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Massively parallel nonparametric regression, with an application to developmental brain mapping.


ABSTRACT: We propose a penalized spline approach to performing large numbers of parallel non-parametric analyses of either of two types: restricted likelihood ratio tests of a parametric regression model versus a general smooth alternative, and nonparametric regression. Compared with naïvely performing each analysis in turn, our techniques reduce computation time dramatically. Viewing the large collection of scatterplot smooths produced by our methods as functional data, we develop a clustering approach to summarize and visualize these results. Our approach is applicable to ultra-high-dimensional data, particularly data acquired by neuroimaging; we illustrate it with an analysis of developmental trajectories of functional connectivity at each of approximately 70000 brain locations. Supplementary materials, including an appendix and an R package, are available online.

SUBMITTER: Reiss PT 

PROVIDER: S-EPMC3964810 | biostudies-literature | 2014 Jan

REPOSITORIES: biostudies-literature

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Massively parallel nonparametric regression, with an application to developmental brain mapping.

Reiss Philip T PT   Huang Lei L   Chen Yin-Hsiu YH   Huo Lan L   Tarpey Thaddeus T   Mennes Maarten M  

Journal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America 20140101 1


We propose a penalized spline approach to performing large numbers of parallel non-parametric analyses of either of two types: restricted likelihood ratio tests of a parametric regression model versus a general smooth alternative, and nonparametric regression. Compared with naïvely performing each analysis in turn, our techniques reduce computation time dramatically. Viewing the large collection of scatterplot smooths produced by our methods as functional data, we develop a clustering approach t  ...[more]

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