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Detecting low-complexity unobserved causes
We describe a method that infers whether statistical dependences between two observed variables X and Y are due to a \direct" causal link or only due to a connecting causal path that contains an unobserved variable of low complexity, e.g., a binary variable. This problem is motivated by statistical genetics. Given a genetic marker that is correlated with a phenotype of interest, we want to detect whether this marker is causal or it only correlates with a causal one. Our method is based on the analysis of the location of the conditional distributions P(Y jx) in the simplex of all distributions of Y . We report encouraging results on semi-empirical data.
@inproceedings{JanzingSSPS2011, title = {Detecting low-complexity unobserved causes}, abstract = {We describe a method that infers whether statistical dependences between two observed variables X and Y are due to a \direct" causal link or only due to a connecting causal path that contains an unobserved variable of low complexity, e.g., a binary variable. This problem is motivated by statistical genetics. Given a genetic marker that is correlated with a phenotype of interest, we want to detect whether this marker is causal or it only correlates with a causal one. Our method is based on the analysis of the location of the conditional distributions P(Y jx) in the simplex of all distributions of Y . We report encouraging results on semi-empirical data.}, pages = {383-391}, editors = {FG Cozman and A Pfeffer}, publisher = {AUAI Press}, address = {Corvallis, OR, USA}, month = jul, year = {2011}, slug = {janzingssps2011}, author = {Janzing, D. and Sgouritsa, E. and Stegle, O. and Peters, J. and Sch{\"o}lkopf, B.}, month_numeric = {7} }