
The Kohonen self-organizing map 353
8.6 The Kohonen self-organizing map
The Kohonen self-organizing map (SOM), a simple example of which is sketched
in Figure 8.4 , belongs to a class of neural ne tworks which are trained by com-
petitive learning (Hertz et al., 1991; Ko honen, 198 9). It is very useful as a
visualization tool for exploring the class structure of multispectral imagery.
The layer of neurons shown in the figure can have any geometry, but usually
a one-, two-, or three-dimensional array is chosen. The input signal is the
observation vector g = (g
1
, g
2
. . . g
N
)
⊤
, where, in the figure, N = 2. Each
input to a neuron is associated with a synaptic ...