Orthogonal Machine Learning: Power and Limitations
Talkat Robust and High-Dimensional Statistics (Simons Institute workshop, 2018) · 2018-10-29..11-02·
summary
Generalizes Neyman orthogonality to K-orthogonality and shows that if moment functions kill derivatives up to order K then nuisance estimators at rate N^(-1/(2K+2)) suffice for root-N inference; implements with sample-splitting and cross-fitting, estimates nuisances by LASSO in a partially linear regression, requires non-Gaussian treatment residuals (discrete discounts in pricing) for second‑order gains, and simulations (N≈5k, P≈1k) show much lower bias but slightly higher variance.
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chapters (10)
- 0:00Introduction
- 3:59Classical Option
- 10:59General Problem
- 18:00Goal
- 18:35First Order of Thought
- 21:08Orthogonality
- 21:44Results
- 23:43In practice
- 26:50Exploit nongaussian moments
- 37:54Future Directions
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