Discussion on "Bayesian Regression Tree Models for Causal Inference: Regularization, Confounding, and Heterogeneous Effects" by Hahn, Murray and Carvalho
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Abstract (arXiv)
Hahn et al. (2020) offers an extensive study to explicate and evaluate the performance of the BCF model in different settings and provides a detailed discussion about its utility in causal inference. It is a welcomed addition to the causal machine learning literature. I will emphasize the contribution of the BCF model to the field of causal inference through discussions on two topics: 1) the difference between the PS in the BCF model and the Bayesian PS in a Bayesian updating approach, 2) an alternative exposition of the role of the PS in outcome modeling based methods for the estimation of causal effects. I will conclude with comments on avenues for future research involving BCF that will be important and much needed in the era of Big data.
Key facts. Cited by 77 papers in the map (data through 7 Oct 2026). First posted on arXiv 5 Aug 2021.
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Citing papers per year: 2021: 3; 2022: 16; 2023: 16; 2024: 16; 2025: 14; 2026: 12.
77 papers.
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- 2025CausalPFN: Amortized Causal Effect Estimation via In-Context Learningcited by 43
- 2023In Search of Insights, Not Magic Bullets: Towards Demystification of the Model Selection Dilemma in Heterogeneous Treatment Effect Estimationcited by 29
- 2021SurvITE: Learning Heterogeneous Treatment Effects from Time-to-Event Datacited by 25
- 2022Evaluation Methods and Measures for Causal Learning Algorithmscited by 23
- 2023Conformal Meta-learners for Predictive Inference of Individual Treatment Effectscited by 23
- 2022Robust and Agnostic Learning of Conditional Distributional Treatment Effectscited by 18
- 2022Comparison of meta-learners for estimating multi-valued treatment heterogeneous effectscited by 10
- 2022A Survey of Deep Causal Models and Their Industrial Applicationscited by 10
- 2023An Efficient Doubly-Robust Test for the Kernel Treatment Effectcited by 10
- 2025TabPFN: One Model to Rule Them All?cited by 10
- 2021Estimating Potential Outcome Distributions with Collaborating Causal Networkscited by 8
- 2022Generalized Bayesian Additive Regression Trees Models: Beyond Conditional Conjugacycited by 8
38 more
- 2021Identifiable Energy-based Representations: An Application to Estimating Heterogeneous Causal Effectscited by 7
- 2022Stochastic Tree Ensembles for Estimating Heterogeneous Effectscited by 7
- 2022A Mixing Time Lower Bound for a Simplified Version of BARTcited by 7
- 2023Proximal Causal Learning of Conditional Average Treatment Effectscited by 7
- 2022Covariate-Balancing-Aware Interpretable Deep Learning models for Treatment Effect Estimationcited by 5
- 2024Minimax Regret Estimation for Generalizing Heterogeneous Treatment Effects with Multisite Datacited by 5
- 2022Meta-Learners for Estimation of Causal Effects: Finite Sample Cross-Fit Performancecited by 4
- 2023Bayesian Safe Policy Learning with Chance Constrained Optimization: Application to Military Security Assessment during the Vietnam Warcited by 4
- 2023Uncertainty Quantification in Heterogeneous Treatment Effect Estimation with Gaussian-Process-Based Partially Linear Modelcited by 4
- 2025Hybrid Meta-learners for Estimating Heterogeneous Treatment Effectscited by 4
- 2022GCF: Generalized Causal Forest for Heterogeneous Treatment Effect Estimation in Online Marketplacecited by 3
- 2023Assisting Clinical Decisions for Scarcely Available Treatment via Disentangled Latent Representationcited by 3
- 2024Practical Marketplace Optimization at Uber Using Causally-Informed Machine Learningcited by 3
- 2022Hierarchical Embedded Bayesian Additive Regression Treescited by 2
- 2022Doubly Robust Kernel Statistics for Testing Distributional Treatment Effectscited by 2
- 2022Heterogeneous Synthetic Learner for Panel Datacited by 2
- 2023Fairness Implications of Heterogeneous Treatment Effect Estimation with Machine Learning Methods in Policy-makingcited by 2
- 2023Transparency challenges in policy evaluation with causal machine learning -- improving usability and accountabilitycited by 2
- 2023CATE Lasso: Conditional Average Treatment Effect Estimation with High-Dimensional Linear Regressioncited by 2
- 2024Unveiling the Potential of Robustness in Selecting Conditional Average Treatment Effect Estimatorscited by 2
- 2024DISCRET: Synthesizing Faithful Explanations For Treatment Effect Estimationcited by 2
