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Full-Text Articles in Mathematics
A Spatiotemporal Bayesian Model For Population Analysis, Mohamed Jaber
A Spatiotemporal Bayesian Model For Population Analysis, Mohamed Jaber
Theses and Dissertations
Spatiotemporal population analysis based on incomplete, redundant, and unidentified observations is critically important, yet it is a very challenging problem. Different approaches have been proposed and several methods have been implemented to address this problem. Capture-recapture methods have been widely used and have become the standard sampling and analytical framework for ecological statistics with applications to population analysis. Despite the fact that capture-recapture methods have been commonly used, these methods do not consider the spatial structure of the population. Moreover, conventional capturerecapture methods do not use any explicit spatial information with regard to the spatial nature of the sampling and …
Multiscale Optimization Via Multilevel Pca-Based Control Space Reduction In Applications To Electrical Impedance Tomography, Maria Minhee Felicia Monica Chun
Multiscale Optimization Via Multilevel Pca-Based Control Space Reduction In Applications To Electrical Impedance Tomography, Maria Minhee Felicia Monica Chun
Theses and Dissertations
A fully developed computational framework for the optimal reconstruction of binary-type images suitable for various models seen in biological and medical applications is developed and validated. This framework enables solutions to the inverse electrical impedance tomography (EIT) problems of cancer detection at different levels of complexity with multiple cancer-affected regions of different sizes based on available measurements usually affected by noise. A new spatial partitioning methodology and efficient scheme for switching between fine and coarse scales are developed to allow higher variations in the geometry of reconstructed binary images with superior performance confirmed computationally on various models. A nominal number …