Is Smoothed Analysis used outside academia? Did the smoothed analysis find its way into main stream analysis of algorithms? Is it common for algorithm designers to apply smoothed analysis to their algorithms?
I could be wrong, but I view smoothed analysis as a way to explain the in-practice behaviour of algorithms that have bad theoretical guarantees (simplex, k-means, and so on). I'm not sure what it would mean to use smoothed analysis in practice, except to justify the use of a particular heuristic with bad worst-case performance ("My heuristic has blah blah worst-case behaviour but a smoothed analysis indicates that it will do well in practice etc etc")