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The numerical construction of a symmetric Toeplitz matrix having prescribed eigenvalues is faced by a two-step method using the continuation idea. The Cayley transform is exploited in order to integrate flows in the linear subspace of skew-symmetric and centro-symmetric matrices. |
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Overcomplete representations such as wavelets and windowed Fourier expansions have become mainstays of modern statistical data analysis. In the present work, in the context of general finite frames, we derive an oracle expression for the mean quadratic risk of a linear diagonal de-noising procedure… |
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Summary: ADViSELipidomics is a novel Shiny app for preprocessing, analyzing and visualizing lipidomics data. It
handles the outputs from LipidSearch and LIQUID for lipid identification and quantification and the data from
the Metabolomics Workbench. ADViSELipidomics extracts information by parsing… |
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In this paper we study sparse high dimensional additive partial linear models with
nonparametric additive components of heterogeneous smoothness. We review several existing algo-
rithms that have been developed for this problem in the recent literature, highlighting the connec-
tions between them,… |
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Parkinson's disease (PD) is the neurological disorder showing the greatest rise in prevalence from 1990 to 2016. Despite clinical definition criteria and a tremendous effort to develop objective biomarkers, precise diagnosis of PD is still unavailable at early stage. In recent years, an increasing… |
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We introduce a new class of models for aggregate or clustered point patterns, which encompasses and extends most of the classical models. We derive summary statistics and simulation procedures. |
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The numerical solution of reaction-diffusion systems modelling predator-prey dynamics using implicit-symplectic (IMSP) schemes is relatively new. When applied to problems with chaotic dynamics they perform well, both in terms of computational effort and accuracy. However, until the current paper, a… |
