Exchangeable trait allocations

Trait allocations are a class of combinatorial structures in which data may belong to multiple groups and may have different levels of belonging in each group. Often the data are also exchangeable, i.e., their joint distribution is invariant to …

Edge-exchangeable graphs and sparsity

Many popular network models rely on the assumption of (vertex) exchangeability, in which the distribution of the graph is invariant to relabelings of the vertices. However, the Aldous-Hoover theorem guarantees that these graphs are dense or empty …

Priors on exchangeable directed graphs

Preliminary version in the NIPS Workshop on Bayesian Nonparametrics, 2015.