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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