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scoreEquations(...,SaturateOptions=>...) -- use options from "saturate"

Description

Default SaturateOptions in scoreEquations are the default options in saturate (missing documentation) . All optional input in saturate (missing documentation) is allowed.

i1 : G = mixedGraph(digraph {{1,2},{1,3},{2,3},{3,4}},bigraph {{3,4}})

o1 = MixedGraph{Bigraph => Bigraph{3 => {4}}   }
                                   4 => {3}
                Digraph => Digraph{1 => {2, 3}}
                                   2 => {3}
                                   3 => {4}
                                   4 => {}
                Graph => Graph{}

o1 : MixedGraph
 
i2 : R=gaussianRing(G)

o2 = R

o2 : PolynomialRing
 
i3 : U = matrix{{6, 10, 1/3, 1}, {3/5, 3, 1/2, 1}, {4/5, 3/2, 9/8, 3/10}, {10/7, 2/3,1, 8/3}};

              4       4
o3 : Matrix QQ  <-- QQ
 
i4 : J=scoreEquations(R,U,SaturateOptions => {DegreeLimit=>1, MinimalGenerators => false})

o4 = ideal (192199680p    - 99333449, 267221621760p    - 849243924773,
                      3,4                          4,4                
     ------------------------------------------------------------------------
     1353974896462794079472640p    - 142165262245288892244817, 6898968p    -
                               3,3                                     2,2  
     ------------------------------------------------------------------------
     11533057, 19600p    - 95819, 20855l    + 90447,
                     1,1                3,4         
     ------------------------------------------------------------------------
     146915678869660815915l    - 4228634793402814499,
                           2,3                       
     ------------------------------------------------------------------------
     58766271547864326366l    + 4167005135395196717, 574914l    - 896035)
                          1,3                               1,2

o4 : Ideal of QQ[l   ..l   , l   , l   , p   , p   , p   , p   , p   ]
                  1,2   1,3   2,3   3,4   1,1   2,2   3,3   4,4   3,4

See also

Functions with optional argument named SaturateOptions:

Further information

  • Default value: new OptionTable from {Strategy => null, BasisElementLimit => infinity, DegreeLimit => {}, MinimalGenerators => true, PairLimit => infinity}
  • Function: scoreEquations -- score equations of the log-likelihood function of a Gaussian graphical model
  • Option key: SaturateOptions -- optional input to use options "saturate"

The source of this document is in GraphicalModelsMLE.m2:1287:0.