Sharp Bounds for Generalized Causal Sensitivity Analysis
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Abstract (arXiv)
Causal inference from observational data is crucial for many disciplines such as medicine and economics. However, sharp bounds for causal effects under relaxations of the unconfoundedness assumption (causal sensitivity analysis) are subject to ongoing research. So far, works with sharp bounds are restricted to fairly simple settings (e.g., a single binary treatment). In this paper, we propose a unified framework for causal sensitivity analysis under unobserved confounding in various settings. For this, we propose a flexible generalization of the marginal sensitivity model (MSM) and then derive sharp bounds for a large class of causal effects. This includes (conditional) average treatment effects, effects for mediation analysis and path analysis, and distributional effects. Furthermore, our sensitivity model is applicable to discrete, continuous, and time-varying treatments. It allows us to interpret the partial identification problem under unobserved confounding as a distribution shift in the latent confounders while evaluating the causal effect of interest. In the special case of a single binary treatment, our bounds for (conditional) average treatment effects coincide with recent optimality results for causal sensitivity analysis. Finally, we propose a scalable algorithm to estimate our sharp bounds from observational data.
Key facts. Cited by 24 papers in the map (data through 14 Oct 2026). Builds on 48 of its 83 references that are in the map. First posted on arXiv 26 May 2023.
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References · 48
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
- 2015Variational Inference with Normalizing Flowscited by 2,170
- 2015Estimation and Inference of Heterogeneous Treatment Effects using Random Forestscited by 600
- 2019Neural Spline Flowscited by 596
- 2017Meta-learners for Estimating Heterogeneous Treatment Effects using Machine Learningcited by 478
- 2019Adapting Neural Networks for the Estimation of Treatment Effectscited by 287
- 2019Learning Likelihoods with Conditional Normalizing Flowscited by 172
- 2020Estimating Counterfactual Treatment Outcomes over Time Through Adversarially Balanced Representationscited by 155
- 2017Fair Inference On Outcomescited by 144
- 2021Nonparametric Estimation of Heterogeneous Treatment Effects: From Theory to Learning Algorithmscited by 144
- 2016Foundations of Structural Causal Models with Cycles and Latent Variablescited by 134
- 2022Semiparametric doubly robust targeted double machine learning: a reviewcited by 133
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- 2020Estimating the Effects of Continuous-valued Interventions using Generative Adversarial Networkscited by 78
- 2018Confounding-Robust Policy Improvementcited by 76
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- 2018Interval Estimation of Individual-Level Causal Effects Under Unobserved Confoundingcited by 51
- 2021Quantifying Ignorance in Individual-Level Causal-Effect Estimates under Hidden Confoundingcited by 50
- 2018Learning Optimal Fair Policiescited by 49
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- 2021An Automated Approach to Causal Inference in Discrete Settingscited by 42
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- 2017Sensitivity analysis for inverse probability weighting estimators via the percentile bootstrapcited by 33
- 2018Counterfactual Mean Embeddingscited by 32
- 2021Sharp Sensitivity Analysis for Inverse Propensity Weighting via Quantile Balancingcited by 32
- 2019Machine Learning Estimation of Heterogeneous Treatment Effects with Instrumentscited by 29
- 2022Estimating average causal effects from patient trajectoriescited by 29
- 2020A Class of Algorithms for General Instrumental Variable Modelscited by 28
- 2021Doubly-Valid/Doubly-Sharp Sensitivity Analysis for Causal Inference with Unmeasured Confoundingcited by 28
- 2023B-Learner: Quasi-Oracle Bounds on Heterogeneous Causal Effects Under Hidden Confoundingcited by 28
- 2022Stochastic Causal Programming for Bounding Treatment Effectscited by 25
- 2020Structural Causal Models Are (Solvable by) Credal Networkscited by 22
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- 2022Scalable Sensitivity and Uncertainty Analysis for Causal-Effect Estimates of Continuous-Valued Interventionscited by 20
- 2022Estimating individual treatment effects under unobserved confounding using binary instrumentscited by 18
- 2022Partial Identification of Treatment Effects with Implicit Generative Modelscited by 17
- 2021Generalizing Off-Policy Learning under Sample Selection Biascited by 16
- 2022Sensitivity analysis under the f-sensitivity models: a distributional robustness perspectivecited by 12
- 2022Partial Identification with Noisy Covariates: A Robust Optimization Approachcited by 11
- 2022Sensitivity Analysis for Marginal Structural Modelscited by 10
- 2022To Impute or not to Impute? Missing Data in Treatment Effect Estimationcited by 9
- 2022Partial Identification of Dose Responses with Hidden Confounderscited by 7
- 2023A Differential Effect Approach to Partial Identification of Treatment Effectscited by 2
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Citing papers per year: 2023: 6; 2024: 9; 2025: 5; 2026: 4.
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- 2024IGC-Net for conditional average potential outcome estimation over timecited by 10
- 2024Quantifying Aleatoric Uncertainty of the Treatment Effect: A Novel Orthogonal Learnercited by 10
- 2024Causal Machine Learning for Cost-Effective Allocation of Development Aidcited by 6
- 2024Constructing Confidence Intervals for Average Treatment Effects from Multiple Datasetscited by 6
12 most cited of 23 All 23 (JSON)
- 2026Amortizing Causal Sensitivity Analysis via Prior Data-Fitted Networks11 May 2026
- 2026ConfoundingSHAP: Quantifying confounding strength in causal inference11 May 2026
- 2026Causal Inference on Networks under Misspecified Exposure Mappings: A Partial Identification Framework3 Feb 2026
- 2025Assessing the robustness of heterogeneous treatment effects in survival analysis under informative censoring15 Oct 2025
- 2025Spatial Deconfounder: Interference-Aware Deconfounding for Spatial Causal Inference9 Oct 2025
- 2025Foundation Models for Causal Inference via Prior-Data Fitted Networks12 Jun 2025
- 2025Your Assumed DAG is Wrong and Here's How To Deal With It24 Feb 2025
- 2025Efficient and Sharp Off-Policy Learning under Unobserved Confounding18 Feb 2025
- 2024Constructing Confidence Intervals for Average Treatment Effects from Multiple Datasets16 Dec 2024
- 2024Quantifying Aleatoric Uncertainty of the Treatment Effect: A Novel Orthogonal Learner5 Nov 2024
- 2024Causal machine learning for predicting treatment outcomes11 Oct 2024
- 2024Model-agnostic meta-learners for estimating heterogeneous treatment effects over time7 Jul 2024
12 newest of 23 All 23 (JSON)