Given input instance as (0.4, 0.5, 0.4), Please answer the following questions m

Question

Given input instance as (0.4, 0.5, 0.4), Please answer the following questions

modify weight for this node: (0.1, 0.9, 0.8). Assume its membership to the winner's node neighnorhood is 0.5. Again assume the learning rate is 0.3. You need to show the resulting vector for this node after learning.

(0.1,0.9,0.8) (0.9,0.1,0.5) (0.1,0.1,0.1) (0.9,0.2,0.8) (0.8.0.7.0.1) (0.1,0.8,0.9 (0.1.0.8.09) (0.7,0.1 0.9) (0.60.8.0.9) (0.1.0.2.0.1) (0.5.0.4.0 4) (o.2,0.7.0.9) (0-1.0.1,0.1) (0.6,0.9,0.1) (0.1,0.1,0.1) (0.8,0.7,0 8)

Explanation / Answer

Given learning rate is 0.3
So, now calculate Euclidean distance.. dj = E(xi - wi)^2
Given node is (0.1,0.9,0.8)

--> (0.3 - 0.1)^2 + (0.3 - 0.9)^2 ==> 0.04 + 0.36 ==> 0.37
--> (0.3 - 0.9)^2 + (0.3 - 0.8)^2 ==> 0.36 + 0.25 ==> 0.61
--> (0.3 - 0.8)^2 + (0.3 - 0.1)^2 ==> 0.25 + 0.04 ==> 0.29

The resultant vector node is: (0.37, 0.61, 0.29)

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