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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 />

The method can be viewed as a version of K-means clustering.<br />

The prototypes lie in a one- or two- dimensional manifold.<br />

The resulting manifold is referred to as a constrained<br />

topological map.<br />

The original high dimensional observation can be mapped<br />

down onto a two-dimensional coordinate system.<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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