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Preprint Sep 2026

Continuously Updating GMM in Linear IV Models: A Polynomial Approach

This paper characterizes the global minimum of the continuously updating generalized method of moments (CU-GMM) objective in linear instrumental variables models. We allow optimal weighting matrices under heteroskedasticity, autocorrelation, or clustering. We show that the objective is a ratio of polynomials. For one e...

Marcelo J. Moreira, W. Newey, Mahrad Sharifvaghefi · 0 citations
Preprint Oct 2026

Pragmatic DML with AI-Learned Representations

Text, images, and other rich covariates are increasingly compressed into AI-learned representations and then used as controls in causal analysis. We study when this approach is valid and develop a practical framework for causal inference with learned representations. For a broad class of estimands, an imperfect represe...

Andrés Fernández, V. Chernozhukov, Carlos Cinelli et al. · 0 citations

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