Differentiable Cyclic Causal Discovery Under Unmeasured Confounders

Fuente: arXiv
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Autori principali: Sethuraman, Muralikrishnna G., Fekri, Faramarz
Natura: Preprint
Pubblicazione: 2025
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author Sethuraman, Muralikrishnna G.
Fekri, Faramarz
author_facet Sethuraman, Muralikrishnna G.
Fekri, Faramarz
contents Understanding causal relationships between variables is fundamental across scientific disciplines. Most causal discovery algorithms rely on two key assumptions: (i) all variables are observed, and (ii) the underlying causal graph is acyclic. While these assumptions simplify theoretical analysis, they are often violated in real-world systems, such as biological networks. Existing methods that account for confounders either assume linearity or struggle with scalability. To address these limitations, we propose DCCD-CONF, a novel framework for differentiable learning of nonlinear cyclic causal graphs in the presence of unmeasured confounders using interventional data. Our approach alternates between optimizing the graph structure and estimating the confounder distribution by maximizing the log-likelihood of the data. Through experiments on synthetic data and real-world gene perturbation datasets, we show that DCCD-CONF outperforms state-of-the-art methods in both causal graph recovery and confounder identification. Additionally, we also provide consistency guarantees for our framework, reinforcing its theoretical soundness.
format Preprint
id arxiv_https___arxiv_org_abs_2508_08450
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Differentiable Cyclic Causal Discovery Under Unmeasured Confounders
Sethuraman, Muralikrishnna G.
Fekri, Faramarz
Machine Learning
Methodology
Understanding causal relationships between variables is fundamental across scientific disciplines. Most causal discovery algorithms rely on two key assumptions: (i) all variables are observed, and (ii) the underlying causal graph is acyclic. While these assumptions simplify theoretical analysis, they are often violated in real-world systems, such as biological networks. Existing methods that account for confounders either assume linearity or struggle with scalability. To address these limitations, we propose DCCD-CONF, a novel framework for differentiable learning of nonlinear cyclic causal graphs in the presence of unmeasured confounders using interventional data. Our approach alternates between optimizing the graph structure and estimating the confounder distribution by maximizing the log-likelihood of the data. Through experiments on synthetic data and real-world gene perturbation datasets, we show that DCCD-CONF outperforms state-of-the-art methods in both causal graph recovery and confounder identification. Additionally, we also provide consistency guarantees for our framework, reinforcing its theoretical soundness.
title Differentiable Cyclic Causal Discovery Under Unmeasured Confounders
topic Machine Learning
Methodology
url https://arxiv.org/abs/2508.08450