Multivariate Gaussianization for Data Processing

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Intro Iterative Gaussianization Experiments ConclusionsPropertiesProperty 1: The iterative Gaussianization transform is invertibleGiven the Gaussianization transform:G : x (k+1) = R (k) Ψ (k) (x (k) )by simple manipulation, the inversion transform is:G −1 : x (k) = Ψ −1(k) (R⊤ (k)x (k+1) ).
Intro Iterative Gaussianization Experiments ConclusionsPropertiesProperty 1: The iterative Gaussianization transform is invertibleGiven the Gaussianization transform:G : x (k+1) = R (k) Ψ (k) (x (k) )by simple manipulation, the inversion transform is:G −1 : x (k) = Ψ −1(k) (R⊤ (k)x (k+1) ).Remark 1: valid for any rotation transformInvertibility is possible for any rotation matrix R (k) .
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Multivariate Gaussianization for Data Processing

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