Structure learning for extremal graphical models
Stanislav Volgushev · Feb 18, 2022
Date: 2022-02-18 Time: 15:30-16:30 (Montreal time) https://umontreal.zoom.us/j/85105423917?pwd=enM3MGpFNkZKU2daMjRITmo0N0JUUT09 Meeting ID: 851 0542 3917 Passcode: 403790 Abstract: Extremal graphical models are sparse statistical models for multivariate extreme events. The underlying graph encodes conditional independencies and enables a visual interpretation of the complex extremal dependence structure. For the important case of tree models, we provide a data-driven methodology for learning the graphical structure. We show that sample versions of the extremal correlation and a new summary statistic, which we call the extremal variogram, can be used as weights for a minimum spanning tree to consistently recover the true underlying tree.