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Model Averaging and Double Machine Learning

Achim Ahrens, Christian B. Hansen, Mark E. Schaffer, Thomas Wiemann

arXiv 3 Jan 2024 · Econometrics · publishedJournal of Applied Econometrics (2025) · 17 citations (OpenAlex)

arXiv:2401.01645 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper discusses pairing double/debiased machine learning (DDML) with stacking, a model averaging method for combining multiple candidate learners, to estimate structural parameters. In addition to conventional stacking, we consider two stacking variants available for DDML: short-stacking exploits the cross-fitting step of DDML to substantially reduce the computational burden and pooled stacking enforces common stacking weights over cross-fitting folds. Using calibrated simulation studies and two applications estimating gender gaps in citations and wages, we show that DDML with stacking is more robust to partially unknown functional forms than common alternative approaches based on single pre-selected learners. We provide Stata and R software implementing our proposals.

Citation extraction

82
references
120
in-text mentions
82
distinct cited
9
self-citations
14,730
main-text words

appendix boundary found by appendix_command · 74% of the source is main text. Read the extracted text to check this.

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
1Chernozhukov, Victor, Chetverikov, Denis, Demirer, Mert, Duflo, Esth… (2018) Double/debiased machine learning for treatment and structural parameters self1.00084100%
2Zhu, Ying (2023) Omitted variable bias of Lasso-based inference methods: A finite sample analysis0.87462100%
3Ahrens, Achim, Hansen, Christian B., Schaffer, Mark E., Wiemann, Tho… (2024) ddml: Double/debiased machine learning in Stata self0.8434375%
4Belloni, Alexandre, Chernozhukov, Victor, Hansen, Christian (2014) Inference on treatment effects after selection among high-dimensional controls self0.81142100%
5Belloni, A, Chernozhukov, V, Fernández-Val, I, Hansen, C (2017) Program Evaluation and Causal Inference With High-Dimensional Data self0.64441100%
6Card, David, DellaVigna, Stefano, Funk, Patricia, Iriberri, Nagore (2020) Are Referees and Editors in Economics Gender Neutral?0.64441100%
7Hastie, Trevor, Tibshirani, Robert, Friedman, Jerome (2009) The Elements of Statistical Learning0.64422100%
8Wang, Xiaoqian, Hyndman, Rob J., Li, Feng, Kan, Yanfei (2023) Forecast combinations: An over 50-year review0.64422100%
9Ash, Elliott, Hansen, Stephen (2023) Text Algorithms in Economics0.64422100%
10Ash, Elliott, Chen, Daniel L., Ornaghi, Arianna (2024) Gender Attitudes in the Judiciary: Evidence from US Circuit Courts0.64422100%

Showing the top 10 of 82 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1An Introduction to Double/Debiased Machine Learning0.92843
2On the Asymptotic Properties of Debiased Machine Learning Estimators0.84333
3Deep Learning for Individual Heterogeneity0.51122
4Double Machine Learning for Time Series0.40511