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BIRS Workshop Lecture Videos

Combinatorial questions in optimal transport Angel, Omer

Description

Several problems in extremal combinatorics arise from a new generalization of the optimal coupling theorem to multiple random variables: Given a collection of random variables, it is possible to couple all of them so that any two differ with probability comparable to the total-variation distance between them. A typical problem is to maximize various functionals over a selection of an element from each subset of $[n]$ of size $k$.

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Attribution-NonCommercial-NoDerivatives 4.0 International