8:20 ~ 11:25 The advanced methods for establishing convexity. Personally, I think this spirit applies to life. I am compelled to take notes here and share them with friends.
at 51:24 how is it possible for the plotted function to be quasiconvex since it doesn't satisfy the modified jensen's inequality. for example, if we take point x1 to be to the left of the local optimal point and near the golbal optimal point, and x2 to be exactly at the local optimal, then there will be some points in f(x) that lie above the the line of the maximum of the two points. Am I missing something here?
at 22:50 I think he meant to say that h1(x) is not affine. He said its not convex, but it definitely is convex but it is not affine. and it doesn't matter if it is convex or not because we care if it is affine or not as per the definition.
Prof Stepen Boyd lecture notes are well defined in concept and being intuitive to strengthen your core understanding. They are lecturer notes but constraint by time & expect students to review with his book and requires alot of practice.
There's a distinct difference between Dr Ahmad Bazzi's teaching and Prof Stephen Boyd. Prof Stephen Boyd are lecturer notes and limited in time whereas Dr Ahmad is not and has the liberty to go in depth to strengthen the core concept. Prof Stephen Boyd on the other hand is intuitive, challenging and expect the student to go over the video, at least thrice, as well on his Convex optimization book to strengthen the ideas . Occasionally , he does create humor in his teachings so as not to bore the students but cleverly & repeatedly stressed on ideas that're essential for your their understanding.