Locating the minimum of a function from adaptive queries

Sep 19, 3pm NSH 3305

Speaker: Yining Wang

Abstract: I will discuss the question of locating the minimum of an unknown function from noisy adaptive queries. I will discuss why the problem does not make much sense for general non-parametric families like Holder classes, and why the problem becomes interesting with certain shape constraints such as convexity. I will review some results in both the machine learning and the statistics literature on convex regression and zeroth order optimization, and mention open questions.