Rahul Singh, Liyuan Xu, Arthur Gretton
arXiv 10 Oct 2020 · Econometrics · publishedBiometrika (2023) · 6 citations (OpenAlex)
arXiv:2010.04855 · PDF · DOI · OpenAlex · Extracted main text
We propose estimators based on kernel ridge regression for nonparametric causal functions such as dose, heterogeneous, and incremental response curves. Treatment and covariates may be discrete or continuous in general spaces. Due to a decomposition property specific to the RKHS, our estimators have simple closed form solutions. We prove uniform consistency with finite sample rates via original analysis of generalized kernel ridge regression. We extend our main results to counterfactual distributions and to causal functions identified by front and back door criteria. We achieve state-of-the-art performance in nonlinear simulations with many covariates, and conduct a policy evaluation of the US Job Corps training program for disadvantaged youths.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | James Robins (1986) A new approach to causal inference in mortality studies with a sustained exposure period—application to control of the healthy w… | 0.928 | 5 | 4 | 80% |
| 2 | Whitney K Newey (1994) The asymptotic variance of semiparametric estimators | 0.843 | 4 | 4 | 75% |
| 3 | Paul R Rosenbaum and Donald B Rubin (1983) The central role of the propensity score in observational studies for causal effects | 0.843 | 4 | 4 | 75% |
| 4 | Aad van der Vaart (1991) On differentiable functionals | 0.843 | 4 | 4 | 75% |
| 5 | Xinkun Nie and Stefan Wager (2021) Quasi-oracle estimation of heterogeneous treatment effects | 0.811 | 5 | 2 | 80% |
| 6 | David A Hirshberg, Arian Maleki, and Jose R Zubizarreta (2019) Minimax linear estimation of the retargeted mean | 0.794 | 6 | 3 | 50% |
| 7 | Edward H Kennedy, Zongming Ma, Matthew D McHugh, and Dylan S Small (2017) Nonparametric methods for doubly robust estimation of continuous treatment effects | 0.737 | 5 | 4 | 40% |
| 8 | Andrea Caponnetto and Ernesto De Vito (2007) Optimal rates for the regularized least-squares algorithm | 0.737 | 4 | 3 | 50% |
| 9 | Victor Chernozhukov, Whitney K Newey, and Rahul Singh (2022) Debiased machine learning of global and local parameters using regularized Riesz representers self | 0.737 | 3 | 3 | 67% |
| 10 | Nathan Kallus (2020) Generalized optimal matching methods for causal inference | 0.737 | 3 | 2 | 100% |
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