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Main Authors: Vicente, Ana Leticia Garcez, van Seeventer, Gijs, Salehkaleybar, Saber
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.06385
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author Vicente, Ana Leticia Garcez
van Seeventer, Gijs
Salehkaleybar, Saber
author_facet Vicente, Ana Leticia Garcez
van Seeventer, Gijs
Salehkaleybar, Saber
contents Estimating causal effects from observational data requires identifying valid adjustment sets. This task is especially challenging in realistic settings where latent confounding and feedback loops are present. Existing approaches typically assume acyclicity or rely on global causal structure learning, limiting applicability and computational efficiency. In this work, we study a local, data-driven method for covariate selection based on conditional independence information. While this method is known to be sound and complete in acyclic causal models, its validity in the presence of cycles has remained unclear. Our main contribution is to show that these guarantees extend to cyclic causal models. In particular, our result relies on the invariance of conditional independence assertions under $σ$-acyclification. These findings establish a unified, cycle-agnostic perspective on covariate selection and causal effect estimation, showing that the method applies across cyclic and acyclic settings without modification. Empirically, we validate this on extensive synthetic data, showing reliable performance in cyclic causal models.
format Preprint
id arxiv_https___arxiv_org_abs_2605_06385
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Data-Driven Covariate Selection for Nonparametric and Cycle-Agnostic Causal Effect Estimation
Vicente, Ana Leticia Garcez
van Seeventer, Gijs
Salehkaleybar, Saber
Machine Learning
Estimating causal effects from observational data requires identifying valid adjustment sets. This task is especially challenging in realistic settings where latent confounding and feedback loops are present. Existing approaches typically assume acyclicity or rely on global causal structure learning, limiting applicability and computational efficiency. In this work, we study a local, data-driven method for covariate selection based on conditional independence information. While this method is known to be sound and complete in acyclic causal models, its validity in the presence of cycles has remained unclear. Our main contribution is to show that these guarantees extend to cyclic causal models. In particular, our result relies on the invariance of conditional independence assertions under $σ$-acyclification. These findings establish a unified, cycle-agnostic perspective on covariate selection and causal effect estimation, showing that the method applies across cyclic and acyclic settings without modification. Empirically, we validate this on extensive synthetic data, showing reliable performance in cyclic causal models.
title Data-Driven Covariate Selection for Nonparametric and Cycle-Agnostic Causal Effect Estimation
topic Machine Learning
url https://arxiv.org/abs/2605.06385