Identifying brain hierarchical structures associated with Alzheimer's disease using a regularized regression method with tree predictors.

@article{Zhao2021IdentifyingBH,
  title={Identifying brain hierarchical structures associated with Alzheimer's disease using a regularized regression method with tree predictors.},
  author={Yi Zhao and Bingkai Wang and Chin-Fu Liu and Andreia Vasconcellos Faria and Michael I. Miller and Brian S. Caffo and Xi Luo},
  journal={Biometrics},
  year={2021}
}
Brain segmentation at different levels is generally represented as hierarchical trees. Brain regional atrophy at specific levels was found to be marginally associated with Alzheimer's disease outcomes. In this study, we propose an -type regularization for predictors that follow a hierarchical tree structure. Considering a tree as a directed acyclic graph, we interpret the model parameters from a path analysis perspective. Under this concept, the proposed penalty regulates the total effect of… 

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