min or argmin

min or argmin

par Aidas Venckunas,
Number of replies: 3

Hello,

here in this formula for the max margin classifier:


Should it be argmin? I don't understand what min in terms of w means here.

Thank you for the answer.

In reply to Aidas Venckunas

Re: min or argmin

par Sena Kiciroglu,
Hello,

Yes you are right! It should be argmin_w instead of min_w. From Christopher Bishop's book:



Best,
Sena
In reply to Sena Kiciroglu

Re: min or argmin

par Théo Edouard Schifferli,
Hello,
Just to make sure I understood correctly, min_w 1/2 ||w||^2 would give us the minimum value this expression can take, whereas argmin_w would give us the w s.t 1/2 ||w||^2 is smallest, right?
Thanks in advance