mlsanityData to 14 Oct 2026

Adversarial Generalized Method of Moments

arXiv 1803.07164 ↗First posted 19 Mar 2018econ.EM cs.GT cs.LGcited by 34

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Abstract (arXiv)

We provide an approach for learning deep neural net representations of models described via conditional moment restrictions. Conditional moment restrictions are widely used, as they are the language by which social scientists describe the assumptions they make to enable causal inference. We formulate the problem of estimating the underling model as a zero-sum game between a modeler and an adversary and apply adversarial training. Our approach is similar in nature to Generative Adversarial Networks (GAN), though here the modeler is learning a representation of a function that satisfies a continuum of moment conditions and the adversary is identifying violating moments. We outline ways of constructing effective adversaries in practice, including kernels centered by k-means clustering, and random forests. We examine the practical performance of our approach in the setting of non-parametric instrumental variable regression.

Key facts. Cited by 34 papers in the map (data through 14 Oct 2026). First posted on arXiv 19 Mar 2018.

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Citing papers per year: 2021: 8; 2022: 5; 2023: 6; 2024: 7; 2025: 5; 2026: 3.

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  1. 2021Causal Inference Under Unmeasured Confounding With Negative Controls: A Minimax Learning Approachcited by 44
  2. 2021Instrumental Variable Value Iteration for Causal Offline Reinforcement Learningcited by 35
  3. 2021On Instrumental Variable Regression for Deep Offline Policy Evaluationcited by 22
  4. 2021DoWhy: Addressing Challenges in Expressing and Validating Causal Assumptionscited by 20
  5. 2021Auto IV: Counterfactual Prediction via Automatic Instrumental Variable Decompositioncited by 19
  6. 2023Demystifying Causal Features on Adversarial Examples and Causal Inoculation for Robust Network by Adversarial Instrumental Variable Regressioncited by 18
  7. 2022Deep Learning Methods for Proximal Inference via Maximum Moment Restrictioncited by 14
  8. 2023Minimax Instrumental Variable Regression and L2 Convergence Guarantees without Identification or Closednesscited by 13
  9. 2022Inference on Strongly Identified Functionals of Weakly Identified Functionscited by 12
  10. 2022Spectral Representation Learning for Conditional Moment Modelscited by 12
  11. 2023Falsification of Internal and External Validity in Observational Studies via Conditional Moment Restrictionscited by 10
  12. 2023Source Condition Double Robust Inference on Functionals of Inverse Problemscited by 9
22 more
  1. 2022Functional Generalized Empirical Likelihood Estimation for Conditional Moment Restrictionscited by 8
  2. 2024Regularized DeepIV with Model Selectioncited by 7
  3. 2024Nonparametric Instrumental Variable Regression through Stochastic Approximate Gradientscited by 6
  4. 2023Estimation Beyond Data Reweighting: Kernel Method of Momentscited by 5
  5. 2023A Look into Causal Effects under Entangled Treatment in Graphs: Investigating the Impact of Contact on MRSA Infectioncited by 4
  6. 2024Stochastic Optimization Algorithms for Instrumental Variable Regression with Streaming Datacited by 4
  7. 2024Targeted Sequential Indirect Experiment Designcited by 4
  8. 2021Quasi-Bayesian Dual Instrumental Variable Regressioncited by 3
  9. 2024Causal Inference with Complex Treatments: A Surveycited by 3
  10. 2021Adversarial Machine Learning in Text Analysis and Generationcited by 2
  11. 2021Instrument Space Selection for Kernel Maximum Moment Restrictioncited by 2
  12. 2022Adversarial Estimatorscited by 2
  13. 2025An Analysis of Causal Effect Estimation using Outcome Invariant Data Augmentationcited by 2
  14. 2025Outcome-Aware Spectral Feature Learning for Instrumental Variable Regressioncited by 2
  15. 2024Taking a Moment for Distributional Robustnesscited by 1
  16. 2024Geometry-Aware Instrumental Variable Regressioncited by 1
  17. 2025Detecting clinician implicit biases in diagnoses using proximal causal inferencecited by 1
  18. 2025Federated Instrumental Variable Analysis via Federated Generalized Method of Momentscited by 1
  19. 2025Pre-Training Estimators for Structural Models: Application to Consumer Searchcited by 0
  20. 2026Adaptive Estimation and Inference in Conditional Moment Models via the Discrepancy Principlecited by 0
  21. 2026OrthoFormer: Instrumental Variable Estimation in Transformer Hidden States via Neural Control Functionscited by 0
  22. 2026Conformal Prediction for Nonparametric Instrumental Regressioncited by 0