• Corpus ID: 10674153

Orthogonal Machine Learning: Power and Limitations

  title={Orthogonal Machine Learning: Power and Limitations},
  author={Lester W. Mackey and Vasilis Syrgkanis and Ilias Zadik},
Double machine learning provides $\sqrt{n}$-consistent estimates of parameters of interest even when high-dimensional or nonparametric nuisance parameters are estimated at an $n^{-1/4}$ rate. The key is to employ Neyman-orthogonal moment equations which are first-order insensitive to perturbations in the nuisance parameters. We show that the $n^{-1/4}$ requirement can be improved to $n^{-1/(2k+2)}$ by employing a $k$-th order notion of orthogonality that grants robustness to more complex or… 

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