By Karoly Boroczky and others

We study the number of facets of the convex hull of n independent standard Gaussian points in d-dimensional Euclidean space. In particular, we are interested in the expected number of facets when the dimension is allowed to grow with the sample size. We establish an explicit asymptotic formula that is... Show more

January 10, 2024

Loading full text...

Similar articles

Loading recommendations...

x1

Facets of high-dimensional Gaussian polytopes

Click on play to start listening