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Problem 2 An electrical device is experiencing some failures. It has been noticed that we may be able to detect the failure by monitoring

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Problem 2 An electrical device is experiencing some failures. It has been noticed that we may be able to detect the failure by monitoring two features: the current (1) and the voltage (V) across the device. We would like to develop a perceptron (linear classifier) to detect the fault from these two features. (To unify the answers, try to use I and V as subscripts for features, weights, etc.) We have performed the following set of experiments and labeled the results, where (+) means that a failure 5- was observed: 4- Exp V 1 Result Failure? 3- 1 2 2 2 2 3 + 2- 3 3 3 + 4 1 1 1- 5 4 1 + A Device unders DUT < 0 1 2 3 4 a) To examine if the data is linearly separable, mark the data points on the axis above (use + and - marks). Is the data linearly separable? b) Assuming that we decided to use a bias in our design, sketch the graph of the perceptron (linear classifier) and indicate all required features and parameters. (use wy and w, to indicate the weights of V and I respectively). c) From (b), write the formula(s) that can be used to detect device failure. Keep the features and weights as unknown variables for now.

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