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1. |
A typical completed self-organized map. |
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A 60x60 map used to analyze 3-d data |
2a. |
The arrangement of nodes in a triangular map. |
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2b. |
The arrangement of nodes in a square map. |
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2c |
The arrangement of nodes in a hexagonal map. |
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3 |
Node weights in a square map. |
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4. |
Stages in the evolution of a typical self-organized map. Cycle 0. |
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Notice the complete absence of structure - all nodes are starting with random weights. |
5. |
Cycle 11. |
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The highlighted regions show
where the first few "winning nodes" have been found. (There are more than
eleven highlighted regions, since in each cycle more than a single
data point is fed onto the map.) |
6. |
Cycle 202. | (41k) |
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Winning nodes have been found across the map, so all node weights have been
affected, but there is little sign yet of order developing.
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7. |
Cycle 4403. |
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Faint signs of order are starting to appear; in particular, two
dark regions near the centre of the map are becoming evident. |
8. |
Cycle 5976. |
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9. |
Cycle 8137. |
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Development of the different regions is now becoming pronounced.
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10. |
Cycle 9440. |
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11. |
Cycle 11110. |
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12. |
Cycle 13050. |
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13. |
Cycle 20842. |
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The map is now essentially completely converged. |
14. |
A self-organizing map tackling the square grid problem. Cycle 3. |
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| Node weights set at random initially. Since the nodes are plotted at a
position determined by their weights, no order is yet detectable. |
15. |
Cycle 109. |
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| Some order is already apparent after a hundred cycles, but the network is
disorganized and the nodes very unevenly spaced. |
16. |
Cycle 191. |
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Order is growing - the nodes are much more evenly spaced than in the
previous figure, although the structure is still irregular. |
17. |
Cycle 420. |
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| The final form of the map is becoming clear.
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18. |
Cycle 1400 |
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| The map is now close to convergence.
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