Question: 8. Consider a classification problem defined with the set of 3-D samples X, where two dimensions are inputs and the third one is the output.

8. Consider a classification problem defined with the set of 3-D samples X, where two dimensions are inputs and the third one is the output.

X:

I1

I2

O

-1

1

1

0

0

1

1

-1

1

1

0

0

0

1

0

a.) Draw a graph of the data points X labeled according to their classes. Is the problem of classification solvable with a single-neuron perceptron? Explain the answer.

b.) Draw a diagram of the perceptron you would use to solve the problem. Define the initial values for all network parameters.

c.) Apply single iteration of the delta-learning algorithm (Widrow-Hoff). What is the final vector of weight factors?

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