Question 3 [5 points] (Perceptron) Give a perceptron for the following boolean function: $x_1 x_2 \overline{x_3}$
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The function is T1X2X3, which means it is a three-variable function where T represents the true constant (or 1), and X2, X3 are variables. The function output is true (or 1) only when both X2 and X3 are true (or 1). Show more…
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Sri K.
Problem 3 (40 pts): Given the following perceptron (with weights given on the connections). Figure-3 a) Fill in the table below to give the output of this perceptron on the following training set: x1 x2 target output 2 1 1 -3 1 0 0 0 1 What is the accuracy of this perceptron on this training set? b) Write the equation of the separation line defined by this perceptron in slope-intercept form (x2 = mx1 + b). c) Sketch the line on a two-dimensional plot. Also plot the three training examples. d) What is the bias (weight) of this perceptron? What is the threshold? II. a) For the perceptron and training set in (I), apply the perceptron learning rule with gradient descent for one epoch of training. Use a learning rate ̷ = 1. b) What are the weights after one epoch of training? c) What is the accuracy on the training set after one epoch of training?
Adi S.
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