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Functional data analysis of nonlinear modes of variation
Functional data analysis nonlinear modes of variation analysis of variance Fréchet mean Fréchet variance variation in manifolds
2009/9/16
A set of curves or images of similar shape is an increasingly common functional data set collected in the sciences. Principal Component Analysis (PCA) is the most widely used technique to decompose va...
A powerful test based on tapering for use in functional data analysis
functional data analysis quadratic forms high-dimensional testing rates of testing Fourier decomposition
2009/9/16
A test based on tapering is proposed for use in testing a global linear hypothesis under a functional linear model. The test statistic is constructed as a weighted sum of squared linear combinations o...
Explicit connections between longitudinal data analysis and kernel machines
Best linear unbiased prediction classification generalized linear mixed models machine learning linear mixed models reproducing kernel Hilbert spaces
2009/9/16
Two areas of research – longitudinal data analysis and kernel machines – have large, but mostly distinct, literatures. This article shows explicitly that both fields have much in common with each othe...