Adversarial Estimation of Riesz Representers
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Abstract (arXiv)
Many causal parameters are linear functionals of an underlying regression. The Riesz representer is a key component in the asymptotic variance of a semiparametrically estimated linear functional. We propose an adversarial framework to estimate the Riesz representer using general function spaces. We prove a nonasymptotic mean square rate in terms of an abstract quantity called the critical radius, then specialize it for neural networks, random forests, and reproducing kernel Hilbert spaces as leading cases. Our estimators are highly compatible with targeted and debiased machine learning with sample splitting; our guarantees directly verify general conditions for inference that allow mis-specification. We also use our guarantees to prove inference without sample splitting, based on stability or complexity. Our estimators achieve nominal coverage in highly nonlinear simulations where some previous methods break down. They shed new light on the heterogeneous effects of matching grants.
Key facts. Cited by 34 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 Dec 2020.
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Citing papers per year: 2021: 6; 2022: 10; 2023: 5; 2024: 5; 2025: 5; 2026: 3.
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- 2022A Review of Off-Policy Evaluation in Reinforcement Learningcited by 92
- 2021Causal Inference Under Unmeasured Confounding With Negative Controls: A Minimax Learning Approachcited by 43
- 2021RieszNet and ForestRiesz: Automatic Debiased Machine Learning with Neural Nets and Random Forestscited by 42
- 2022Pessimism in the Face of Confounders: Provably Efficient Offline Reinforcement Learning in Partially Observable Markov Decision Processescited by 26
- 2021Minimax Kernel Machine Learning for a Class of Doubly Robust Functionals with Application to Proximal Causal Inferencecited by 20
- 2022Future-Dependent Value-Based Off-Policy Evaluation in POMDPscited by 20
- 2022Debiased Machine Learning without Sample-Splitting for Stable Estimatorscited by 13
- 2022Inference on Strongly Identified Functionals of Weakly Identified Functionscited by 12
- 2022DeepMed: Semiparametric Causal Mediation Analysis with Debiased Deep Learningcited by 10
- 2022Instrumental Variables in Causal Inference and Machine Learning: A Surveycited by 10
- 2021A Simple and General Debiased Machine Learning Theorem with Finite Sample Guaranteescited by 9
- 2023Source Condition Double Robust Inference on Functionals of Inverse Problemscited by 8
22 more
- 2021Learning Causal Models from Conditional Moment Restrictions by Importance Weightingcited by 7
- 2023Proximal Causal Learning of Conditional Average Treatment Effectscited by 7
- 2024Causality Pursuit from Heterogeneous Environments via Neural Adversarial Invariance Learningcited by 7
- 2021Kernel Ridge Riesz Representers: Generalization, Mis-specification, and the Counterfactual Effective Dimensioncited by 5
- 2024Semi-Supervised U-statisticscited by 5
- 2023Inference on Optimal Dynamic Policies via Softmax Approximationcited by 3
- 2026Optimally taming biases in black-box models for efficient semiparametric estimationcited by 3
- 2022Adversarial Estimatorscited by 2
- 2023Assumption-lean falsification tests of rate double-robustness of double-machine-learning estimatorscited by 2
- 2024Automatic debiasing of neural networks via moment-constrained learningcited by 2
- 2024Program Evaluation with Remotely Sensed Outcomescited by 2
- 2022Data-Driven Influence Functions for Optimization-Based Causal Inferencecited by 1
- 2022Inference on Time Series Nonparametric Conditional Moment Restrictions Using General Sievescited by 1
- 2024A Mean-Field Analysis of Neural Stochastic Gradient Descent-Ascent for Functional Minimax Optimizationcited by 1
- 2025Preference Learning with Response Time: Robust Losses and Guaranteescited by 1
- 2026Optimal use of a black-box learner in semiparametric estimationcited by 1
- 2023Multiply Robust Estimator Circumvents Hyperparameter Tuning of Neural Network Models in Causal Inferencecited by 0
- 2025Machine learning the first stage in 2SLS: Practical guidance from bias decomposition and simulationcited by 0
- 2025CausalSent: Interpretable Sentiment Classification with RieszNetcited by 0
- 2025Latent Variable Modeling for Robust Causal Effect Estimationcited by 0
- 2025Learning density ratios in causal inference using Bregman-Riesz regressioncited by 0
- 2026Automatic debiased machine learning and sensitivity analysis for sample selection modelscited by 0
- 2026Optimal use of a black-box learner in semiparametric estimation23 Jul 2026
- 2026Optimally taming biases in black-box models for efficient semiparametric estimation4 Jun 2026
- 2026Automatic debiased machine learning and sensitivity analysis for sample selection models13 Jan 2026
- 2025Learning density ratios in causal inference using Bregman-Riesz regression17 Oct 2025
- 2025Latent Variable Modeling for Robust Causal Effect Estimation27 Aug 2025
