Go Classes | DA Course | Machine Learning

Recall the hard-margin SVM objective: $$minimize \frac{1}{2}||w||_2^2$$
    $$s.t. \\\ \\\  y_i(w^Tx_i + b) \geq 1 \forall_i$$
The constraints says that the (functional) margin of each example is at least $1$. If we change the constraint to require the margin to be at least $c (c \> 0)$, i.e. solving
    $$minimize \\\ \\\ \frac{1}{2}||w||^2_2$$
    $$s.t. \\\ \\\ y_i(w^T x_i + b) \geq c \forall _i$$
Would it change the separating hyperplane?

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