| Abstract: |
In science we are often interested in discovering the causal
relations among variables. Interventions are key to this causal
discovery since they allow the researcher to distinguish among Markov
equivalent graphs. We prove that log(N)+1 experiments are necessary
and in the worst case sufficient to discover all the causal relations
among N variables, if each experiments consists of a simultaneous and
independent randomization on a subset of variables. We assume that
there are no latent variables and no feedback, that interventions are
possible on all variables and that an experiment returns the
conditional independence relations true in the population. The proof
specifies a procedure of placing interventions that obtains this bound. |