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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 36 / No. 5: AAAI-22 Technical Tracks 5

Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery

February 1, 2023

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Authors

Hao Zhang

Shanghai Key Lab of Intelligent Information Processing, and School of Computer Science, Fudan University, China School of Computer, Guangdong University of Petrochemical Technology, China


Shuigeng Zhou

Shanghai Key Lab of Intelligent Information Processing, and School of Computer Science, Fudan University, China


Kun Zhang

Department of Philosophy, Carnegie Mellon University, USA Machine Learning Department, Mohamed bin Zayed University of Artificial Intelligence, UAE


Jihong Guan

Department of Computer Science and Technology, Tongji University, China


DOI:

10.1609/aaai.v36i5.20539


Abstract:

Recently, many regression based conditional independence (CI) test methods have been proposed to solve the problem of causal discovery. These methods provide alternatives to test CI by first removing the information of the controlling set from the two target variables, and then testing the independence between the corresponding residuals Res1 and Res2. When the residuals are linearly uncorrelated, the independence test between them is nontrivial. With the ability to calculate inner product in high-dimensional space, kernel-based methods are usually used to achieve this goal, but still consume considerable time. In this paper, we investigate the independence between two linear combinations under linear non-Gaussian structural equation model. We show that the dependence between the two residuals can be captured by the difference between the similarity of (Res1, Res2) and that of (Res1, Res3) (Res3 is generated by random permutation) in high-dimensional space. With this result, we design a new method called SCIT for CI test, where permutation test is performed to control Type I error rate. The proposed method is simpler yet more efficient and effective than the existing ones. When applied to causal discovery, the proposed method outperforms the counterparts in terms of both speed and Type II error rate, especially in the case of small sample size, which is validated by our extensive experiments on various datasets.

Topics: AAAI

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HOW TO CITE:

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery Proceedings of the AAAI Conference on Artificial Intelligence (2022) 5942-5949.

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery AAAI 2022, 5942-5949.

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan (2022). Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery. Proceedings of the AAAI Conference on Artificial Intelligence, 5942-5949.

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan. Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery. Proceedings of the AAAI Conference on Artificial Intelligence 2022 p.5942-5949.

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan. 2022. Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery. "Proceedings of the AAAI Conference on Artificial Intelligence". 5942-5949.

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan. (2022) "Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery", Proceedings of the AAAI Conference on Artificial Intelligence, p.5942-5949

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan, "Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery", AAAI, p.5942-5949, 2022.

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan. "Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery". Proceedings of the AAAI Conference on Artificial Intelligence, 2022, p.5942-5949.

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan. "Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery". Proceedings of the AAAI Conference on Artificial Intelligence, (2022): 5942-5949.

Hao Zhang||Shuigeng Zhou||Kun Zhang||Jihong Guan. Residual Similarity Based Conditional Independence Test and Its Application in Causal Discovery. AAAI[Internet]. 2022[cited 2023]; 5942-5949.


ISSN: 2374-3468


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