ResearchResearch paperInterpretability1 source · Oct 20, 2026

Causal Discovery for Linear Models with Latent Confounding via Multi-domain Identifiable Representation Learning

In contrast, we propose Linear ADMG Learning (LinADMG), a framework for learning ADMGs for linear causal models through identifiable representation learning.

Key points

  • Causal discovery with latent confounding is particularly challenging, but a common setting in real-world data.
  • In this work, we focus on linear causal models with latent confounding, represented by acyclic directed mixed graphs (ADMGs).
  • We show that the identifiability of the noise variables is sufficient for recovering all direct causal relations, and that, under an additional latent-confounding no-cancellation condition, LinADMG can identify the whole ADMG.
  • We implement LinADMG with four identifiable representation learning approaches from the literature and validate the methods on simulated and semisynthetic datasets.

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