Duration: 57:24

1,766 views

29

A selector maps a set (in some set system) to an element in that set. In a metric space, Lipschitz selection is the problem of finding a selector that is Lipschitz with respect to the Hausdorff distance. A classical result is the existence of a Lipschitz selector for convex sets in Euclidean space. In this talk we will prove an *online* version of this classical result. This resolves the 1991 Friedman-Linial conjecture on convex body chasing.

See more at https://www.microsoft.com/en-us/research/video/chasing-convex-bodies-from-1817-to-2018/