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. (a) Draw a graph of the data points X labeled according to...

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.

(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. What is the final vector of weight factors?