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Observational-Interventional Priors for Dose-Response Learning

NeurIPS 2016 · Probabilistic and scientific modeling › Treatment effects · approach: Latent-variable causal inference · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
fix a=1, b=0 (drop the affine correction of f_obs) (ablation)Proposed prior · Synthetic, adversarial confoundingmean error / log-likelihoodHurt
fix a and b (Competitor I) uncertainty (ablation)Proposed prior · Syntheticlog-likelihoodHurt
replace affine transformation with generic SE-GP residual (Competitor II) (ablation)Proposed prior · Synthetic, small Mmean error: 0.05 -> 0.02Hurt
use GP on interventional data only (Competitor III) (ablation)Proposed prior · Synthetic, M=40 vs 200mean error: 0.11 -> 0.03Hurt
increase interventional sample size M from 40 to 200Proposed advantage over Competitor III · Synthetic Q50% Randomerror gap: 0.11 -> 0.03Mixed
low signal-to-noise problemsCompetitor III · Syntheticlog-likelihoodHurt
add observational prior to GP on interventional dataGP regression · IHDP case study, high school stratumnormalized absolute error: 0.06Helped
add observational prior to GP on interventional dataGP regression · IHDP case study, college stratumnormalized absolute error: 0.07Helped
add observational prior to GP on interventional dataGP regression · IHDP case study, combinednormalized absolute error: 0.08Helped
larger signal range 80% vs 50% with cubic truth (ablation)Competitor I gap · Synthetic cubic Randommean error difference: 0.01 -> 0.03Mixed

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