Personalized treatment-response trajectories: Errors-in-variables, interpretability, and causality

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Perustieteiden korkeakoulu | Master's thesis

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SCI3044

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en

Pages

40+0

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Abstract

One fundamental problem in many applications is to estimate treatment-response trajectories given multidimensional treatment variables. However, in reality, the estimation suffers severely from measurement error both in treatment timing and covariates, for example when the treatment data are self-reported by users. We introduce a novel data-driven method to tackle this challenging problem, which models personalized treatment-response trajectories as a sum of a parametric response function, based on restored true treatment timing and covariates and sharing information across individuals under a hierarchical structure, and a counterfactual trend fitted by a sparse Gaussian Process. In a real-life dataset where the impact of diet on continuous blood glucose is estimated, our model achieves a superior performance in estimation accuracy and prediction.

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Marttinen, Pekka

Thesis advisor

Marttinen, Pekka

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