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math.ST2025
On Exponential Random Graph Models with Dyadic Independence
Kayvan Sadeghi
We show that the only exponential random graph model with n nodal parameters, dyads being independent, and the natural assumption of permutation-equivariant nodal parametrization i…
math.ST2019
On Finite Exchangeability and Conditional Independence
Kayvan Sadeghi
We study the independence structure of finitely exchangeable distributions over random vectors and random networks. In particular, we provide necessary and sufficient conditions fo…
math.ST2018
Markov Properties of Discrete Determinantal Point Processes
Kayvan Sadeghi, Alessandro Rinaldo
Determinantal point processes (DPPs) are probabilistic models for repulsion. When used to represent the occurrence of random subsets of a finite base set, DPPs allow to model globa…