Identifying whether a variable needs to be intervened. Can we tell this from the ids?
This doesn't quite fit into the intervention interface. We don't have an explicit random variable - rather we have a predicate on random variables that says whether it should be intervened. Then we don't have a specific value, we have a kind of function that we want to execute.
So I think I should make a more general type of intervention first and formulate rid in thee terms.
As for identifying the variable, looking at the thing above it's clear that the one we want to intervene does not have 12 in it's ids. Is this robust? Let's consider possible failures
id has 12 in it but should be in \theta. This could happen if:
: there's some parent that has the id 12. for instance if we had e = 12 ~ Normal(0, 1)
id does no have 12 in it but should not be in \theta. I can't think of a way in which this would happen. If it does not have 12 in it
In the normal normal a model:
rcd(x)
should just bex || θ
In contrast, if you have
A = X + Y + Z
, its not clear whatRCD(A)
should meanI think then that it make sense to limit RCD of one arg to members of plates
Whereby
RCD(Id ~ X)
is w.r.t. everything that's not in the plate. ExampleIn this case we, if we have
x = 12 ~ f
, and thenrcd(x)
, we really just want\theta
to includee
.Difficulties in implementation:
So I think I should make a more general type of intervention first and formulate rid in thee terms.
As for identifying the variable, looking at the thing above it's clear that the one we want to intervene does not have 12 in it's ids. Is this robust? Let's consider possible failures
e = 12 ~ Normal(0, 1)