74 citations · 319 across the 18 of their papers we have counts for
3 papers · 1 filter
On Exchangeability in Network Models
Steffen L. Lauritzen, Alessandro Rinaldo, Kayvan Sadeghi
We derive representation theorems for exchangeable distributions on finite and infinite graphs using elementary arguments based on geometric and graph-theoretic concepts. Our resul…
Maximum likelihood estimation in Gaussian models under total positivity
Steffen Lauritzen, Caroline Uhler, Piotr Zwiernik
We analyze the problem of maximum likelihood estimation for Gaussian distributions that are multivariate totally positive of order two (MTP2). By exploiting connections to phylogen…
Random Networks, Graphical Models, and Exchangeability
Steffen Lauritzen, Alessandro Rinaldo, Kayvan Sadeghi
We study conditional independence relationships for random networks and their interplay with exchangeability. We show that, for finitely exchangeable network models, the empirical…