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Consider the following set of training examples. Each of x 1 , x 2 , and x 3 is a Boolean attribute with 1 representing
Consider the following set of training examples. Each of x1, x2, and x3 is a Boolean attribute with 1 representing true and 0 representing false.
Is the data linearly separable? If so, give a step-thresholded perceptron that perfectly classifies the data.
Otherwise, show using linear programming that the data is not linearly separable and design a two-layer network of perceptrons that perfectly classifies the data.
Class | x1 | x2 | x3 |
0 | 0 | 0 | 0 |
0 | 0 | 1 | 0 |
1 | 1 | 0 | 0 |
1 | 1 | 1 | 0 |
1 | 0 | 0 | 1 |
1 | 0 | 1 | 1 |
0 | 1 | 0 | 1 |
0 | 1 | 1 | 1 |
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