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collet@lsiit.u-strasbg.fr<br />

iAstro Workshop - Nice Observatory<br />

16/17 October 2003<br />

Dimensionality reduction<br />

PCA (Karhunen-Loève expansion) and so on…<br />

* rotates the original feature space before projecting the feature<br />

vectors onto a limited number of axe<br />

* Energy based criterion (variance)<br />

* PCA seeks to minimize the mean squared reconstruction error<br />

* Maximization of the projection variance<br />

* Probabilistic PCA (PPCA, 1999) :<br />

gaussian a priori

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