5 papers · 1 filter
Bayesian index models for heterogeneous treatment effects
Hyung Park, Danni Wu, Eva Petkova +2
The general idea of this article is to develop a Bayesian model with a flexible link function connecting an exponential family treatment response to a linear combination of covaria…
A single-index model with a surface-link for optimizing individualized dose rules
Hyung Park, Eva Petkova, Thaddeus Tarpey +1
This paper focuses on the problem of modeling and estimating interaction effects between covariates and a continuous treatment variable on an outcome, using a single-index regressi…
Functional additive models for optimizing individualized treatment rules
Hyung Park, Eva Petkova, Thaddeus Tarpey +1
A novel functional additive model is proposed which is uniquely modified and constrained to model nonlinear interactions between a treatment indicator and a potentially large numbe…
A constrained sparse additive model for treatment effect-modifier selection
Hyung Park, Eva Petkova, Thaddeus Tarpey +1
Sparse additive modeling is a class of effective methods for performing high-dimensional nonparametric regression. This paper develops a sparse additive model focused on estimation…
Sufficient Dimension Reduction for Interactions
Hyung Park, Eva Petkova, Thaddeus Tarpey +1
Dimension reduction lies at the heart of many statistical methods. In regression, dimension reduction has been linked to the notion of sufficiency whereby the relation of the respo…