3 papers
cs.DM2024
The Graph Pencil Method: Mapping Subgraph Densities to Stochastic Block Models
Lee M Gunderson, Gecia Bravo-Hermsdorff, Peter Orbanz
In this work, we describe a method that determines an exact map from a finite set of subgraph densities to the parameters of a stochastic block model (SBM) matching these densities…
math.PR2024
Poisson approximation for stochastic processes summed over amenable groups
Haoyu Ye, Peter Orbanz, Morgane Austern
We generalize the Poisson limit theorem to binary functions of random objects whose law is invariant under the action of an amenable group. Examples include stationary random field…
stat.ML2023
Representing and Learning Functions Invariant Under Crystallographic Groups
Ryan P. Adams, Peter Orbanz
Crystallographic groups describe the symmetries of crystals and other repetitive structures encountered in nature and the sciences. These groups include the wallpaper and space gro…