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4 . Show that the Hessian matrix H for the logistic regression model, given by (4.97), is positive definite. Here R is a diagonal matrix

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4 . Show that the Hessian matrix H for the logistic regression model, given by (4.97), is positive definite. Here R is a diagonal matrix with elements yn (1 - In), and yn is the output of the logistic regression model for input vector Xn. Hence show that the error function is a concave function of w and that it has a unique minimum. (This is problem 4.15, from Bishop textbook) (10 pts)

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