- 2024Estimating Heterogeneous Treatment Effects by Combining Weak Instruments and Observational Datacited by 2
- 2024Is merging worth it? Securely evaluating the information gain for causal dataset acquisitioncited by 2
- 2024Interventional Processes for Causal Uncertainty Quantificationcited by 2
- 2025Frugal, Flexible, Faithful: Causal Data Simulation via Frengressioncited by 2
- 2025Causal-EPIG: A Prediction-Oriented Active Learning Framework for CATE Estimationcited by 2
- 2022Benign-Overfitting in Conditional Average Treatment Effect Prediction with Linear Regressioncited by 1
- 2022A Double Machine Learning Trend Model for Citizen Science Datacited by 1
- 2022SoftBart: Soft Bayesian Additive Regression Treescited by 1
- 2023Bayesian Causal Forests for Multivariate Outcomes: Application to Irish Data From an International Large Scale Education Assessmentcited by 1
- 2023Matched Machine Learning: A Generalized Framework for Treatment Effect Inference With Learned Metricscited by 1
- 2023Safe and Interpretable Estimation of Optimal Treatment Regimescited by 1
- 2023A Review and Roadmap of Deep Causal Model from Different Causal Structures and Representationscited by 1
- 2023Causal inference with Machine Learning-Based Covariate Representationcited by 1
- 2024A flexible Bayesian g-formula for causal survival analyses with time-dependent confoundingcited by 1
- 2024Deep Learning for Causal Inference: A Comparison of Architectures for Heterogeneous Treatment Effect Estimationcited by 1
- 2024Ranking Perspective for Tree-based Methods with Applications to Symbolic Feature Selectioncited by 1
- 2024Ablation Studies for Novel Treatment Effect Estimation Modelscited by 1
50 most cited of 77 All 77 (JSON)
- 2026Graph-Split Bayesian Causal Forest for Spatial Heterogeneous Treatment Effect Estimation28 Sep 2026
- 2026From Unsupervised Subgroups to Hypothetical State-Intervention Policies: An Evaluation of Selected Subgrouping Methods in Observational Health Data29 Jul 2026
- 2026Two Layers of Instability in Causal Estimation19 Jun 2026
- 2026From Tokens to Policy: Causal and Interpretable Heterogeneous Treatment Effects Identification15 Jun 2026
- 2026Flaws in the LLM Automation Narrative9 Jun 2026
- 2026Transfer learning for causal forest5 Jun 2026
- 2026Calibrated Inference for the Conditional Average Treatment Effect in the Few-Placebo Regime via Gaussian Processes26 May 2026
- 2026Bayesian Additive Distribution Regression6 Mar 2026
- 2026How important are the genes to explain the outcome - the asymmetric Shapley value as an honest importance metric for high-dimensional features5 Mar 2026
- 2026Direct Bayesian Additive Regression Trees for Conditional Average Treatment Effects in Regression Discontinuity Designs4 Mar 2026
- 2026Observationally Informed Adaptive Causal Experimental Design4 Mar 2026
- 2026Controllable Generative Sandbox for Causal Inference3 Mar 2026
38 more
- 2025Learning Subgroups with Maximum Treatment Effects without Causal Heuristics25 Nov 2025
- 2025An Infinite BART model25 Nov 2025
- 2025Bayesian Semiparametric Causal Inference: Targeted Doubly Robust Estimation of Treatment Effects19 Nov 2025
- 2025Causal-EPIG: A Prediction-Oriented Active Learning Framework for CATE Estimation26 Sep 2025
- 2025Improving Generative Methods for Causal Evaluation via Simulation-Based Inference2 Sep 2025
- 2025Frugal, Flexible, Faithful: Causal Data Simulation via Frengression1 Aug 2025
- 2025Hybrid Meta-learners for Estimating Heterogeneous Treatment Effects16 Jun 2025
- 2025CausalPFN: Amortized Causal Effect Estimation via In-Context Learning9 Jun 2025
- 2025TabPFN: One Model to Rule Them All?26 May 2025
- 2025A Cautionary Tale on Integrating Studies with Disparate Outcome Measures for Causal Inference16 May 2025
- 2025Forests for Differences: Robust Causal Inference Beyond Parametric DiD14 May 2025
- 2025Extended Fiducial Inference for Individual Treatment Effects via Deep Neural Networks4 May 2025
- 2025Overview and practical recommendations on using Shapley Values for identifying predictive biomarkers via CATE modeling2 May 2025
- 2025Generative Learner for Distributional Causal Effects23 Mar 2025
- 2024Minimax Regret Estimation for Generalizing Heterogeneous Treatment Effects with Multisite Data15 Dec 2024
- 2024Ablation Studies for Novel Treatment Effect Estimation Models21 Oct 2024
- 2024Interventional Processes for Causal Uncertainty Quantification18 Oct 2024
- 2024Ranking Perspective for Tree-based Methods with Applications to Symbolic Feature Selection3 Oct 2024
- 2024Is merging worth it? Securely evaluating the information gain for causal dataset acquisition11 Sep 2024
