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[Music] hey everyone welcome back so this is a direct follow-up to the svm math video so in that video i demonstrated all of the math thats behind svm and we formulated the hard margin svm problem i wanted to take this separate video and formulate the soft margin svm problem and in all honesty this is the more important case because with real data were not going to have such clean linear separability as we need in the hard margin case so that said i would make sure to watch the hard margin video first because i introduced a lot of important math and concepts in that video and then once youre done with that i would go ahead and watch this brief video on soft margin svn so i wont go over all the same concepts again but the setup is that we are trying to predict whether or not a student gets into their top choice medical school so that response is given by y i a binary variable who is negative 1 if they do not get in and plus 1 if they do get in and to predict that were going to be