Probability Seminar——Causal inference in degenerate systems: An impossibility result

Abstract:

Causal relationships among variables are commonly represented via directed acyclic graphs. There are many methods in the literature to quantify the strength of arrows in a causal acyclic graph. These methods, however, have undesirable properties when the causal system represented by a directed acyclic graph is degenerate. In this talk, I will characterize a degenerate causal system using the multiplicity of Markov boundaries. In this case, it is impossible to find an identifiable quantitative measure of causal effects that satisfy a set of natural criteria. To supplement the impossibility result, I will also introduce algorithms to identify degenerate causal systems from observed data. The performance of these algorithms is investigated through synthetic data analysis.

 

Zoom Meeting:https://us02web.zoom.us/j/87510614993?

Meeting ID:875 1061 4993

Password:639490