Question: 5.1 Soft margin hyperplanes. The function of the slack variables used in the optimization problem for soft margin hyperplanes has the form: 7! Pm

5.1 Soft margin hyperplanes. The function of the slack variables used in the optimization problem for soft margin hyperplanes has the form:  7!

Pm i=1 i.

Instead, we could use  7!

Pm i=1 p i , with p > 1.

(a) Give the dual formulation of the problem in this general case.

(b) How does this more general formulation (p > 1) compare to the standard setting (p = 1)? In the case p = 2 is the optimization still convex?

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