A kernel embedding-based approach for nonstationary causal model inference
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AbstractAlthough nonstationary data are more common in the real world, most existing causal discovery methods do not take nonstationarity into consideration. In this letter, we propose a kernel embedding–based approach, ENCI, for nonstationary causal model inference where data are collected from multiple domains with varying distributions. In ENCI, we transform the complicated relation of a cause-effect pair into a linear model of variables of which observations correspond to the kernel embeddings of the cause-and-effect distributions in different domains. In this way, we are able to estimate the causal direction by exploiting the causal asymmetry of the transformed linear model. Furthermore, we extend ENCI to causal graph discovery for multiple variables by transforming the relations among them into a linear nongaussian acyclic model. We show that by exploiting the nonstationarity of distributions, both cause-effect pairs and two kinds of causal graphs are identifiable under mild conditions. Experiments on synthetic and real-world data are conducted to justify the efficacy of ENCI over major existing methods.
All Author(s) ListShoubo Hu, Zhitang Chen, Laiwan Chan
Journal nameNeural Computation
Year2018
Month5
Volume Number30
Issue Number5
PublisherMIT Press
Place of PublicationMA, USA
Pages1394 - 1425
ISSN0899-7667
eISSN1530-888X
LanguagesEnglish-United States

Last updated on 2020-06-07 at 01:56