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stat.ME2026
Markov Random Fields: Structural Properties, Phase Transition, and Response Function Analysis
J. Brandon Carter, Catherine A. Calder
This paper presents a focused review of Markov random fields (MRFs)--commonly used probabilistic representations of spatial dependence in discrete spatial domains--for categorical…
stat.ME2024
Mixture of Directed Graphical Models for Discrete Spatial Random Fields
J. Brandon Carter, Catherine A. Calder
Current approaches for modeling discrete-valued outcomes associated with spatially-dependent areal units incur computational and theoretical challenges, especially in the Bayesian…