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A Versatile Causal Discovery Framework to Allow Causally-Related Hidden Variables
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Most existing causal discovery methods rely on the assumption of no latent confounders, limiting their applicability in solving real-life problems. In this paper, we introduce a novel, versatile framework for causal discovery that accommodates the presence of causally-related hidden variables almost everywhere in the causal network (for instance, they can be effects of observed variables), based on rank information of covariance matrix over observed variables. We start by investigating the efficacy of rank in comparison to conditional independence and, theoretically, establish necessary and sufficient conditions for the identifiability of certain latent structural patterns. Furthermore, we develop a Rank-based Latent Causal Discovery algorithm, RLCD, that can efficiently locate hidden variables, determine their cardinalities, and discover the entire causal structure over both measured and hidden ones. We also show that, under certain graphical conditions, RLCD correctly identifies the Markov Equivalence Class of the whole latent causal graph asymptotically. Experimental results on both synthetic and real-world personality data sets demonstrate the efficacy of the proposed approach in finite-sample cases.
Forward citations
Cited by 2 Pith papers
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From Reasoning Traces to Reusable Modules: Understanding Compositional Generalization in Language Model Reasoning
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Score-Based Causal Discovery of Latent Variable Causal Models
Introduces score-based causal discovery algorithms for latent variable models that achieve score equivalence and consistency while unifying some existing constraint-based approaches via degrees-of-freedom characterization.
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