Generalization of LiNGAM that allows confounding
- URL: http://arxiv.org/abs/2401.16661v3
- Date: Thu, 8 Feb 2024 10:13:19 GMT
- Title: Generalization of LiNGAM that allows confounding
- Abstract summary: LiNGAM determines the variable order from cause to effect using additive noise models.
Previous methods required significant computational resources regardless of the presence of confounding.
This paper enhances LiNGAM by introducing LiNGAM-MMI, a method that quantifies the magnitude of confounding.
- Score: 1.0878040851637998
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: LiNGAM determines the variable order from cause to effect using additive
noise models, but it faces challenges with confounding. Previous methods
maintained LiNGAM's fundamental structure while trying to identify and address
variables affected by confounding. As a result, these methods required
significant computational resources regardless of the presence of confounding,
and they did not ensure the detection of all confounding types. In contrast,
this paper enhances LiNGAM by introducing LiNGAM-MMI, a method that quantifies
the magnitude of confounding using KL divergence and arranges the variables to
minimize its impact. This method efficiently achieves a globally optimal
variable order through the shortest path problem formulation. LiNGAM-MMI
processes data as efficiently as traditional LiNGAM in scenarios without
confounding while effectively addressing confounding situations. Our
experimental results suggest that LiNGAM-MMI more accurately determines the
correct variable order, both in the presence and absence of confounding.
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