5 papers
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…
Multiple imputation in functional regression with applications to EEG data in a depression study
Adam Ciarleglio, Eva Petkova, Ofer Harel
Current source density (CSD) power asymmetry, a measure derived from electroencephalography (EEG), is a potential biomarker for major depressive disorder (MDD). Though this measure…