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005 20260901030416.0
008 250101s2019 xx o 000 0 eng d
100 1 _aBasil Saeed
245 1 0 _aAnchored Causal Inference in the Presence of Measurement Error
264 1 _barXiv
_c2019
336 _atext
338 _aonline resource
520 _aWe consider the problem of learning a causal graph in the presence of measurement error. This setting is for example common in genomics, where gene expression is corrupted through the measurement process. We develop a provably consistent procedure for estimating the causal structure in a linear Gaussian structural equation model from corrupted observations on its nodes, under a variety of measurement error models. We provide an estimator based on the method-of-moments, which can be used in conjunction with constraint-based causal structure discovery algorithms. We prove asymptotic consistency of the procedure and also discuss finite-sample considerations. We demonstrate our method's performance through simulations and on real data, where we recover the underlying gene regulatory network from zero-inflated single-cell RNA-seq data.
506 0 _aOpen access — freely available to read.
856 4 0 _uhttps://arxiv.org/pdf/1906.00928v1
_yRead the full paper (PDF)
942 _cERES
999 _c715
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