On 01/18/2012 11:49 PM, Andreas wrote:
> On 01/18/2012 11:45 PM, Gael Varoquaux wrote:
>    
>> On Wed, Jan 18, 2012 at 11:41:24PM +0100, Andreas wrote:
>>
>>      
>>>      As far as I can tell, FA is not implemented yet.
>>>
>>>        
>> Actually, I am not sure what FA means. For me ICA, PCA, or any
>> decomposition model is an FA. Joris, what do you have in mind in
>> particular?
>>
>>
>>      
> Factor analysis is a decomposition with a particular
> assumption about the noise.
>
> See Bishop page 583
>    
For a bit more detail:
The idea is that the data is a linear transform of some
underlying, lower dimensional data plus some diagonal Gaussian noise.
This is essential a slight generalization of probabilistic PCA,
which has the same model but the Gaussian noise is assumed to be isotropic.

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