Consider a 5 by 5 SOM with the weights provided below. Given that the winning neuron is at position (2,2), with a learning rate of 1, a sigma value of 2, and using a Gaussian neighbourhood function, what is the value of h for the instance 4,4? Round your answer to three decimals.

1 (244,179,201) (186,42,57) (252,73,127) (63,137,134) (21,238,33)

The table below illustrates a self-organising map of size 4 by 4 with 1 weight per processing unit. Given an instance with a value of 2, what column contains the best matching unit?

     1      2     3      4

1   1.2   1.4   2.4   3.0

2   1.4   2.2   2.6   3.2

3   1.8   2.7   2.6   3.4

4   2.0   2.8   2.8   3.5

Consider a data set that consists of eight instances. The table below shows the Euclidean distance between instances. Which instance should be selected as w11 when using hypercube initialisation?

      1      2       3       4       5       6       7       8      

1    0      

2   1,25   0     

3    2        1,25   0

4    1,16     0,01   1,16   0

5    1,303   0,553   0,203  0,463    0

6    1         1,25      3        1,36       2,3025      0

7    0,423  1,023    2,423   1,063     1,725       0,123     0

8    0,75      0,5      0,75      0,51      0,503      0,75      0,523      0

True/False. When a conscience factor is used, objects might be “further” than they appear?

True/False. LVQ1 training is based on competitive learning?