Targeted Data Adaptive Estimation of the Causal Dose–Response Curve

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Non‐parametric methods for doubly robust estimation of continuous treatment effects (2015, methodology): “ernel regression, we dene the smoothed version of the eect curve as h (a) = g ha(a)T h(a) with (a) the kernel-weighted least squares projection h(a) = argmin 22R E K ha(A) n (A) g (A)T o 2 ; (4) where as in (3) we have K ha(t) = h 1Kf(t a)=hgwith K a standard kernel function (e.g., a symmetric pr”
Semiparametric doubly robust targeted double machine learning: a review (2022, background): “These arise in many important and common settings in causal inference, for example: eﬀects of continuous treatments [Díaz and van der Laan, 2013, Kennedy et al., 2017, Rubin and van der Laan, 2006], counterfactual density estimation [Kennedy et al., 2021, Kim et al., 2018, Robins and Rotnitzky,…”