What is the shape of X
On Thu, Jul 31, 2014 at 4:14 PM, Deepak Pandian <[email protected]>
wrote:
> On Thu, Jul 31, 2014 at 7:31 PM, Olivier Grisel
> <[email protected]> wrote:
> > The sign of the components is not deterministic. The absolute values
> > should be the same.
>
> But the last component differs even in absolute values,
> Pca_components:
> [[-0.61098855 0.54326104 0.3089728 0.29598692 -0.01767037 0.25638981
> -0.24499776 -0.02891609 -0.10832649 0.09922362]
> [-0.04285247 0.58774877 -0.02102497 -0.18987243 -0.09547488 -0.37323125
> 0.62203739 0.03558049 0.0780125 -0.27114941]
> [ 0.3481033 0.32602361 -0.20594773 -0.26088651 -0.63592937 0.39839983
> -0.20642102 -0.23287936 -0.0447964 0.00887286]]
>
> SVD on X (matches pca since it follows the same steps)
> Below is V from svd of (X)
> [[-0.61098855 0.54326104 0.3089728 0.29598692 -0.01767037 0.25638981
> -0.24499776 -0.02891609 -0.10832649 0.09922362]
> [-0.04285247 0.58774877 -0.02102497 -0.18987243 -0.09547488 -0.37323125
> 0.62203739 0.03558049 0.0780125 -0.27114941]
> [ 0.3481033 0.32602361 -0.20594773 -0.26088651 -0.63592937 0.39839983
> -0.20642102 -0.23287936 -0.0447964 0.00887286]
>
>
> SVD on X.T:
>
> Below is U.T of SVD(X.T)
> [-0.61098855 0.54326104 0.3089728 0.29598692 -0.01767037 0.25638981
> -0.24499776 -0.02891609 -0.10832649 0.09922362]
> [-0.04285247 0.58774877 -0.02102497 -0.18987243 -0.09547488 -0.37323125
> 0.62203739 0.03558049 0.0780125 -0.27114941]
> [ 0.39253032 0.27426443 -0.09946156 -0.17669364 -0.55699776 0.60982874
> 0.0461356 -0.18837449 -0.04298647 0.08936917]
>
> You can see that the final component doesn't match in terms of absolute
> values.
>
>
> I am pasting the code I used for svd(X.T) to check if I am making some
> mistakes here.
> def svd_t(X):
> #x.shape = n_features,n_samples
> #every sample is a column
> mean= np.mean(X,axis=1)
> mean = mean[:,np.newaxis]
> X = X -mean
> u,s,v = np.linalg.svd(X,full_matrices=True)
> return u,s,v
>
>
> Thanks
> Deepak
>
> --
> With Regards,
> Deepak Pandian
> "Deconstructing world one piece at a time"
>
>
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