernel based learning the data is mapped to a kernel feature space of a dimension that corresponds to the number of training data points. In practice, however, the data forms a smaller submanifold in feature space, a fact that has been used e.g. by reduced set techniques for SVMs. We propose a new mathematical construction that permits to adapt to the intrinsic dimension and to find an orthonormal basis of this submanifold. In doing so, computations get much simpler and more important our theoretical framework allows to derive elegant kernelized blind source separation (BSS) algorithms for arbitrary invertible nonlinear mixings. Experiments demonstrate the good performance and high computational efficiency of our kTDSEP algorithm for the problem of nonlinear BSS.
AB - In kernel based learning the data is mapped to a kernel feature space of a dimension that corresponds to the number of training data points. In practice, however, the data forms a smaller submanifold in feature space, a fact that has been used e.g. by reduced set techniques for SVMs. We propose a new mathematical construction that permits to adapt to the intrinsic dimension and to find an orthonormal basis of this submanifold. In doing so, computations get much simpler and more important our theoretical framework allows to derive elegant kernelized blind source separation (BSS) algorithms for arbitrary invertible nonlinear mixings. Experiments demonstrate the good performance and high computational efficiency of our kTDSEP algorithm for the problem of nonlinear BSS.
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M3 - Conference contribution
AN - SCOPUS:84898966891
SN - 0262042088
SN - 9780262042086
T3 - Advances in Neural Information Processing Systems
BT - Advances in Neural Information Processing Systems 14 - Proceedings of the 2001 Conference, NIPS 2001
PB - Neural information processing systems foundation
T2 - 15th Annual Neural Information Processing Systems Conference, NIPS 2001
Y2 - 3 December 2001 through 8 December 2001
ER -