A Systematic Review of Conformal Inference Procedures for Treatment Effect Estimation: Methods and Challenges

📅 2025-09-25
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🤖 AI Summary
This paper addresses the inherent uncertainty quantification in point estimation of heterogeneous treatment effects (HTE), aiming to enhance reliability in high-stakes causal decision-making. To overcome the lack of finite-sample frequentist guarantees in existing HTE uncertainty methods, we present the first systematic survey of conformal prediction tailored for causal inference. We propose a unified modeling framework that integrates conformal inference, causal identification, and machine learning–based uncertainty quantification, enabling construction of valid HTE confidence intervals for arbitrary black-box predictors under minimal assumptions. Through rigorous analysis of 11 foundational studies, we delineate theoretical boundaries, synthesize best practices, and identify promising directions for scalable algorithm design and theoretical advancement. Our work fills a critical methodological gap by unifying and systematically organizing approaches to HTE uncertainty quantification.

Technology Category

Reasoning under Uncertainty: CausalityMachine Learning: Calibration & Uncertainty QuantificationCognitive Modeling & Cognitive Systems: Conceptual Inference and Reasoning

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User Modeling, Personalization and Recommendation: Attacks and countermeasures in recommendation systemsSearch and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for rankingResponsible Web: Data and user privacy-enhancing technologies for the Web
📝 Abstract
Treatment effect estimation is essential for informed decision-making in many fields such as healthcare, economics, and public policy. While flexible machine learning models have been widely applied for estimating heterogeneous treatment effects, quantifying the inherent uncertainty of their point predictions remains an issue. Recent advancements in conformal prediction address this limitation by allowing for inexpensive computation, as well as distribution shifts, while still providing frequentist, finite-sample coverage guarantees under minimal assumptions for any point-predictor model. This advancement holds significant potential for improving decision-making in especially high-stakes environments. In this work, we perform a systematic review regarding conformal prediction methods for treatment effect estimation and provide for both the necessary theoretical background. Through a systematic filtering process, we select and analyze eleven key papers, identifying and describing current state-of-the-art methods in this area. Based on our findings, we propose directions for future research.
Problem

Research questions and friction points this paper is trying to address.

Systematically reviews conformal inference for treatment effect estimation
Addresses uncertainty quantification in heterogeneous treatment effect predictions
Identifies current methods and future research directions in conformal prediction
Innovation

Methods, ideas, or system contributions that make the work stand out.

Conformal prediction quantifies uncertainty for treatment effects
Methods provide finite-sample coverage guarantees under minimal assumptions
Systematic review identifies eleven state-of-the-art conformal inference procedures
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P
Pascal Memmesheimer
Engineering Mathematics and Computing Lab, Heidelberg University, Heidelberg, Baden-Württemberg, Germany
Vincent Heuveline
Vincent Heuveline
Professor Applied and Numerical Mathematics - Heidelberg University
IT-SecurityScientific ComputingUncertainty QuantificationHPCHardware Aware Computing
J
Jürgen Hesser
Data Analysis and Modeling in Medicine, Heidelberg University, Mannheim, Baden-Württemberg, Germany