Consider the general SVM optimization problem: min ||w|l+C& E,w.b s.t m i=1 y(i) (wz(i) + b)...

 

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Consider the general SVM optimization problem: min ||w|l²+C& E,w.b s.t m i=1 y(i) (w²z(i) + b) ≥ 1 - Ei, 20; i = 1,..., m. where C is a cost parameter and 's are slack variables. (a) Write the Primal and Dual problems. (b) Derive the equation of the Dual problem and apply the KKT conditions to identify the support vectors. (c) (optional) Write an R program to solve the Dual optimization problem numerically using the SMO Algorithm. Consider the general SVM optimization problem: min ||w|l²+C& E,w.b s.t m i=1 y(i) (w²z(i) + b) ≥ 1 - Ei, 20; i = 1,..., m. where C is a cost parameter and 's are slack variables. (a) Write the Primal and Dual problems. (b) Derive the equation of the Dual problem and apply the KKT conditions to identify the support vectors. (c) (optional) Write an R program to solve the Dual optimization problem numerically using the SMO Algorithm.

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