- 2025CausalSent: Interpretable Sentiment Classification with RieszNet25 Aug 2025
- 2025Preference Learning with Response Time: Robust Losses and Guarantees28 May 2025
- 2025Machine learning the first stage in 2SLS: Practical guidance from bias decomposition and simulation19 May 2025
- 2024Program Evaluation with Remotely Sensed Outcomes17 Nov 2024
- 2024Automatic debiasing of neural networks via moment-constrained learning29 Sep 2024
- 2024Causality Pursuit from Heterogeneous Environments via Neural Adversarial Invariance Learning7 May 2024
- 2024A Mean-Field Analysis of Neural Stochastic Gradient Descent-Ascent for Functional Minimax Optimization18 Apr 2024
22 more
- 2024Semi-Supervised U-statistics29 Feb 2024
- 2023Source Condition Double Robust Inference on Functionals of Inverse Problems25 Jul 2023
- 2023Multiply Robust Estimator Circumvents Hyperparameter Tuning of Neural Network Models in Causal Inference20 Jul 2023
- 2023Assumption-lean falsification tests of rate double-robustness of double-machine-learning estimators18 Jun 2023
- 2023Inference on Optimal Dynamic Policies via Softmax Approximation8 Mar 2023
- 2023Proximal Causal Learning of Conditional Average Treatment Effects26 Jan 2023
- 2022Inference on Time Series Nonparametric Conditional Moment Restrictions Using General Sieves31 Dec 2022
- 2022A Review of Off-Policy Evaluation in Reinforcement Learning13 Dec 2022
- 2022Instrumental Variables in Causal Inference and Machine Learning: A Survey12 Dec 2022
- 2022DeepMed: Semiparametric Causal Mediation Analysis with Debiased Deep Learning10 Oct 2022
- 2022Data-Driven Influence Functions for Optimization-Based Causal Inference29 Aug 2022
- 2022Inference on Strongly Identified Functionals of Weakly Identified Functions17 Aug 2022
- 2022Future-Dependent Value-Based Off-Policy Evaluation in POMDPs26 Jul 2022
- 2022Debiased Machine Learning without Sample-Splitting for Stable Estimators3 Jun 2022
- 2022Pessimism in the Face of Confounders: Provably Efficient Offline Reinforcement Learning in Partially Observable Markov Decision Processes26 May 2022
- 2022Adversarial Estimators22 Apr 2022
- 2021RieszNet and ForestRiesz: Automatic Debiased Machine Learning with Neural Nets and Random Forests6 Oct 2021
- 2021Learning Causal Models from Conditional Moment Restrictions by Importance Weighting3 Aug 2021
- 2021A Simple and General Debiased Machine Learning Theorem with Finite Sample Guarantees31 May 2021
- 2021Minimax Kernel Machine Learning for a Class of Doubly Robust Functionals with Application to Proximal Causal Inference7 Apr 2021
- 2021Causal Inference Under Unmeasured Confounding With Negative Controls: A Minimax Learning Approach25 Mar 2021
- 2021Kernel Ridge Riesz Representers: Generalization, Mis-specification, and the Counterfactual Effective Dimension22 Feb 2021
- 2022A Review of Off-Policy Evaluation in Reinforcement Learningcited by 92
- 2021Causal Inference Under Unmeasured Confounding With Negative Controls: A Minimax Learning Approachcited by 43
- 2021RieszNet and ForestRiesz: Automatic Debiased Machine Learning with Neural Nets and Random Forestscited by 42
- 2021Minimax Kernel Machine Learning for a Class of Doubly Robust Functionals with Application to Proximal Causal Inferencecited by 20
- 2022Future-Dependent Value-Based Off-Policy Evaluation in POMDPscited by 20
- 2022Debiased Machine Learning without Sample-Splitting for Stable Estimatorscited by 13
- 2022Inference on Strongly Identified Functionals of Weakly Identified Functionscited by 12
- 2022DeepMed: Semiparametric Causal Mediation Analysis with Debiased Deep Learningcited by 10
- 2022Instrumental Variables in Causal Inference and Machine Learning: A Surveycited by 10
- 2021A Simple and General Debiased Machine Learning Theorem with Finite Sample Guaranteescited by 9
- 2023Source Condition Double Robust Inference on Functionals of Inverse Problemscited by 8
- 2021Learning Causal Models from Conditional Moment Restrictions by Importance Weightingcited by 7
12 most cited of 32 All 32 (JSON)
- 2026Optimal use of a black-box learner in semiparametric estimation23 Jul 2026
- 2026Optimally taming biases in black-box models for efficient semiparametric estimation4 Jun 2026
- 2026Automatic debiased machine learning and sensitivity analysis for sample selection models13 Jan 2026
- 2025Learning density ratios in causal inference using Bregman-Riesz regression17 Oct 2025
- 2025Latent Variable Modeling for Robust Causal Effect Estimation27 Aug 2025
- 2025CausalSent: Interpretable Sentiment Classification with RieszNet25 Aug 2025
- 2025Machine learning the first stage in 2SLS: Practical guidance from bias decomposition and simulation19 May 2025
- 2024Program Evaluation with Remotely Sensed Outcomes17 Nov 2024
- 2024Automatic debiasing of neural networks via moment-constrained learning29 Sep 2024
- 2024Causality Pursuit from Heterogeneous Environments via Neural Adversarial Invariance Learning7 May 2024
- 2024A Mean-Field Analysis of Neural Stochastic Gradient Descent-Ascent for Functional Minimax Optimization18 Apr 2024
- 2024Semi-Supervised U-statistics29 Feb 2024
12 newest of 32 All 32 (JSON)