Perfect Match: A Simple Method for Learning Representations For Counterfactual Inference With Neural Networks
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Abstract (arXiv)
Learning representations for counterfactual inference from observational data is of high practical relevance for many domains, such as healthcare, public policy and economics. Counterfactual inference enables one to answer "What if...?" questions, such as "What would be the outcome if we gave this patient treatment t1?". However, current methods for training neural networks for counterfactual inference on observational data are either overly complex, limited to settings with only two available treatments, or both. Here, we present Perfect Match (PM), a method for training neural networks for counterfactual inference that is easy to implement, compatible with any architecture, does not add computational complexity or hyperparameters, and extends to any number of treatments. PM is based on the idea of augmenting samples within a minibatch with their propensity-matched nearest neighbours. Our experiments demonstrate that PM outperforms a number of more complex state-of-the-art methods in inferring counterfactual outcomes across several benchmarks, particularly in settings with many treatments.
Key facts. Cited by 55 papers in the map (data through 7 Oct 2026). First posted on arXiv 1 Oct 2018.
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Citing papers per year: 2021: 11; 2022: 13; 2023: 14; 2024: 7; 2025: 7; 2026: 3.
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- 2021Causal Effect Inference for Structured Treatmentscited by 38
- 2022D'ARTAGNAN: Counterfactual Video Generationcited by 27
- 2022Exploring Transformer Backbones for Heterogeneous Treatment Effect Estimationcited by 25
- 2022Evaluation Methods and Measures for Causal Learning Algorithmscited by 23
- 2022Causal Balancing for Domain Generalizationcited by 20
- 2023Bounds on Representation-Induced Confounding Bias for Treatment Effect Estimationcited by 20
- 2021Estimating Categorical Counterfactuals via Deep Twin Networkscited by 18
- 2021GeneDisco: A Benchmark for Experimental Design in Drug Discoverycited by 18
- 2021VACA: Design of Variational Graph Autoencoders for Interventional and Counterfactual Queriescited by 18
- 2023Towards Causal Foundation Model: on Duality between Causal Inference and Attentioncited by 17
- 2022DESCN: Deep Entire Space Cross Networks for Individual Treatment Effect Estimationcited by 16
- 2021NCoRE: Neural Counterfactual Representation Learning for Combinations of Treatmentscited by 14
38 more
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- 2023Continual Causal Inference with Incremental Observational Datacited by 13
- 2022Deep Causal Learning: Representation, Discovery and Inferencecited by 11
- 2022A Survey of Deep Causal Models and Their Industrial Applicationscited by 10
- 2022Learning Infomax and Domain-Independent Representations for Causal Effect Inference with Real-World Datacited by 9
- 2023Task-Driven Causal Feature Distillation: Towards Trustworthy Risk Predictioncited by 9
- 2021Estimating Potential Outcome Distributions with Collaborating Causal Networkscited by 8
- 2024Continuous Treatment Effect Estimation Using Gradient Interpolation and Kernel Smoothingcited by 7
- 2022Multi-Task Adversarial Learning for Treatment Effect Estimation in Basket Trialscited by 6
- 2021Deep Treatment-Adaptive Network for Causal Inferencecited by 5
- 2022Covariate-Balancing-Aware Interpretable Deep Learning models for Treatment Effect Estimationcited by 5
- 2022Meta-Learners for Estimation of Causal Effects: Finite Sample Cross-Fit Performancecited by 4
- 2023Estimation of individual causal effects in network setup for multiple treatmentscited by 4
- 2025Orthogonal Representation Learning for Estimating Causal Quantitiescited by 4
- 2021Grab the Reins of Crowds: Estimating the Effects of Crowd Movement Guidance Using Causal Inferencecited by 3
- 2022Is More Data All You Need? A Causal Explorationcited by 3
- 2023Pareto Invariant Representation Learning for Multimedia Recommendationcited by 3
- 2024PairNet: Training with Observed Pairs to Estimate Individual Treatment Effectcited by 3
- 2022Improving Data-driven Heterogeneous Treatment Effect Estimation Under Structure Uncertaintycited by 2
- 2023CATE Estimation With Potential Outcome Imputation From Local Regressioncited by 2
