Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"sparse estimation"”.
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Contributions to Large Covariance and Inverse Covariance Matrices Estimation
Estimation of covariance matrix and its inverse is of great importance in multivariate statistics with broad applications such as dimension reduction, portfolio optimization, linear discriminant analysis and gene expression analysis. However, accurate estimation of covariance or inverse covariance …
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Statistical Analysis of Structured High-dimensional Data
… of regions is achieved through encouraging sparse estimation of the regression coefficient, where nonzero regions correspond to regions that are selected. To achieve sparse estimation, we adopt compactly supported and potentially over-complete basis to capture local features of the …
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Geometric aspects of uncertainty quantification in high-dimensional statistics
… information-theoretic results that show estimation and uncertainty quantification are fundamentally distinctive problems, the difficulty of which is governed by different aspects of the data and model. As it is natural to seek uncertainty quantification procedures that match the accuracy …
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Functional Data Models for Raman Spectral Data and Degradation Analysis
… regression procedure to obtain a locally sparse estimate of functional contrast. Our work is motivated by a biomedical study using Raman spectroscopy to monitor hemodialysis treatment near real-time. With contrast test and sparse estimation, practitioners can monitor the progress of the …
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Advancements in Degradation Modeling, Uncertainty Quantification and Spatial Variable Selection
… based iterative procedure for parameter estimation is developed. The confidence intervals of parameters are calculated using the nonparametric bootstrap procedure. Both simulated data and real datasets are used to compare the semi-parametric model with the existing parametric models. …