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==Dimension Reduction==
==Dimension Reduction==
Goal: Reduce the dimension of a dataset.<br>
Goal: Reduce the dimension of a dataset.<br>
If each example <math>x \in \mathbb{R}^n</math>, we want to reduce each example to be in <math>\mathbb{R}^r<math> where <math>r < n</math>
If each example <math>x \in \mathbb{R}^n</math>, we want to reduce each example to be in <math>\mathbb{R}^r</math> where <math>r < n</math>
===PCA===
===PCA===
Principal Component Analysis<br>
Principal Component Analysis<br>