Using Embeddings to Correct for Unobserved Confounding in Networks
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Abstract (arXiv)
We consider causal inference in the presence of unobserved confounding. We study the case where a proxy is available for the unobserved confounding in the form of a network connecting the units. For example, the link structure of a social network carries information about its members. We show how to effectively use the proxy to do causal inference. The main idea is to reduce the causal estimation problem to a semi-supervised prediction of both the treatments and outcomes. Networks admit high-quality embedding models that can be used for this semi-supervised prediction. We show that the method yields valid inferences under suitable (weak) conditions on the quality of the predictive model. We validate the method with experiments on a semi-synthetic social network dataset. Code is available at github.com/vveitch/causal-network-embeddings.
Key facts. Cited by 31 papers in the map (data through 7 Oct 2026). First posted on arXiv 11 Feb 2019.
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Citing papers per year: 2021: 7; 2022: 6; 2023: 4; 2024: 8; 2025: 3; 2026: 3.
31 papers.
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- 2021Desiderata for Representation Learning: A Causal Perspectivecited by 76
- 2021Graph Infomax Adversarial Learning for Treatment Effect Estimation with Networked Observational Datacited by 42
- 2024Doubly Robust Causal Effect Estimation under Networked Interference via Targeted Learningcited by 19
- 2023CF-GODE: Continuous-Time Causal Inference for Multi-Agent Dynamical Systemscited by 16
- 2022Deep Multi-Modal Structural Equations For Causal Effect Estimation With Unstructured Proxiescited by 13
- 2022Learning Individual Treatment Effects under Heterogeneous Interference in Networkscited by 11
- 2023Generalization bound for estimating causal effects from observational network datacited by 11
- 2021Intact-VAE: Estimating Treatment Effects under Unobserved Confoundingcited by 10
- 2021Asymptotics of Network Embeddings Learned via Subsamplingcited by 10
- 2022Using Embeddings for Causal Estimation of Peer Influence in Social Networkscited by 9
- 2021β-Intact-VAE: Identifying and Estimating Causal Effects under Limited Overlapcited by 8
- 2022Heterogeneous Peer Effects in the Linear Threshold Modelcited by 5
19 more
- 2022Estimating Social Influence from Observational Datacited by 5
- 2024Two-way Deconfounder for Off-policy Evaluation in Causal Reinforcement Learningcited by 5
- 2021Towards Principled Causal Effect Estimation by Deep Identifiable Modelscited by 4
- 2022Heterogeneous Treatment Effect with Trained Kernels of the Nadaraya-Watson Regressioncited by 4
- 2024Graph Machine Learning based Doubly Robust Estimator for Network Causal Effectscited by 4
- 2023SpaCE: The Spatial Confounding Environmentcited by 3
- 2024Uplift Modeling Under Limited Supervisioncited by 3
- 2024Self-Distilled Disentangled Learning for Counterfactual Predictioncited by 3
- 2025Adjustment for Confounding using Pre-Trained Representationscited by 3
- 2024Graph Neural Network with Two Uplift Estimators for Label-Scarcity Individual Uplift Modelingcited by 2
- 2023Contagion Effect Estimation Using Proximal Embeddingscited by 1
- 2024Treatment-Aware Hyperbolic Representation Learning for Causal Effect Estimation with Social Networkscited by 1
- 2025C-HDNet: Hyperdimensional Computing for Causal Effect Estimation from Observational Data Under Network Interferencecited by 1
- 2026Evaluating Uplift Modeling under Structural Biases: Insights into Metric Stability and Model Robustnesscited by 1
- 2021Adaptive Multi-Source Causal Inferencecited by 0
- 2024Disentangled Graph Autoencoder for Treatment Effect Estimationcited by 0
- 2025Population-Scale Network Embeddings Expose Educational Divides in Network Structure Related to Right-Wing Populist Votingcited by 0
- 2026Treatment Effect Estimation with Differentiated Networked Effect on Graph Datacited by 0
- 2026Shrinkage priors for Bayesian Substitute Confounderscited by 0
- 2026Shrinkage priors for Bayesian Substitute Confounders16 Jun 2026
- 2026Treatment Effect Estimation with Differentiated Networked Effect on Graph Data23 May 2026
- 2026Evaluating Uplift Modeling under Structural Biases: Insights into Metric Stability and Model Robustness21 Mar 2026
- 2025Population-Scale Network Embeddings Expose Educational Divides in Network Structure Related to Right-Wing Populist Voting28 Aug 2025
- 2025Adjustment for Confounding using Pre-Trained Representations17 Jun 2025
