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Causal Inference on Sequential Treatments via Tensor Completion

Abstract Number:

2851 

Submission Type:

Contributed Abstract 

Contributed Abstract Type:

Paper 

Participants:

Chenyin Gao (1), Shu Yang (2), Anru Zhang (3)

Institutions:

(1) North Carolina State University, N/A, (2) North Carolina State University, Department of Statistics, N/A, (3) Duke University, N/A

Co-Author(s):

Shu Yang  
North Carolina State University, Department of Statistics
Anru Zhang  
Duke University

First Author:

Chenyin Gao  
North Carolina State University

Presenting Author:

Chenyin Gao  
North Carolina State University

Abstract Text:

Marginal Structural Models (MSMs) are popular for causal inference of sequential treatments in longitudinal observational studies, which however are sensitive to model misspecification. To achieve flexible modeling, we envision the potential outcomes to form a three-dimensional tensor indexed by subject, time, and treatment regime and propose a tensorized history-restricted MSM. The semi-parametric tensor factor model allows us to leverage the underlying low-rank structure of the potential outcomes tensor and exploit the pre-treatment covariate information to recover the counterfactual outcomes. We incorporate the inverse probability of treatment weighting in the loss function for tensor completion to adjust for time-varying confounding. Theoretically, a non-asymptotic upper bound on the Frobenius norm error for the proposed estimator is provided. Empirically, simulation studies show that the proposed tensor completion approach outperforms the parametric HRMSM and existing matrix/tensor completion methods. Finally, we illustrate the practical utility of the proposed approach to study the effect of ventilation on organ dysfunction from the Medical Information Mart for Intensi

Keywords:

Gradient descent|Penalized estimation|Tucker decomposition|Non-asymptotic error| |

Sponsors:

Biometrics Section

Tracks:

Longitudinal/Correlated Data

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