Intro to Neural Networks

question 2,3

1. Given the data consisting of two classes (red points and blue points): Figure 1 Eile Edit View Insert Tools Desktop Window Help A 2 1.5 1 X 0.5 00 -0.5 -10 -1 -0.5 0 0.5 1 1.5 2 X1 a) Find the separating hyperplane by inspection. b) Use the perceptron algorithm to find the separating algorithm. Initialize the perceptron algorithm with x2 = x1 line. 2. Given the equation 2x1 + 3x2 + 4x3 4= 0 a) determine the w vector. b) Plot the plane. 3. a) Let x1 + x2-2 = 0. Draw the block diagram of the perceptron corresponding to this line. b) Let [x1 x2] = [2 1], determine its class