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Structural Regularization

Jiaming Mao, Zhesheng Zheng

arXiv 27 Apr 2020 · Econometrics · 3 citations (OpenAlex)

arXiv:2004.12601 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We propose a novel method for modeling data by using structural models based on economic theory as regularizers for statistical models. We show that even if a structural model is misspecified, as long as it is informative about the data-generating mechanism, our method can outperform both the (misspecified) structural model and un-structural-regularized statistical models. Our method permits a Bayesian interpretation of theory as prior knowledge and can be used both for statistical prediction and causal inference. It contributes to transfer learning by showing how incorporating theory into statistical modeling can significantly improve out-of-domain predictions and offers a way to synthesize reduced-form and structural approaches for causal effect estimation. Simulation experiments demonstrate the potential of our method in various settings, including first-price auctions, dynamic models of entry and exit, and demand estimation with instrumental variables. Our method has potential applications not only in economics, but in other scientific disciplines whose theoretical models offer important insight but are subject to significant misspecification concerns.

Citation extraction

74
references
96
in-text mentions
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distinct cited
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Most heavily cited references

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.

ReferenceIntensityMentionsSectionsMain text
1Fessler, P. and Kasy, M (2019) How to Use Economic Theory to Improve Estimators: Shrinking Toward Theoretical Restrictions0.87452100%
2Rust, J (2014) The Limits of Inference with Theory: A Review of Wolpin (2013)0.81142100%
3Christensen, T. and Connault, B (2019) Counterfactual Sensitivity and Robustness0.73732100%
4Chetty, R (2009) Sufficient Statistics for Welfare Analysis: A Bridge Between Structural and Reduced-Form Methods0.64441100%
5Heckman, J. J (2000) Causal parameters and policy analysis in economics: A twentieth century retrospective0.64422100%
6Pearl, J (2009) Causality0.64422100%
7Pan, S. J. and Yang, Q (2010) A Survey on Transfer Learning0.58531100%
8Angrist, J. D. and Pischke, J.-S (2010) The credibility revolution in empirical economics: How better research design is taking the con out of econometrics0.51121100%
9Angrist, J. D. and Krueger, A. B (1995) Split-Sample Instrumental Variables Estimates of the Return to Schooling0.51121100%
10Arcidiacono, P. and Miller, R. A (2011) Conditional choice probability estimation of dynamic discrete choice models with unobserved heterogeneity0.51121100%

Showing the top 10 of 75 scored citations.