TRIAD Distinguished Lecture Series: Professor Gabor Lugosi (Pompeu Fabra University, Barcelona)
Lecture 3 of 3
Lecture on Combinatorial Statistics
Abstract: In these lectures we discuss some statistical problems with an interesting combinatorial structure behind. We start by reviewing the "hidden clique" problem, a simple prototypical example with a surprisingly rich structure. We also discuss various "combinatorial" testing problems and their connections to high-dimensional random geometric graphs. Time permitting, we study the problem of estimating the mean of a random variable.