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stat.ME2022★ 3 cited
Spatial data modeling by means of Gibbs Markov random fields based on a generalized planar rotator model
Milan Žukovič, Dionissios T. Hristopulos
We introduce a Gibbs Markov random field for spatial data on Cartesian grids which is based on the generalized planar rotator (GPR) model. The GPR model generalizes the recently pr…
math-ph2022★ 2 cited
Boltzmann-Gibbs Random Fields with Mesh-free Precision Operators Based on Smoothed Particle Hydrodynamics
Dionissios T. Hristopulos
Boltzmann-Gibbs random fields are defined in terms of the exponential expression exp(-H), where H is a suitably defined energy functional of the field states x(s). This paper prese…