@inproceedings{ZscheischlerJZ2011,
  title = {Testing whether linear equations are causal: A free probability theory approach},
  abstract = {We propose a method that infers whether linear relations between two high-dimensional variables X and Y are due to a causal influence from X to Y or from Y to X. The earlier proposed so-called Trace Method is extended to the regime where the dimension of the observed variables exceeds the sample size. Based on previous work, we postulate
  conditions that characterize a causal relation between X and Y . Moreover, we describe a statistical test and argue that both causal directions are typically rejected if there is a common cause. A full theoretical analysis is
  presented for the deterministic case but our approach seems to be valid for the noisy case, too, for which we additionally present an approach based on a sparsity constraint. The discussed method yields promising results for both simulated and real world data.},
  pages = {839-847},
  editors = {Cozman, F.G. , A. Pfeffer},
  publisher = {AUAI Press},
  address = {Corvallis, OR, USA},
  month = jul,
  year = {2011},
  slug = {zscheischlerjz2011},
  author = {Zscheischler, J. and Janzing, D. and Zhang, K.},
  month_numeric = {7}
}