Identifying Causal Effects with Computer Algebra

Details Identifying Causal Effects with Computer Algebra Identifying Causal Effects with Computer Algebra

2010-07-22

arxiv.org/abs/1007.3784v1

Proceedings of the 26th Conference of Uncertainty in Artificial Intelligence (2010)

Mathematics

Statistics Theory

8 pages, 3 figures, companion website: http://graphicalmodels.info

Scientific paper

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.

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