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Unveiling the Potential of Robustness in Selecting Conditional Average Treatment Effect Estimators

NeurIPS 2024 · Probabilistic and scientific modeling › Treatment effects · approach: Meta-learners and partial identification · 0 citations (OpenAlex)

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Proposes DRM, a nuisance-free distributionally robust metric (KL ambiguity set) for selecting CATE estimators that are robust to covariate shift and hidden confounding, evaluated on semi-synthetic ACIC2016-based data against 13 baseline selectors.

Problem

Selecting a CATE estimator from observational data without counterfactual outcomes or ground-truth CATE; existing plug-in and pseudo-outcome selectors need nuisance models and do not target robustness to distribution shift.

Approach

Bounds the unobservable counterfactual PEHE terms with a KL-divergence ambiguity set centered on the factual distribution, derives a dual (log-sum-exp) form solved by Newton-Raphson, and sets the radius from covariate-distribution KL divergence, so no outcome, propensity or plug-in models are fit.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DRM instead of the strongest reported baseline selectorCATE estimator selection · Setting A (ρ=0, ρ=0.1, ρ=0.3)Regret: 1.92 -> 0.96; 2.62 -> 0.84; 1.47 -> 1.25Helped
Use DRM instead of Plug-SCATE estimator selection · Setting B (ξ=0)Regret: 0.22 -> 0.38Hurt
Use DRM instead of Plug-SCATE estimator selection · Setting B (ξ=2)Regret: 5.91 -> 15.51Hurt
Use DRM instead of Plug-RCATE estimator selection · Setting C (m=0.1, m=0.5, m=0.9)Regret: 1.91 -> 1.56; 2.53 -> 1.40; 2.12 -> 1.26Helped
Use DRM for estimator ranking instead of Plug-RCATE estimator selection · Settings A, B, and CSpearman rank correlation: 0.96 -> 0.81; 0.96 -> 0.80; 0.96 -> 0.80; 0.95 -> 0.85; 0.93 -> 0.77; 0.96 -> 0.79; 0.96 -> 0.81; 0.96 -> 0.80Hurt

Surprising findings

Limitations

Experimental setup

Datasets: ACIC2016 covariates (semi-synthetic)

Benchmarks: semi-synthetic ACIC2016-based settings A, B, C

Metrics: Regret Spearman rank correlation PEHE

Baselines: Plug-S Plug-T Plug-PS Plug-X Plug-U Plug-IPW Plug-DR Plug-R Plug-RA Pseudo-DR Pseudo-R Pseudo-IF

Builds on: Rubin causal model R-learner DR-learner X-learner Kullback-Leibler distributionally robust optimization

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