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This research introduces PCL-U, a novel framework that automatically learns proxy variables to address unmeasured confounding in causal inference from observational data. By utilizing neural encoders and minimax mutual information objectives, the method decomposes covariates into specific treatment- and outcome-inducing components without requiring pre-specified proxies. Experimental results on benchmarks and synthetic datasets demonstrate that this approach maintains stable estimation accuracy while matching or exceeding existing baselines.
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Proximal Causal Learning under Unmeasured Confounding

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arXiv:2610.04519v1 Announce Type: new Abstract: Estimating treatment effects from observational data typically relies on the No Unmeasured Confounding Assumption (NUCA), which rarely holds in practice. Proximal causal learning (PCL) addresses unmeasured confounding via proxy variables, yet existing methods require the proxy variables to be pre-specified. Thus, we propose PCL-U, a framework that learns proxy variables directly from observed covariates. PCL-U uses neural encoders to decompose covariates into treatment-inducing, outcome-inducing, and shared proxies, guided by minimax mutual information objectives, and obtains causal estimates through a practical moment-based risk function. Experiments on benchmarks show that PCL-U matches or outperforms existing baselines. Besides, there are two types of synthetic datasets with varying dimensions and confounding strengths that illustrate that our method maintains stable estimation accuracy.

Abstract:Estimating treatment effects from observational data typically relies on the No Unmeasured Confounding Assumption (NUCA), which rarely holds in practice. Proximal causal learning (PCL) addresses unmeasured confounding via proxy variables, yet existing methods require the proxy variables to be pre-specified. Thus, we propose PCL-U, a framework that learns proxy variables directly from observed covariates. PCL-U uses neural encoders to decompose covariates into treatment-inducing, outcome-inducing, and shared proxies, guided by minimax mutual information objectives, and obtains causal estimates through a practical moment-based risk function. Experiments on benchmarks show that PCL-U matches or outperforms existing baselines. Besides, there are two types of synthetic datasets with varying dimensions and confounding strengths that illustrate that our method maintains stable estimation accuracy.

Machine Learning (cs.LG)

arXiv:2610.04519 [cs.LG]

(or arXiv:2610.04519v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2610.04519 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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