Browsing UMBC Mathematics and Statistics Department by Title
Now showing items 1-20 of 422
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A Bifurcational Analysis of the Onset of Type 1 Diabetes
(2018-01-01)The purpose of this paper is to combine two models of diabetes and analyze the periodic behavior and the bifurcations produced by the newly combined model. The first of these two models by Mahaffy \cite{Mahaffy2007} analyzes ... -
A Generalized Model of Flocking with Steering
(2021-01-01)Flocking is a phenomenon in which self-propelled agents use only simple rules based on information about the locations and velocities of other agents to move from an unordered motion to an ordered motion in the long run. ... -
A GROUP SEQUENTIAL MULTIPLE TESTING METHOD AND ITS APPLICATION TO GENOMIC DATA
(2022-01-01)In this dissertations, we consider the simultaneous testing of groups and hypotheses within the groups which occurs in many scientific problems. A group is commonly judged to be significant if at least one hypothesis within ... -
A Simple Model for the Degradation of Cross-Sectional Area of a Skeletal Muscle Fiber Due to the Transcription Factor FOXO-1
(2018-01-01)We are investigating, through mathematical modeling and analysis, the signaling pathway of the FOXO-1 protein family transcription factors that involve the activation by Insulin Growth Factors (IGF) and Protein Kinase B ... -
Accurate and efficient solution of the Stokes-Brinkman problem
(2020-01-20)We consider three problems related to the numerical solution of the Stokes-Brinkman equations, which model flow through porous media. We first study and apply residual-based a posteriori error estimates (Chapter 3) to ... -
Adaptive BDDC in three dimensions
(Elsevier, 2011-04-21)The adaptive BDDC method is extended to the selection of face constraints in three dimensions. A new implementation of the BDDC method is presented based on a global formulation without an explicit coarse problem, with ... -
Adaptive Coarse Space Selection in the BDDC and the FETI-DP Iterative Substructuring Methods: Optimal Face Degrees of Freedom
(Springer, 2007)We propose adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods by adding coarse degrees of freedom (dofs) on faces between substructures constructed using eigenvectors associated ... -
Adaptive local false discovery rate procedures for highly spiky data and their application RNA sequencing data of yeast SET4 deletion mutants
(Wiley, 2021-07-28)Chromatin dynamics are central to the regulation of gene expression and genome stability. In order to improve understanding of the factors regulating chromatin dynamics, the genes encoding these factors are deleted and ... -
Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods
(Elsevier, 2006-10-24)We propose a class of methods for the adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods. The methods work by adding coarse degrees of freedom constructed from eigenvectors ... -
Adaptive-Multilevel BDDC and its parallel implementation
(Springer, 2013-12)We combine the adaptive and multilevel approaches to the BDDC and formulate a method which allows an adaptive selection of constraints on each decomposition level. We also present a strategy for the solution of local ... -
Adaptively Solving the Local-Minimum Problem for Deep Neural Networks
This paper aims to overcome a fundamental problem in the theory and application of deep neural networks (DNNs). We propose a method to solve the local minimum problem in training DNNs directly. Our method is based on the ... -
An Approach to Tuning Hyperparameters in Parallel: An Approach to Tuning Hyperparameters in Parallel
(2019-01-01)Predicting violent storms and dangerous weather conditions, for instance predicting tornados, is an important application for public safety. Using numerical weather simulations to classify a weather pattern as tornadic or ... -
Analysis of Longitudinal Interval Reported Binary Recurrent Event Data & Statistical Model for Subgroup Identification in Enrichment Design
(2019-01-01)This thesis contains two research projects. The first thesis project investigates the analytical methods for longitudinal interval reported binary recurrent event data. This project is motivated by the post hip fracture ... -
Analyzing Two-Dimensional Gel Images
(Taylor and Francis Online, 2012-09-20) -
Application of adaptive ANOVA and reduced basis methods to the stochastic Stokes-Brinkman problem
(Springer, 2021-03-17)The Stokes-Brinkman equations model fluid flow in highly heterogeneous porous media. In this paper, we consider the numerical solution of the Stokes-Brinkman equations with stochastic permeabilities, where the permeabilities ... -
Application of the parallel BDDC preconditioner to the Stokes flow
(Elsevier, 2011-01-08)A parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method is described. It is based on formulation of BDDC with global matrices without explicit coarse problem. The implementation is based ... -
Applications of machine learning to improve the clinical viability of Compton camera based in vivo range verification in proton radiotherapy
(Frontiers, 2022-04-11)We studied the application of a deep, fully connected Neural Network (NN) to process prompt gamma (PG) data measured by a Compton camera (CC) during the delivery of clinical proton radiotherapy beams. The network identifies ... -
Applications of Tensor Decompositions
(2016)This report explores how data structures known as tensors can be used to perform multidimensional data analysis. If a matrix can be thought of as a two-dimensional array, then a tensor can be thought of as a multi-dimensional ... -
An Approach to Tuning Hyperparameters in Parallel: A Performance Study Using Climate Data CyberTraining: Big Data + High-Performance Computing + Atmospheric Sciences
(2019)The ability to predict violent storms and bad weather conditions with current models can be difficult due to the immense complexity associated with weather simulation. For example when predicting a tornado caution must be ...