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Self-Organizing Maps, Principal Components and Non-negative ...

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<strong>Self</strong> <strong>Organizing</strong> <strong>Maps</strong><br />

<strong>Principal</strong> <strong>Components</strong>, Curves <strong>and</strong> Surfaces<br />

<strong>Non</strong>-<strong>negative</strong> Matrix Factorization<br />

The simplest version of the SOM<br />

Other version of the SOM<br />

Example<br />

Reconstruction Error<br />

Generate 90 data points in three dimensions (near the surface<br />

of a half sphere of radius 1)<br />

5 × 5 grid of prototypes<br />

Karoline Geissler <strong>Self</strong>-<strong>Organizing</strong> <strong>Maps</strong>, <strong>Principal</strong> <strong>Components</strong> <strong>and</strong> <strong>Non</strong>-<strong>negative</strong> M

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