Universität Bonn

Department of Economics

Juan Carlos Escanciano - Universidad Carlos III de Madrid

“Automatic Locally Robust GMM with Machine-Learning-Generated Regressors” /w Telmo Pérez-Izquierdo


Abstract

Machine-learning (ML) methods now routinely generate regressors used in subsequent econometric analyses, for example, estimated propensity scores, control-function residuals, imputed covariates, learned proxies, or low-dimensional embeddings of high-dimensional data. As these ML-generated regressors become ubiquitous, the lack of general inference methods for models that use them has become a critical limitation. Standard plug-in and Double ML procedures ignore how generated regressors enter later stages, leading to large biases and invalid inference. We develop a three-step locally robust GMM framework for inference with ML generated regressors. A key new insight is downstream local robustness: by a functional chain rule, moment functions that are constructed to be orthogonal to the second step eliminate the complicated indirect (conditioning) effects from the ML-generated regressors. We show how to implement this automatically by estimating the associated Riesz representers through cross-fitted auxiliary regressions, allowing for generic non-Donsker ML in both early steps. In leading treatment-effect and counterfactual settings, simulations demonstrate severe bias in existing methods and reductions of 85-95% using our procedures.


Additional information:

  • Speaker: Juan Carlos Escanciano 
  • Time: Thursday, 28.05.2026, 16:00 - 17:00
  • Location: Faculty Lounge, Room 0.036
  • Further links:
  • Organizer: Statistics Group
  • Contact:

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