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Activity Number: 281 - New Methods with Applications in Mental Health Statistics
Type: Contributed
Date/Time: Tuesday, August 9, 2022 : 10:30 AM to 12:20 PM
Sponsor: Mental Health Statistics Section
Abstract #322390
Title: Tensor Response Quantile Regression with Neuroimaging Data
Author(s): Bo Wei* and Limin Peng and Ying Guo and Amita Manatunga
Companies: University of Michigan, Ann Arbor and Emory University and Emory University and Emory Unversity
Keywords: Neuroimaging; Post traumatic stress disorder; Tensor decomposition; Quantile regression

When the response variable is a high-dimensional tensor, evaluating the heterogeneous covariate effects on the response is a challenging task. Motivated by a neuroimaging study of post traumatic stress disorder (PTSD) from the Grady Trauma Project, we propose a tensor response quantile regression framework, where the response is formulated as a tensor response and the covariates are allowed to have flexible heterogeneous effects on the tensor response. We develop a computationally efficient estimation procedure for the regression coefficient tensor associated with the covariate effects by imposing a sensible low-rank structure for the coefficient tensor. This approach allows interpretable estimates of covariate effects regarding the underlying structure of the response. We establish the asymptotic properties of the proposed estimators. Simulation studies demonstrate good finite-sample performance of the proposed method. We apply the proposed methods to investigate the association between PTSD clinical assessments and fMRI resting-state functional connectivity from the Grady Trauma Project.

Authors who are presenting talks have a * after their name.

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