Identifying Causal Effects with Computer Algebra

Bibliographic Details
Title: Identifying Causal Effects with Computer Algebra
Authors: García-Puente, Luis David, Spielvogel, Sarah, Sullivant, Seth
Source: Proceedings of the 26th Conference of Uncertainty in Artificial Intelligence (2010)
Publication Year: 2010
Collection: Mathematics
Statistics
Subject Terms: Mathematics - Statistics Theory, Mathematics - Commutative Algebra
More Details: 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.
Comment: 8 pages, 3 figures, companion website: http://graphicalmodels.info
Document Type: Working Paper
Access URL: http://arxiv.org/abs/1007.3784
Accession Number: edsarx.1007.3784
Database: arXiv
More Details
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