Mathematics in Independent Component Analysis
Mathematics in Independent Component Analysis
Mathematics in Independent Component Analysis
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Chapter 15. Neurocomput<strong>in</strong>g, 69:1485-1501, 2006 227<br />
[19] S. Mika, B. Schölkopf, A. Smola, K. Müller, M. Scholz, and G. Rätsch. Kernel<br />
PCA and denois<strong>in</strong>g <strong>in</strong> feature spaces. Adv. Neural Information Process<strong>in</strong>g<br />
Systems, NIPS11, 11, 1999.<br />
[20] V. Moskv<strong>in</strong>a and K. M. Schmidt. Approximate projectors <strong>in</strong> s<strong>in</strong>gular spectrum<br />
analysis. SIAM Journal Mat. Anal. Appl., 24(4):932–942, 2003.<br />
[21] A. Nordhoff, Ch. Tziatzios, J. A. V. Broek, M. Schott, H.-R. Kalbitzer,<br />
K. Becker, D. Schubert, and R. H. Schirme. Denaturation and reactivation of<br />
dimeric human glutathione reductase. Eur. J. Biochem, pages 273–282, 1997.<br />
[22] L. Parra and P. Sajda. Bl<strong>in</strong>d source separation vis generalized eigenvalue<br />
decomposition. Journal of Mach<strong>in</strong>e Learn<strong>in</strong>g Research, 4:1261–1269, 2003.<br />
[23] K. Pearson. On l<strong>in</strong>es and planes of closest fit to systems of po<strong>in</strong>ts <strong>in</strong> space.<br />
Philosophical Magaz<strong>in</strong>e, 2:559–572, 1901.<br />
[24] I. W. Sandberg and L. Xu. Uniform approximation of multidimensional myoptic<br />
maps. Transactions on Circuits and Systems, 44:477–485, 1997.<br />
[25] B. Schoelkopf, A. Smola, and K.-R. Mueller. Nonl<strong>in</strong>ear component analysis as<br />
a kernel eigenvalue problem. Neural Computation, 10:1299–1319, 1998.<br />
[26] K. Stadlthanner, E. W. Lang, A. M. Tomé, A. R. Teixeira, and C. G. Puntonet.<br />
Kernel-PCA denois<strong>in</strong>g of artifact-free prote<strong>in</strong> NMR spectra. Proc. IJCNN’2004,<br />
Budapest, Hungaria, 2004.<br />
[27] K. Stadlthanner, F. J. Theis, E. W. Lang, A. M. Tomé, W. Gronwald, and H.-R.<br />
Kalbitzer. A matrix pencil approach to the bl<strong>in</strong>d source separation of artifacts<br />
<strong>in</strong> 2D NMR spectra. Neural Information Process<strong>in</strong>g - Letters and Reviews,<br />
1:103–110, 2003.<br />
[28] K. Stadlthanner, F. Theis, E. W. Lang, A. M. Tomé, A. R. Teixeira,<br />
W. Gronwald, and H.-R. Kalbitzer. GEVD-MP. Neurocomput<strong>in</strong>g accepted,<br />
2005.<br />
[29] K. Stadlthanner, A. M. Tomé, F. J. Theis, W. Gronwald, H.-R. Kalbitzer, and<br />
E. W. Lang. Bl<strong>in</strong>d source separation of water artifacts <strong>in</strong> NMR spectra us<strong>in</strong>g a<br />
matrix pencil. In Fourth International Symposium On <strong>Independent</strong> <strong>Component</strong><br />
<strong>Analysis</strong> and Bl<strong>in</strong>d Source Separation, ICA’2003, pages 167–172, Nara, Japan,<br />
2003.<br />
[30] F. Takens. On the numerical determ<strong>in</strong>ation of the dimension of an attractor.<br />
Dynamical Systems and Turbulence, Annual Notes <strong>in</strong> <strong>Mathematics</strong>, 898:366–<br />
381, 1981.<br />
[31] F. J. Theis, A. Meyer-Bäse, and E. W. Lang. Second-order bl<strong>in</strong>d source<br />
separation based on multi-dimensional autocovariances. In Proc. ICA 2004,<br />
volume 3195 of Lecture Notes <strong>in</strong> Computer Science, pages 726–733, Granada,<br />
Spa<strong>in</strong>, 2004.<br />
[32] Ana Maria Tomé and Nuno Ferreira. On-l<strong>in</strong>e source separation of temporally<br />
correlated signals. In European Signal Process<strong>in</strong>g Conference, EUSIPCO2002,<br />
Toulouse, France, 2002.<br />
30