Lab 14: Self Organising Maps: build a SOM in java.

1. Open up a new project and make a new class.
2. Allocate an array of two-dimensional nodes. Initialize them pseudo-randomly.
3. Similarly, create an array of two-dimensional inputs.
4. Take the first input and see what node is nearest to it.
5. Move the node toward the data.
6. Put this in a loop to repeat for all the inputs.
7. Print out the modified nodes.
8. Repeat the process with the learning rate going to zero slowly.
9. Add a Mexican Hat function so that nodes near the best matching node also move toward the data, and those just a bit further away are pushed away.
10. Start with actual random nodes.
11. Try input data in a line, or some other shape.
12. Plot the results (manually if necessary).
13. Try 3D nodes and data.