Tag Archives: convex geometry
Found a great overview of the subject with a lot of insight. Another brief intro is here.
Here I describe the solution to the problem from the last post. Spoilers!
I came up with what seems quite a beautiful geometric construction solving the problem described below. On a compact convex set consider the function where we denote In other words, “hanging” in the point we measure the “width” of the … Continue reading
A useful little fact for constrained optimization. Let be a convex set, and consider and its projection on As quickly follows from the separation theorem with hyperplane containing for any the angle between and is obtuse. … Continue reading