Intrinsic Regression Models for Positive-Definite Matrices With Applications to Diffusion Tensor Imaging
正定矩阵的内蕴回归模型及其扩散张量成像应用
The aim of this paper is to develop an intrinsic regression model for the analysis of positive-definite matrices as responses in a Riemannian manifold and their association with a set of covariates, such as age and gender, in a Euclidean space. The primary motivation and application of the proposed methodology is in medical imaging. Because the set of positive-definite matrices do not form a vector space, directly applying classical multivariate regression may be inadequate…