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Kernel-based Conditional Independence Test and Application in Causal Discovery

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arxiv 1202.3775 v1 pith:7FFPSW3Q submitted 2012-02-14 cs.LG stat.ML

Kernel-based Conditional Independence Test and Application in Causal Discovery

classification cs.LG stat.ML
keywords conditionalindependencetestcausaldiscoveryespeciallykernel-basedlarge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Conditional independence testing is an important problem, especially in Bayesian network learning and causal discovery. Due to the curse of dimensionality, testing for conditional independence of continuous variables is particularly challenging. We propose a Kernel-based Conditional Independence test (KCI-test), by constructing an appropriate test statistic and deriving its asymptotic distribution under the null hypothesis of conditional independence. The proposed method is computationally efficient and easy to implement. Experimental results show that it outperforms other methods, especially when the conditioning set is large or the sample size is not very large, in which case other methods encounter difficulties.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Multiscale Cochran-Mantel-Haenszel Scanning for Conditional Dependency

    stat.ME 2026-04 unverdicted novelty 6.0

    Multiscale CMH scanning generalizes the classic test to continuous spaces, achieving consistency for conditional independence testing by conditioning on marginal order statistics without requiring large stratum sizes.

  2. Do Real-World Datasets Contain Natural Experiments? An Empirical Study Using Causal Feature Selection

    cs.AI 2026-06 unverdicted novelty 5.0

    Empirical evaluation on synthetic and real-world datasets indicates that natural experiments are present and can be leveraged via causal feature selection to boost model performance.