Question

Consider the more difficult classification problem shown in the chart below

Question 5: Consider the more difficult classification problem shown in the chart below: Class -1 0.9 O Class 1 0.8 0.6 0.4 0.3 0.2 0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.91 i1 Figure 6: A set of two-dimensional input samples from two classes (a) As you certainly noticed, a single perceptron cannot do this classification task perfectly. Determine the minimum error that a single perceptron can reach, and show the dividing line in the input space for such a perceptron. (b) Clearly, we need a multi-layer perceptron to do this task perfectly. Develop such a system of connected perceptrons and write it down, together with the required weights for each unit. Illustrate the dividing lines for these perceptrons in a copy of the chart above. (10 points)

Answer 1

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