Whitening

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(Created page with "== Preprocessing for Whitening We have used PCA to reduce the dimension of the data. There is a closely related preprocessing step called '''whitening''' (or, in some other lit...")
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== Preprocessing for Whitening
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== Introduction ==
We have used PCA to reduce the dimension of the data.  There is a closely related
We have used PCA to reduce the dimension of the data.  There is a closely related
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so that our learning algorithms sees a training input where (i) the features are less
so that our learning algorithms sees a training input where (i) the features are less
correlated with each other, and (ii) the features all have the same variance.
correlated with each other, and (ii) the features all have the same variance.
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== 2D example ==
We will first describe whitening using our previous 2D example.  We will then  
We will first describe whitening using our previous 2D example.  We will then  
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\smallskip
\smallskip
\noindent
\noindent
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'''ZCA (Zero Component Analysis) whitening.'''
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== ZCE Whitening ==
Finally, it turns out that this way of getting the  
Finally, it turns out that this way of getting the  
data to have covariance identity <math>\textstyle I</math> isn't unique.  
data to have covariance identity <math>\textstyle I</math> isn't unique.  

Revision as of 11:07, 4 April 2011

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