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Conformal Inference of Individual Treatment Effects Using Conditional Density Estimates
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In an era where diverse and complex data are increasingly accessible, the precise prediction of individual treatment effects (ITE) becomes crucial across fields such as healthcare, economics, and public policy. Current state-of-the-art approaches, while providing valid prediction intervals through Conformal Quantile Regression (CQR) and related techniques, often yield overly conservative prediction intervals. In this work, we introduce a conformal inference approach to ITE using the conditional density of the outcome given the covariates. We leverage the reference distribution technique to efficiently estimate the conditional densities as the score functions under a two-stage conformal ITE framework. We show that our prediction intervals are not only marginally valid but are narrower than existing methods. Experimental results further validate the usefulness of our method.
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Individual Treatment Effect: Prediction Intervals and Sharp Bounds
Valid prediction intervals for individual treatment effects from large RCTs are trivial unless response rates are extreme, and sharp pmf bounds are given by sums of Fréchet cell bounds.
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