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Gradient Boosted Trees for Spatial Data and Its Application to Medical Imaging Data.


ABSTRACT: Boosting Trees are one of the most successful statistical learning approaches that involve sequentially growing an ensemble of simple regression trees ("weak learners"). This paper proposes a gradient Boosted Trees algorithm for Spatial Data (Boost-S) with covariate information. Boost-S integrates the spatial correlation into the classical framework of eXtreme Gradient Boosting. Each tree is constructed by solving a regularized optimization problem, where the objective function takes into account the underlying spatial correlation and involves two penalty terms on tree complexity. A computationally-efficient greedy heuristic algorithm is proposed to obtain an ensemble of trees. The proposed Boost-S is applied to the spatially-correlated FDG-PET (fluorodeoxyglucose-positron emission tomography) imaging data collected from clinical trials of cancer chemoradiotherapy. Our numerical investigations successfully demonstrate the advantages of the proposed Boost-S over existing approaches for this particular application.

SUBMITTER: Iranzad R 

PROVIDER: S-EPMC9615557 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature

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Gradient Boosted Trees for Spatial Data and Its Application to Medical Imaging Data.

Iranzad Reza R   Liu Xiao X   Chaovalitwongse W Art WA   Hippe Daniel D   Wang Shouyi S   Han Jie J   Thammasorn Phawis P   Duan Chunyan C   Zeng Jing J   Bowen Stephen S  

IISE transactions on healthcare systems engineering 20211109 3


Boosting Trees are one of the most successful statistical learning approaches that involve sequentially growing an ensemble of simple regression trees ("weak learners"). This paper proposes a gradient Boosted Trees algorithm for Spatial Data (Boost-S) with covariate information. Boost-S integrates the spatial correlation into the classical framework of eXtreme Gradient Boosting. Each tree is constructed by solving a regularized optimization problem, where the objective function takes into accoun  ...[more]

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