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Published September 2016 | Published + Submitted
Journal Article Open

Causal Discovery from Subsampled Time Series Data by Constraint Optimization

Abstract

This paper focuses on causal structure estimation from time series data in which measurements are obtained at a coarser timescale than the causal timescale of the underlying system. Previous work has shown that such subsampling can lead to significant errors about the system's causal structure if not properly taken into account. In this paper, we first consider the search for the system timescale causal structures that correspond to a given measurement timescale structure. We provide a constraint satisfaction procedure whose computational performance is several orders of magnitude better than previous approaches. We then consider finite-sample data as input, and propose the first constraint optimization approach for recovering the system timescale causal structure. This algorithm optimally recovers from possible conflicts due to statistical errors. More generally, these advances allow for a robust and non-parametric estimation of system timescale causal structures from subsampled time series data.

Additional Information

© 2016 JMLR. AH was supported by Academy of Finland Centre of Excellence in Computational Inference Research COIN (grant 251170). SP was supported by NSF IIS-1318759 & NIH R01EB005846. MJ was supported by Academy of Finland Centre of Excellence in Computational Inference Research COIN (grant 251170) and grants 276412, 284591; and Research Funds of the University of Helsinki. FE was supported by NSF 1564330. DD was supported by NSF IIS-1318815 &NIH U54HG008540 (from the National Human Genome Research Institute through funds provided by the trans-NIH Big Data to Knowledge (BD2K) initiative). The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health.

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Submitted - 1602.07970.pdf

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August 22, 2023
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