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An efficient causal structure learning algorithm for linear arbitrarily distributed continuous data

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Abstract

Aim to the linear arbitrarily distributed continuous data, an causal structure learning algorithm BSEM, which is based on simultaneous equations model, was presented. The algorithm merges together simultaneous equations model and local learning. The contribution of this paper is that for linear arbitrarily distributed datasets, BSEM algorithm can effectively learn the causal structure from the datasets. We used the Sociology data to do experiments, and results demonstrated that BSEM displays good accuracy and time performance.

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References

  1. Opgen-Rhein R, Strimmer K (2007) From correlation to causation networks: a simple approximate learning algorithm and its application to high-dimensional plant gene expression data. BMC Syst Biol 1:37

    Article  Google Scholar 

  2. Yuan X, Xie L, Abouelenien M (2018) A regularized ensemble framework of deep learning for cancer detection from multi-class, imbalanced training data. Pattern Recognit 77:160–172

    Article  Google Scholar 

  3. Yuan X, Abouelenien M, Elhoseny M (2007) A boosting-based decision fusion method for learning from large, imbalanced face data set. Quantum Comput Environ Intell Large Scale Real Appl 33:433–448

    Article  Google Scholar 

  4. Yu K, Wu X, Ding W, Pei J (2016) Scalable and accurate online feature selection for big data. ACM Trans Knowl Discov Data 11(2):16

    Article  Google Scholar 

  5. Pearl J (2000) Causality: models, reasoning, and inference. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  6. Yang J, Li L, Wang AG (2011) A partial correlation-based Bayesian network structure learning algorithm under linear SEM. Knowl-Based Syst 24:963–976

    Article  Google Scholar 

  7. Friedman N, Nachman I, Peer D (1999) Learning Bayesian network structure from massive datasets: the “sparse candidate” algorithm. In: Proceedings of the 15th International Conference on Uncertainty in Artificial Intelligence (UAI1999), pp 206–215

  8. Yu K, Wu XD, Ding W, Wang H (2012) Exploring causal relationships with streaming features. Comput J 55(9):1103–1117

    Article  Google Scholar 

  9. Hyvärinen A, Zhang K, Shimizu S, Hoyer PO (2010) Estimation of a structural vector auto regressive model using non-Gaussianity. J Mach Learn Res 11:1709–1731

    MathSciNet  MATH  Google Scholar 

  10. Shimizu S, Hoyer PO, Hyvärinen A, Kerminen A (2006) A linear non-Gaussian acyclic model for causal discovery. J Mach Learn Res 7:2003–2030

    MathSciNet  MATH  Google Scholar 

  11. Hoyer OP, Hyvärinen A, Scheines R, Spirtes P, Ramsey J, Lacerda G, Shimizu S (2008) Causal discovery of linear acyclic models with arbitrary distributions. In: Proceedings of the 24th Conference on Uncertainty in Artificial Intelligence (UAI2008), Helsinki, Finland, pp 282–289

  12. Wang ZX, Chan LW (2009) A heuristic partial-correlation-based algorithm for causal relationship discovery on continuous data. In: Proceedings of the Intelligence Data Engineering and Automated Learning (IDEAL2009), pp 234–241

  13. Wang ZX, Chan LW (2010) An efficient causal discovery algorithm for linear models. In: Proceedings of the ACM Conference on Knowledge Discovery and Data Mining (KDD2010), pp 1109–1117

  14. Shimizu S, Inazumi T, Sogawa Y, Hyvärinen A, Kawahara Y, Washio T, Hoyer PO, Bollen K (2011) DirectLiNGAM: a direct method for learning a linear non-Gaussian structural equation model. J Mach Learn Res 12:1225–1248

    MathSciNet  MATH  Google Scholar 

  15. Yang J, An N, Alterovitz G (2016) A partial correlation statistic structure learning algorithm under linear structural equation models. IEEE Trans Knowl Data Eng 28(10):2552–2565

    Article  Google Scholar 

Download references

Acknowledgements

The study is backed up by the National Key Research and Development Plan (No. 2016YFC0800104), the fundamental Research Funds for the Central Universities (No. PA2018GDQT0011), NSFC (No. 71771203), and the National 111 Project (No. B14025).

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Correspondence to Ning An.

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Yang, J., Li, N., An, N. et al. An efficient causal structure learning algorithm for linear arbitrarily distributed continuous data. J Supercomput 76, 3355–3363 (2020). https://doi.org/10.1007/s11227-018-2557-5

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  • DOI: https://doi.org/10.1007/s11227-018-2557-5

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