- 2025C-HDNet: Hyperdimensional Computing for Causal Effect Estimation from Observational Data Under Network Interference27 Jan 2025
- 2024Disentangled Graph Autoencoder for Treatment Effect Estimation19 Dec 2024
- 2024Two-way Deconfounder for Off-policy Evaluation in Causal Reinforcement Learning8 Dec 2024
- 2024Self-Distilled Disentangled Learning for Counterfactual Prediction9 Jun 2024
- 2024Doubly Robust Causal Effect Estimation under Networked Interference via Targeted Learning6 May 2024
- 2024Uplift Modeling Under Limited Supervision28 Mar 2024
- 2024Graph Machine Learning based Doubly Robust Estimator for Network Causal Effects17 Mar 2024
19 more
- 2024Graph Neural Network with Two Uplift Estimators for Label-Scarcity Individual Uplift Modeling11 Mar 2024
- 2024Treatment-Aware Hyperbolic Representation Learning for Causal Effect Estimation with Social Networks12 Jan 2024
- 2023SpaCE: The Spatial Confounding Environment1 Dec 2023
- 2023Generalization bound for estimating causal effects from observational network data8 Aug 2023
- 2023CF-GODE: Continuous-Time Causal Inference for Multi-Agent Dynamical Systems20 Jun 2023
- 2023Contagion Effect Estimation Using Proximal Embeddings4 Jun 2023
- 2022Learning Individual Treatment Effects under Heterogeneous Interference in Networks25 Oct 2022
- 2022Heterogeneous Treatment Effect with Trained Kernels of the Nadaraya-Watson Regression19 Jul 2022
- 2022Using Embeddings for Causal Estimation of Peer Influence in Social Networks17 May 2022
- 2022Estimating Social Influence from Observational Data24 Mar 2022
- 2022Deep Multi-Modal Structural Equations For Causal Effect Estimation With Unstructured Proxies18 Mar 2022
- 2022Heterogeneous Peer Effects in the Linear Threshold Model27 Jan 2022
- 2021β-Intact-VAE: Identifying and Estimating Causal Effects under Limited Overlap11 Oct 2021
- 2021Towards Principled Causal Effect Estimation by Deep Identifiable Models30 Sep 2021
- 2021Desiderata for Representation Learning: A Causal Perspective8 Sep 2021
- 2021Asymptotics of Network Embeddings Learned via Subsampling6 Jul 2021
- 2021Graph Infomax Adversarial Learning for Treatment Effect Estimation with Networked Observational Data5 Jun 2021
- 2021Adaptive Multi-Source Causal Inference31 May 2021
- 2021Intact-VAE: Estimating Treatment Effects under Unobserved Confounding17 Jan 2021
- 2021Desiderata for Representation Learning: A Causal Perspectivecited by 76
- 2021Graph Infomax Adversarial Learning for Treatment Effect Estimation with Networked Observational Datacited by 42
- 2024Doubly Robust Causal Effect Estimation under Networked Interference via Targeted Learningcited by 19
- 2023CF-GODE: Continuous-Time Causal Inference for Multi-Agent Dynamical Systemscited by 16
- 2022Deep Multi-Modal Structural Equations For Causal Effect Estimation With Unstructured Proxiescited by 13
- 2022Learning Individual Treatment Effects under Heterogeneous Interference in Networkscited by 11
- 2023Generalization bound for estimating causal effects from observational network datacited by 11
- 2021Intact-VAE: Estimating Treatment Effects under Unobserved Confoundingcited by 10
- 2021Asymptotics of Network Embeddings Learned via Subsamplingcited by 10
- 2022Using Embeddings for Causal Estimation of Peer Influence in Social Networkscited by 9
- 2021β-Intact-VAE: Identifying and Estimating Causal Effects under Limited Overlapcited by 8
- 2022Heterogeneous Peer Effects in the Linear Threshold Modelcited by 5
12 most cited of 31 All 31 (JSON)
- 2026Shrinkage priors for Bayesian Substitute Confounders16 Jun 2026
- 2026Treatment Effect Estimation with Differentiated Networked Effect on Graph Data23 May 2026
- 2026Evaluating Uplift Modeling under Structural Biases: Insights into Metric Stability and Model Robustness21 Mar 2026
- 2025Population-Scale Network Embeddings Expose Educational Divides in Network Structure Related to Right-Wing Populist Voting28 Aug 2025
- 2025Adjustment for Confounding using Pre-Trained Representations17 Jun 2025
- 2025C-HDNet: Hyperdimensional Computing for Causal Effect Estimation from Observational Data Under Network Interference27 Jan 2025
- 2024Disentangled Graph Autoencoder for Treatment Effect Estimation19 Dec 2024
- 2024Two-way Deconfounder for Off-policy Evaluation in Causal Reinforcement Learning8 Dec 2024
- 2024Self-Distilled Disentangled Learning for Counterfactual Prediction9 Jun 2024
- 2024Doubly Robust Causal Effect Estimation under Networked Interference via Targeted Learning6 May 2024
- 2024Uplift Modeling Under Limited Supervision28 Mar 2024
- 2024Graph Machine Learning based Doubly Robust Estimator for Network Causal Effects17 Mar 2024
12 newest of 31 All 31 (JSON)