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math.ST2026
A Generative Model for Extremely Sparse Edge-Exchangeable Networks
Valentin Kilian
We propose a graph generative model for sequences of extremely sparse, edge-exchangeable networks. Models for sparse graphs often face a trade-off between desirable properties like…
math.ST2025
Rapidly Varying Completely Random Measures for Modeling Extremely Sparse Networks
Valentin Kilian, Benjamin Guedj, François Caron
Completely random measures (CRMs) are fundamental to Bayesian nonparametric models, with applications in clustering, feature allocation, and network analysis. A key quantity of int…