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

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