# > w.test
# [1] -0.4689827 -0.2557522 0.1457067 0.8164156 -0.5966361 0.7967794 0.8893505 0.3215956 0.2582281 -0.8764275
# [11] -0.5880509 -0.6468865
#-----------------------------------------------------------------------------------
# Before mrf.exact.nll(w.test, com, samps, infer.exact)
# node/edge pots 1
# > com$par.stat <- mrf.stat(com, samps)
# > com$par.stat
# [1] 42 11 10 41 6 3 39 6 10 39 2 1
# > com$gradient
# [1] 0 0 0 0 0 0 0 0 0 0 0 0
# > com$nll
# [1] 0
# > com$par
# [1] 0 0 0 0 0 0 0 0 0 0 0 0
#-----------------------------------------------------------------------------------
# After mrf.exact.nll(w.test, com, samps, infer.exact)
# > com$par.stat
# [1] 42 11 10 41 6 3 39 6 10 39 2 1
# > com$gradient
# [1] -24.9023954 7.9999483 21.7773959 -8.1601513 1.1372617 18.0397088 -24.9948916 8.0676550 0.3381746
# [10] -29.4391696 15.9373933 2.3201487
# > com$nll
# [1] 141.5314
# > com$par
# [1] -0.4689827 -0.2557522 0.1457067 0.8164156 -0.5966361 0.7967794 0.8893505 0.3215956 0.2582281 -0.8764275
# [11] -0.5880509 -0.6468865
# > com$node.pot
# [,1] [,2]
# [1,] 0.6256384 1
# [2,] 0.7743338 1
# [3,] 1.1568569 1
# [4,] 2.2623760 1
# > com$edge.pot
# [[1]]
# [,1] [,2]
# [1,] 0.5506609 1.000000
# [2,] 1.0000000 2.218385
#
# [[2]]
# [,1] [,2]
# [1,] 2.433549 1.000000
# [2,] 1.000000 1.379327
#
# [[3]]
# [,1] [,2]
# [1,] 1.294634 1.0000000
# [2,] 1.000000 0.4162674
#
# [[4]]
# [,1] [,2]
# [1,] 0.5554088 1.0000000
# [2,] 1.0000000 0.5236737
# > infer.exact(com)
# $node.bel
# [,1] [,2]
# [1,] 0.3419521 0.6580479
# [2,] 0.3799990 0.6200010
# [3,] 0.6355479 0.3644521
# [4,] 0.6567970 0.3432030
#
# $edge.bel
# $edge.bel[[1]]
# [,1] [,2]
# [1,] 0.1427452 0.1992069
# [2,] 0.2372537 0.4207942
#
# $edge.bel[[2]]
# [,1] [,2]
# [1,] 0.2801022 0.06184992
# [2,] 0.3766948 0.28135310
#
# $edge.bel[[3]]
# [,1] [,2]
# [1,] 0.2067635 0.1732355
# [2,] 0.4287844 0.1912166
#
# $edge.bel[[4]]
# [,1] [,2]
# [1,] 0.3587479 0.27680005
# [2,] 0.2980491 0.06640297
#
#
# $logZ
# [1] 3.119087
#No change in node/edge pots
#-----------------------------------------------------------------------------------
# Re-scale potentials:
# > mrf.update(com) # Rescales potentials
# > com$node.pot
# [,1] [,2]
# [1,] 0.6256384 1.0000000
# [2,] 0.7743338 1.0000000
# [3,] 1.0000000 0.8644112
# [4,] 1.0000000 0.4420132
# > com$edge.pot
# [[1]]
# [,1] [,2]
# [1,] 0.2482260 0.4507784
# [2,] 0.4507784 1.0000000
#
# [[2]]
# [,1] [,2]
# [1,] 1.0000000 0.4109225
# [2,] 0.4109225 0.5667965
#
# [[3]]
# [,1] [,2]
# [1,] 1.000000 0.7724190
# [2,] 0.772419 0.3215329
#
# [[4]]
# [,1] [,2]
# [1,] 0.5554088 1.0000000
# [2,] 1.0000000 0.5236737
# Beliefs from re-scaled pots:
# > infer.exact(com)
# $node.bel
# [,1] [,2]
# [1,] 0.3419521 0.6580479
# [2,] 0.3799990 0.6200010
# [3,] 0.6355479 0.3644521
# [4,] 0.6567970 0.3432030
#
# $edge.bel
# $edge.bel[[1]]
# [,1] [,2]
# [1,] 0.1427452 0.1992069
# [2,] 0.2372537 0.4207942
#
# $edge.bel[[2]]
# [,1] [,2]
# [1,] 0.2801022 0.06184992
# [2,] 0.3766948 0.28135310
#
# $edge.bel[[3]]
# [,1] [,2]
# [1,] 0.2067635 0.1732355
# [2,] 0.4287844 0.1912166
#
# $edge.bel[[4]]
# [,1] [,2]
# [1,] 0.3587479 0.27680005
# [2,] 0.2980491 0.06640297
#
#
# $logZ
# [1] 0.2126063
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