Self-Organizing Maps Stationary States, Metastability and Convergence Rate

h(|x|)0.600.400.200.00

-10-50510x

Width of the Neighborhood Function

2345Configuration50

10000

Scaled Time4030

(a)1000100

(b)20100110100100010000101

110100100010000Width of the Neighborhood Function

20

Scaled Time10

0

110100100010000

Neighborhood Function Width

Time in Initial Configuration1500

1000

σ= 10,000σ= 1,000σ= 500σ= 100500

0

10-40.0010.010.11Initial Map Width

Populations of Selected Configurations100%80%60%40%20%0%100%(a)(b)

020040060080010000100200300

(c)80%60%40%20%0%0400800120016002000040080012001600(d)2000Number of Time Steps

Ordered

Class B

Class C

Class D

Class E

Class F

Class G

Other

100%

Populations80%60%40%20%0%

(a)(b)

020040060080004080120160200

Number of Time Steps

Standard Deviation ofOrdering Time100001000100101

10100

100010000

Width of the Neighborhood Function