Question: a) The data points of a binary classification problem with two features and the class labels {+, - } are given below: (0, 2,

a) The data points of a binary classification problem with two features and the class labels {+, - } are

a) The data points of a binary classification problem with two features and the class labels {+, - } are given below: (0, 2, +), (1, 0, -), (-3, 2, +), (0, -4,-), (1, 5, +), (-1, -6, -), (5, 1,-), (0.4, +), (-2,0, +), Derive the equation of the decision boundaries for positive and negative examples. Estimate the width of the decision boundary. [2+2+2=6M] b) Consider a polynaial kernel (U, V) that transforms a two-dimensional feature space U and V into higher order feature space using the function: [4+2 =6M] K(U.V) = (U. V + 1) a) Construct the function o function such that k(U, V) = 4(U). (V) b) Given the feature vectors X1 (1, 1), and X2 (0, 1), compute their corresponding feature vectors in the new feature space by applying the function (X) obtained above.

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