- 2024Federated Learning for Estimating Heterogeneous Treatment Effectscited by 2
- 2025KANITE: Kolmogorov-Arnold Networks for ITE estimationcited by 2
- 2025CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networkscited by 2
- 2021Offline Contextual Bandits for Wireless Network Optimizationcited by 1
- 2023Data-Driven Estimation of Heterogeneous Treatment Effectscited by 1
- 2024Treatment-Aware Hyperbolic Representation Learning for Causal Effect Estimation with Social Networkscited by 1
- 2024Ads Supply Personalization via Doubly Robust Learningcited by 1
- 2024Combining Incomplete Observational and Randomized Data for Heterogeneous Treatment Effectscited by 1
- 2026GUSH3R: Everyone Everywhere All at Once as Gaussianscited by 1
- 2021Adaptive Multi-Source Causal Inferencecited by 0
- 2021AI Assurance using Causal Inference: Application to Public Policycited by 0
- 2023De-confounding Representation Learning for Counterfactual Inference on Continuous Treatment via Generative Adversarial Networkcited by 0
- 2023VLUCI: Variational Learning of Unobserved Confounders for Counterfactual Inferencecited by 0
- 2023Does Misclassifying Non-confounding Covariates as Confounders Affect the Causal Inference within the Potential Outcomes Framework?cited by 0
- 2023Using representation balancing to learn conditional-average dose responses from clustered datacited by 0
- 2023Adversarial Distribution Balancing for Counterfactual Reasoningcited by 0
- 2024MiranDa: Mimicking the Learning Processes of Human Doctors to Achieve Causal Inference for Medication Recommendationcited by 0
- 2025Leveraging a Simulator for Learning Causal Representations from Post-Treatment Covariates for CATEcited by 0
50 most cited of 55 All 55 (JSON)
- 2026GUSH3R: Everyone Everywhere All at Once as Gaussians6 Jul 2026
- 2026Do Fair Models Reason Fairly? Counterfactual Explanation Consistency for Procedural Fairness in Credit Decisions12 May 2026
- 2026Causal Representation Learning with Optimal Compression under Complex Treatments12 Mar 2026
- 2025PIPCFR: Pseudo-outcome Imputation with Post-treatment Variables for Individual Treatment Effect Estimation21 Dec 2025
- 2025Cross-Treatment Effect Estimation for Multi-Category, Multi-Valued Causal Inference via Dynamic Neural Masking3 Nov 2025
- 2025CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networks26 Sep 2025
- 2025KANITE: Kolmogorov-Arnold Networks for ITE estimation18 Mar 2025
- 2025Learning Counterfactual Outcomes Under Rank Preservation10 Feb 2025
- 2025Leveraging a Simulator for Learning Causal Representations from Post-Treatment Covariates for CATE7 Feb 2025
- 2025Orthogonal Representation Learning for Estimating Causal Quantities6 Feb 2025
- 2024Combining Incomplete Observational and Randomized Data for Heterogeneous Treatment Effects28 Oct 2024
- 2024Ads Supply Personalization via Doubly Robust Learning29 Sep 2024
38 more
- 2024MiranDa: Mimicking the Learning Processes of Human Doctors to Achieve Causal Inference for Medication Recommendation23 Jul 2024
- 2024PairNet: Training with Observed Pairs to Estimate Individual Treatment Effect6 Jun 2024
- 2024Federated Learning for Estimating Heterogeneous Treatment Effects27 Feb 2024
- 2024Continuous Treatment Effect Estimation Using Gradient Interpolation and Kernel Smoothing27 Jan 2024
- 2024Treatment-Aware Hyperbolic Representation Learning for Causal Effect Estimation with Social Networks12 Jan 2024
- 2023Task-Driven Causal Feature Distillation: Towards Trustworthy Risk Prediction20 Dec 2023
- 2023Estimation of individual causal effects in network setup for multiple treatments18 Dec 2023
- 2023Adversarial Distribution Balancing for Counterfactual Reasoning28 Nov 2023
- 2023Bounds on Representation-Induced Confounding Bias for Treatment Effect Estimation19 Nov 2023
- 2023CATE Estimation With Potential Outcome Imputation From Local Regression7 Nov 2023
- 2023Towards Causal Foundation Model: on Duality between Causal Inference and Attention1 Oct 2023
- 2023Using representation balancing to learn conditional-average dose responses from clustered data7 Sep 2023
- 2023Does Misclassifying Non-confounding Covariates as Confounders Affect the Causal Inference within the Potential Outcomes Framework?22 Aug 2023
- 2023Pareto Invariant Representation Learning for Multimedia Recommendation9 Aug 2023
