Time Series Deconfounder: Estimating Treatment Effects over Time in the Presence of Hidden Confounders
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Abstract (arXiv)
The estimation of treatment effects is a pervasive problem in medicine. Existing methods for estimating treatment effects from longitudinal observational data assume that there are no hidden confounders, an assumption that is not testable in practice and, if it does not hold, leads to biased estimates. In this paper, we develop the Time Series Deconfounder, a method that leverages the assignment of multiple treatments over time to enable the estimation of treatment effects in the presence of multi-cause hidden confounders. The Time Series Deconfounder uses a novel recurrent neural network architecture with multitask output to build a factor model over time and infer latent variables that render the assigned treatments conditionally independent; then, it performs causal inference using these latent variables that act as substitutes for the multi-cause unobserved confounders. We provide a theoretical analysis for obtaining unbiased causal effects of time-varying exposures using the Time Series Deconfounder. Using both simulated and real data we show the effectiveness of our method in deconfounding the estimation of treatment responses over time.
Key facts. Cited by 75 papers in the map (data through 14 Oct 2026). First posted on arXiv 1 Feb 2019.
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Citing papers per year: 2021: 13; 2022: 15; 2023: 10; 2024: 19; 2025: 12; 2026: 6.
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- 2022When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learningcited by 65
- 2022Continuous-Time Modeling of Counterfactual Outcomes Using Neural Controlled Differential Equationscited by 59
- 2021Causal Inference for Time series Analysis: Problems, Methods and Evaluationcited by 42
- 2021Relating Graph Neural Networks to Structural Causal Modelscited by 41
- 2022Combining Observational and Randomized Data for Estimating Heterogeneous Treatment Effectscited by 32
- 2022Estimating average causal effects from patient trajectoriescited by 29
- 2021Sequential Deconfounding for Causal Inference with Unobserved Confounderscited by 24
- 2021Interventional Sum-Product Networks: Causal Inference with Tractable Probabilistic Modelscited by 22
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- 2026Spatiotemporal Proximal Causal Inference under Hidden Confounding and Interference2 Aug 2026
- 2026Balanced Twins: Causal Inference on Time Series with Hidden Confounding17 Jun 2026
- 2026From Static Risk to Dynamic Trajectories: Toward World-Model-Inspired Clinical Prediction16 May 2026
- 2026How Wrong Can Your Counterfactual Be? Quantifying Confounding Bias for Continuous Treatments without a Control Group8 Mar 2026
- 2026Structured Hybrid Mechanistic Models for Robust Estimation of Time-Dependent Intervention Outcomes11 Feb 2026
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