Now showing items 11-16 of 16
A Comparison of Three Total Variation Based Texture Extraction Models
This paper qualitatively compares three recently proposed models for signal/image texture extraction based on total variation minimization:the Meyer, Vese-Osher, and TV-L1 models. We formulate discrete versions of these ...
Comparing Problem Formulation for Coupled Sets of Component
In this paper several formulations and comparative test results are presented for problems involving the general paradigm of coupled sets of components. This paradigm is general enough to include systems of systems (SoS) ...
A Symmetry Preserving Singular Value Decomposition
This thesis concentrates on the development, analysis, implementation, and application of a symmetry preserving singular value decomposition (SPSVD). This new factorization enhances the singular value decomposition (SVD)---a ...
Efficient and Accurate Simulation of Integrate-and-Fire Neuronal Networks in the Hippocampus
This thesis evaluates a method of computing highly accurate solutions for network simulations of integrate-and-fire (IAF) neurons. Simulations are typically evolved using time-stepping, but since the IAF model is composed ...
A MADS Algorithm with a Progressive Barrier for Derivative-Free Nonlinear Programming
We propose a new algorithm for general constrained derivative-free optimization. As in most methods, constraint violations are aggregated into a single constraint violation function. As in filter methods, a threshold, or ...
Best Symmetric Low Rank Approximation Via the Symmetry Preserving Singular Value Decomposition
The symmetry preserving singular value decomposition (SPSVD) produces the best symmetric (low rank) approximation to a set of data. These symmetric approximations are characterized via an invariance under the action of a ...