- 2024Heterogeneous Treatment Effect Estimation under Noncompliance in the Illinois Workplace Wellness Study with Bayesian Tree Ensembles14 Aug 2024
- 2024Practical Marketplace Optimization at Uber Using Causally-Informed Machine Learning26 Jul 2024
- 2024Bayesian Causal Forests for Longitudinal Data: Assessing the Impact of Part-Time Work on Growth in High School Mathematics Achievement16 Jul 2024
- 2024Estimating Heterogeneous Treatment Effects by Combining Weak Instruments and Observational Data10 Jun 2024
- 2024DISCRET: Synthesizing Faithful Explanations For Treatment Effect Estimation2 Jun 2024
- 2024Deep Learning for Causal Inference: A Comparison of Architectures for Heterogeneous Treatment Effect Estimation6 May 2024
- 2024A Causal Analysis of CO2 Reduction Strategies in Electricity Markets Through Machine Learning-Driven Metalearners21 Mar 2024
- 2024Triple/Debiased Lasso for Statistical Inference of Conditional Average Treatment Effects5 Mar 2024
- 2024Unveiling the Potential of Robustness in Selecting Conditional Average Treatment Effect Estimators28 Feb 2024
- 2024A flexible Bayesian g-formula for causal survival analyses with time-dependent confounding4 Feb 2024
- 2024Individualized Multi-Treatment Response Curves Estimation using RBF-net with Shared Neurons29 Jan 2024
- 2023Uncertainty Quantification in Heterogeneous Treatment Effect Estimation with Gaussian-Process-Based Partially Linear Model16 Dec 2023
- 2023Causal inference with Machine Learning-Based Covariate Representation3 Nov 2023
- 2023A Review and Roadmap of Deep Causal Model from Different Causal Structures and Representations2 Nov 2023
- 2023CATE Lasso: Conditional Average Treatment Effect Estimation with High-Dimensional Linear Regression25 Oct 2023
- 2023Safe and Interpretable Estimation of Optimal Treatment Regimes23 Oct 2023
- 2023Transparency challenges in policy evaluation with causal machine learning -- improving usability and accountability20 Oct 2023
- 2023Fairness Implications of Heterogeneous Treatment Effect Estimation with Machine Learning Methods in Policy-making2 Sep 2023
- 2023Conformal Meta-learners for Predictive Inference of Individual Treatment Effects28 Aug 2023
50 newest of 77 All 77 (JSON)
- 2025CausalPFN: Amortized Causal Effect Estimation via In-Context Learningcited by 43
- 2023In Search of Insights, Not Magic Bullets: Towards Demystification of the Model Selection Dilemma in Heterogeneous Treatment Effect Estimationcited by 29
- 2021SurvITE: Learning Heterogeneous Treatment Effects from Time-to-Event Datacited by 25
- 2022Evaluation Methods and Measures for Causal Learning Algorithmscited by 23
- 2023Conformal Meta-learners for Predictive Inference of Individual Treatment Effectscited by 23
- 2022Robust and Agnostic Learning of Conditional Distributional Treatment Effectscited by 18
- 2022Comparison of meta-learners for estimating multi-valued treatment heterogeneous effectscited by 10
- 2022A Survey of Deep Causal Models and Their Industrial Applicationscited by 10
- 2023An Efficient Doubly-Robust Test for the Kernel Treatment Effectcited by 10
- 2025TabPFN: One Model to Rule Them All?cited by 10
- 2021Estimating Potential Outcome Distributions with Collaborating Causal Networkscited by 8
- 2022Generalized Bayesian Additive Regression Trees Models: Beyond Conditional Conjugacycited by 8
12 most cited of 77 All 77 (JSON)
- 2026Graph-Split Bayesian Causal Forest for Spatial Heterogeneous Treatment Effect Estimation28 Sep 2026
- 2026From Unsupervised Subgroups to Hypothetical State-Intervention Policies: An Evaluation of Selected Subgrouping Methods in Observational Health Data29 Jul 2026
- 2026Two Layers of Instability in Causal Estimation19 Jun 2026
- 2026From Tokens to Policy: Causal and Interpretable Heterogeneous Treatment Effects Identification15 Jun 2026
- 2026Flaws in the LLM Automation Narrative9 Jun 2026
- 2026Transfer learning for causal forest5 Jun 2026
- 2026Calibrated Inference for the Conditional Average Treatment Effect in the Few-Placebo Regime via Gaussian Processes26 May 2026
- 2026Bayesian Additive Distribution Regression6 Mar 2026
- 2026How important are the genes to explain the outcome - the asymmetric Shapley value as an honest importance metric for high-dimensional features5 Mar 2026
- 2026Direct Bayesian Additive Regression Trees for Conditional Average Treatment Effects in Regression Discontinuity Designs4 Mar 2026
- 2026Observationally Informed Adaptive Causal Experimental Design4 Mar 2026
- 2026Controllable Generative Sandbox for Causal Inference3 Mar 2026
12 newest of 77 All 77 (JSON)