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Neural Network, Basic Computer Science

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The following data set describes whether a given coordinate is on land owned by XX government.

(x,y) | Class
------------------------
(1.5,6) | owned
(2,5) | owned
(3,4) | owned
(3.5,8) | owned
(6.5,6.5) | owned
(6.5,8) | owned
(7.5,6) | owned
(8,4) | owned
(10.5,5) | owned
(10.5,9) | owned

a)
Construct a neural net with only one perceptron node that perfectly differentiates between owned and unowned land. Describe how you find the weights in the neural net. You are not supposed to give a general algorithm for training neural nets.

b)
When looking at a new map, it was found that also the points (5,9) and (5,10) are unowned. Construct a new neural net that gives perfect classification for both the data above and these new points.

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