Flow-based Generative Modeling of Potential Outcomes and Counterfactuals

TL;DR

PO-Flow is a novel continuous normalizing flow framework for causal inference that models potential outcomes and counterfactuals, enabling personalized treatment effect estimation with uncertainty quantification.

Contribution

It introduces a unified flow-based approach for modeling potential outcomes and counterfactuals, with a decoding mechanism conditioned on factual outcomes and a likelihood-based evaluation method.

Findings

Demonstrates strong performance on benchmark datasets.

Provides uncertainty-aware assessment of potential outcomes.

Supports likelihood-based evaluation for causal inference tasks.

Abstract

Predicting potential and counterfactual outcomes from observational data is central to individualized decision-making, particularly in clinical settings where treatment choices must be tailored to each patient rather than guided solely by population averages. We propose PO-Flow, a continuous normalizing flow (CNF) framework for causal inference that jointly models potential outcome distributions and factual-conditioned counterfactual outcomes. Trained via flow matching, PO-Flow provides a unified approach to individualized potential outcome prediction, conditional average treatment effect estimation, and counterfactual prediction. By encoding an observed factual outcome and decoding under an alternative treatment, PO-Flow provides an encode-decode mechanism for factual-conditioned counterfactual prediction. In addition, PO-Flow supports likelihood-based evaluation of potential outcomes, enabling uncertainty-aware assessment of predictions. A supporting recovery guarantee is established under certain assumptions, and empirical results on benchmark datasets demonstrate strong performance across a range of causal inference tasks within the potential outcomes framework.