This helper function does the heavy lifting for optimize_effect_2
.
For a given casual query, it computes either a lower or an upper bound on the corresponding causal effect.
Arguments
- opt
A string. Either
"min"
or"max"
for a lower or an upper bound, respectively.- obj
An object as returned by the function
analyze_graph
. Contains the casual query to be estimated.
Value
An object of class optbound
; a list with the following named components:
expr
is the main output; an expression of the bound as a print-friendly string,type
is either"lower"
or"upper"
according to the type of the bound,dual_vertices
is a numeric matrix whose rows are the vertices of the convex polytope of the dual LP,dual_vrep
is a V-representation of the dual convex polytope, including some extra data.