Recently, I discovered the dimension of the SOM network do turn out to be the number of data clusters for data clustering or image segments when used for image segmentation.

For example, if the dimension of the SOM is 7 x 7, then the number of clusters(segments) would be 49, if the dimension of 2 x 1, then the number of clusters(segments) would be 2.

1. Therefore, are there techniques for determining the dimension?

2. What should be the basis/yard stick for picking the dimension?

3. If the knowledge of the data is the basis/yard stick for picking the dimension, is that not a version of K-means??

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