Abstract
In this paper, we introduce two efficient methods for second and higher-order correlation, or linear and nonlinear dependence, analysis of several multidimensional variables. We show that both the second and higher-order correlation analysis can be cast into a specific joint diagonalization problem. Compared with existing multiset canonical correlation analysis (MCCA) and independent vector analysis (IVA) algorithms, desired features of the new methods are that they can exploit the nonwhiteness of observations, they do not assume a specific density model, and they use simultaneous separation and thus are free of error accumulation arising in deflationary separation. Simulation results are presented to show the performance gain of the new methods over MCCA and IVA approaches.
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Li, XL., Anderson, M., Adalı, T. (2010). Second and Higher-Order Correlation Analysis of Multiple Multidimensional Variables by Joint Diagonalization. In: Vigneron, V., Zarzoso, V., Moreau, E., Gribonval, R., Vincent, E. (eds) Latent Variable Analysis and Signal Separation. LVA/ICA 2010. Lecture Notes in Computer Science, vol 6365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15995-4_25
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DOI: https://doi.org/10.1007/978-3-642-15995-4_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15994-7
Online ISBN: 978-3-642-15995-4
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