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

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Self Organizing Maps Principal Components, Curves and Surfaces Non-negative Matrix Factorization The simplest version of the SOM The simplest version of the SOM Other version of the SOM Example Reconstruction Error two dimensional grid of K prototypes mj ∈ R p . Parametrize each of the K prototypes to an integer coordinate pair ℓj ∈ Q1 × Q2. Prototypes are like ”buttons”. Map the observations xi down onto a two-dimensional grid. Find the closest prototype mj to xi. (Euclidean distance) Karoline Geissler Self-Organizing Maps, Principal Components and Non-negative M
Self Organizing Maps Principal Components, Curves and Surfaces Non-negative Matrix Factorization We move mk toward xi via The simplest version of the SOM Other version of the SOM Example Reconstruction Error mk ←− mk + α(xi − mk) (1) Then for all neighbors of mk. (ℓj − ℓk < r). α ... the learning rate r... the distance threshold Karoline Geissler Self-Organizing Maps, Principal Components and Non-negative M
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