Identifying Causal Effects with Computer Algebra
Luis Garcia, Sarah Spielvogel, Seth Sullivant
The long-standing identification problem for causal effects in graphical models has many partial results but lacks a systematic study. We show how computer algebra can be used to either prove that a causal effect can be identified, generically identified, or show that the effect is not generically identifiable. We report on the results of our computations for linear structural equation models, where we determine precisely which causal effects are generically identifiable for all graphs on three and four vertices.
PDF Link: /papers/10/p193-garcia.pdf
AUTHOR = "Luis Garcia
and Sarah Spielvogel and Seth Sullivant",
TITLE = "Identifying Causal Effects with Computer Algebra",
BOOKTITLE = "Proceedings of the Twenty-Sixth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-10)",
PUBLISHER = "AUAI Press",
ADDRESS = "Corvallis, Oregon",
YEAR = "2010",
PAGES = "193--200"