Markov Random Field Models for Image Analysis
Creation of basis functions
Conditional probabilities in a pixel position
Example Data
Plotting functions for lattice data
EM estimation for Gaussian Hidden Markov field
Maximum Pseudo-likelihood fitting of MRFs on 2d lattices.
Stochastic Approximation fitting of MRFs on 2d lattices
MRF fitting functions output
Parameter restriction families
mrf2d: Markov Random Field Models for Image Analysis
mrfi: MRF interaction structure
MRF fitting functions output
Pseudo-likelihood function for MRFs on 2d lattices
Plotting of mrfi objects.
Sampling of Markov Random Fields on 2d lattices
Markov Chain sampling of MRFs for Monte-Carlo methods
Summarized representation of theta arrays
Summary Statistics
Model fitting, sampling and visualization for the (Hidden) Markov Random Field model with pairwise interactions and general interaction structure from Freguglia, Garcia & Bicas (2020) <doi:10.1002/env.2613>, which has many popular models used in 2-dimensional lattices as particular cases, like the Ising Model and Potts Model. A complete manuscript describing the package is available in Freguglia & Garcia (2022) <doi:10.18637/jss.v101.i08>.