- 2023VLUCI: Variational Learning of Unobserved Confounders for Counterfactual Inference2 Aug 2023
- 2023De-confounding Representation Learning for Counterfactual Inference on Continuous Treatment via Generative Adversarial Network24 Jul 2023
- 2023Continual Causal Inference with Incremental Observational Data3 Mar 2023
- 2023Causal Effect Estimation: Recent Advances, Challenges, and Opportunities2 Feb 2023
- 2023Data-Driven Estimation of Heterogeneous Treatment Effects16 Jan 2023
- 2022Deep Causal Learning: Representation, Discovery and Inference7 Nov 2022
- 2022A Survey of Deep Causal Models and Their Industrial Applications19 Sep 2022
- 2022DESCN: Deep Entire Space Cross Networks for Individual Treatment Effect Estimation19 Jul 2022
- 2022Improving Data-driven Heterogeneous Treatment Effect Estimation Under Structure Uncertainty25 Jun 2022
- 2022Causal Balancing for Domain Generalization10 Jun 2022
- 2022Is More Data All You Need? A Causal Exploration6 Jun 2022
- 2022D'ARTAGNAN: Counterfactual Video Generation3 Jun 2022
- 2022Multi-Task Adversarial Learning for Treatment Effect Estimation in Basket Trials10 Mar 2022
- 2022Covariate-Balancing-Aware Interpretable Deep Learning models for Treatment Effect Estimation7 Mar 2022
- 2022Learning Infomax and Domain-Independent Representations for Causal Effect Inference with Real-World Data22 Feb 2022
- 2022Evaluation Methods and Measures for Causal Learning Algorithms7 Feb 2022
- 2022Exploring Transformer Backbones for Heterogeneous Treatment Effect Estimation2 Feb 2022
- 2022Meta-Learners for Estimation of Causal Effects: Finite Sample Cross-Fit Performance30 Jan 2022
- 2021Deep Treatment-Adaptive Network for Causal Inference27 Dec 2021
- 2021AI Assurance using Causal Inference: Application to Public Policy1 Dec 2021
- 2021Offline Contextual Bandits for Wireless Network Optimization11 Nov 2021
- 2021VACA: Design of Variational Graph Autoencoders for Interventional and Counterfactual Queries27 Oct 2021
- 2021GeneDisco: A Benchmark for Experimental Design in Drug Discovery22 Oct 2021
- 2021Estimating Potential Outcome Distributions with Collaborating Causal Networks4 Oct 2021
50 newest of 55 All 55 (JSON)
- 2021Causal Effect Inference for Structured Treatmentscited by 38
- 2022D'ARTAGNAN: Counterfactual Video Generationcited by 27
- 2022Exploring Transformer Backbones for Heterogeneous Treatment Effect Estimationcited by 25
- 2022Evaluation Methods and Measures for Causal Learning Algorithmscited by 23
- 2022Causal Balancing for Domain Generalizationcited by 20
- 2023Bounds on Representation-Induced Confounding Bias for Treatment Effect Estimationcited by 20
- 2021Estimating Categorical Counterfactuals via Deep Twin Networkscited by 18
- 2021GeneDisco: A Benchmark for Experimental Design in Drug Discoverycited by 18
- 2021VACA: Design of Variational Graph Autoencoders for Interventional and Counterfactual Queriescited by 18
- 2023Towards Causal Foundation Model: on Duality between Causal Inference and Attentioncited by 17
- 2022DESCN: Deep Entire Space Cross Networks for Individual Treatment Effect Estimationcited by 16
- 2021NCoRE: Neural Counterfactual Representation Learning for Combinations of Treatmentscited by 14
12 most cited of 55 All 55 (JSON)
- 2026GUSH3R: Everyone Everywhere All at Once as Gaussians6 Jul 2026
- 2026Do Fair Models Reason Fairly? Counterfactual Explanation Consistency for Procedural Fairness in Credit Decisions12 May 2026
- 2026Causal Representation Learning with Optimal Compression under Complex Treatments12 Mar 2026
- 2025PIPCFR: Pseudo-outcome Imputation with Post-treatment Variables for Individual Treatment Effect Estimation21 Dec 2025
- 2025Cross-Treatment Effect Estimation for Multi-Category, Multi-Valued Causal Inference via Dynamic Neural Masking3 Nov 2025
- 2025CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networks26 Sep 2025
- 2025KANITE: Kolmogorov-Arnold Networks for ITE estimation18 Mar 2025
- 2025Learning Counterfactual Outcomes Under Rank Preservation10 Feb 2025
- 2025Leveraging a Simulator for Learning Causal Representations from Post-Treatment Covariates for CATE7 Feb 2025
- 2025Orthogonal Representation Learning for Estimating Causal Quantities6 Feb 2025
- 2024Combining Incomplete Observational and Randomized Data for Heterogeneous Treatment Effects28 Oct 2024
- 2024Ads Supply Personalization via Doubly Robust Learning29 Sep 2024
12 newest of 55 All 55 (JSON)