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Canonical Correlation a Tutorial

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Canonical Correlationa TutorialMagnus BorgaJanuary 12, 2001Contents1 About this tutorial12 Introduction23 Definition24 Calculating Canonical correlations35 Relating difference between CCA and ordinary Correlation analysis . . to other linear subspace Equalnoiseenergies .................... between a signal and the corrupted signal . . .6A Affinetransformations ....................... Principal component analysis .................... Partial least multivariate linear regression .................... 101 About this tutorialThis is a printable version of a Tutorial in HTML format. The Tutorial may bemodified at any time as will this version.

For Gaussian variables this means I (x; y)= 1 2 log Q i (1 2) = X i: (9) Kay [13] has shown that this relation plus a constant holds for all elliptically sym- ... and multivariate linear regression (MLR). The matrices are listed in table 1. 4. A B PCA C xx I PLS 0 C xy C yx 0 I I CCA 0 C xy C yx 0 xx yy MLR 0 C xy C yx 0 xx I Table 1: The ...

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