A New Semiparametric Approach to Finite Mixture of Regressions using Penalized Regression via Fusion.

ABSTRACT: For some modeling problems a population may be better assessed as an aggregate of unknown subpopulations, each with a distinct relationship between a response and associated variables. The finite mixture of regressions (FMR) model, in which an outcome is derived from one of a finite number of linear regression models, is a natural tool in this setting. In this article, we first propose a new penalized regression approach. Then, we demonstrate how the proposed approach better identifies subpopulations and their corresponding models than a semiparametric FMR method does. Our new method fits models for each person via grouping pursuit, utilizing a new group-truncated L ₁ penalty that shrinks the differences between estimated parameter vectors. The methodology causes the indi

SUBMITTER: Austin E 

PROVIDER: S-EPMC8612088 | biostudies-literature | 2020 Apr

REPOSITORIES: biostudies-literature