Stochastic block models (SBMs) serve as a fundamental probabilistic framework for generating and analysing network data with inherent community or modular structure. In these models, nodes are ...

We present a method to estimate block membership of nodes in a random graph generated by a stochastic blockmodel. We use an embedding procedure motivated by the random dot product graph model, a ...

We report new empirical and theoretical information about the dimension of trophic-niche space and the structure of food webs, as measured by the frequency of intervality and triangulation of overlap ...

This lecture course is devoted to the study of random geometrical objects and structures. Among the most prominent models are random polytopes, random tessellations, particle processes and random ...