Browsing UMBC Mathematics and Statistics Department by Title
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Geomagnetic Data Assimilation Using Ensemble Methods to Estimate Forecast Error Covariance
(20071126)Data assimilation is the methodology to assimilate observational data with numerical models for better estimation of the true physical states. This research focuses on application of ensemble estimation of error covariance ... 
Geometric optimization problems with applications to ellipsoidal approximations and quasiNewton methods
(20081009)Our goal in this dissertation is to study some optimization problems with special structure and exploit this structure to obtain additional information that will be useful in the development of numerical methods. In ... 
A GPU Memory System Comparison for an Elliptic Test Problem
This paper presents GPUbased solutions to the Poisson equation with homogeneous Dirichlet boundary conditions in two spatial dimensions. This problem has wellunderstood behavior, but similar computation to many more ... 
The Graph 500 Benchmark on a MediumSize DistributedMemory Cluster with HighPerformance Interconnect
(20121217)While traditional performance benchmarks for highperformance computers measure the speed of arithmetic operations, memory access time is a more useful performance gauge for many large problems today. The Graph 500 benchmark ... 
Graph 500 Performance on a DistributedMemory Cluster
(2012)Social network and medical informatics analysis are examples of modern computing problems that involve large data sets. These data can be represented using graphs, which are sets of vertices that are connected by edges. ... 
Higher Order Asymptotics: Applications to Mixed Models and Bioassay
(20100101)Likelihood based tests and confidence intervals typically require large sample sizes for their validity. For small sample problems, higher order asymptotics (or small sample asymptotics) appear to be an attractive option ... 
A High‐Dimensional Classification Rule Using Sample Covariance Matrix Equipped With Adjusted Estimated Eigenvalues
(Wiley Online Library, 20210203)High‐dimensional classification have had challenges mainly due to the singularity issue of the sample covariance matrix. In this work, we propose a different approach to get a more reliable sample covariance matrix by ... 
Homogenization of Mixed Horizontal LCPs and Applications
(20090101)In optimization, a homogeneous model is an artificial transformation of a given problem. The transformation is done such that the homogeneous problem has always a solution even if the original problem does not. Moreover, ... 
A Hölder type inequality and an interpolation theorem in Euclidean Jordan algebras
(20180914)In a Euclidean Jordan algebra V of rank n which carries the trace inner product, to each element x we associate the eigenvalue vector λ(x) whose components are the eigenvalues of x written in the decreasing order. For any ... 
Hybrid MPI+OpenMP parallelization of image reconstruction in proton beam therapy on multicore and manycore processors
The advantage of proton beam therapy is that the lethal dose of radiation is delivered by a sharp increase toward the end of the beam range, known as the Bragg peak (BP), with no dose delivered beyond. By using these ... 
Identifying Nonlinear Correlations in High Dimensional Data with Application to Protein Molecular Dynamics Simulations
(2013)Complex biomolecules such as proteins can respond to changes in their environment through a process called allostery, which plays an important role in regulating the function of these biomolecules. Allostery occurs when ... 
IDL: A Possible Alternative to Matlab
(2012)Created by Exelis Visual Information Solutions, IDL (Interactive Data Language) is a commercial package used for data analysis. We compared the usability and efficiency of IDL to that of Matlab to determine if IDL is a ... 
Impact of Calcium Store Overload and Electrical Dynamics on Cardiac Myocytes
(2015)The heart's main function of pumping blood to the body is a complicated process separated into two major steps. Initially, the heart is relaxed and blood flows freely into the ventricles and atria from the veins, then the ... 
An Implementation of Binomial Method of Option Pricing using Parallel Computing
The Binomial method of option pricing is based on iterating over discounted option payoffs in a recursive fashion to calculate the present value of an option. Implementing the Binomial method to exploit the resources of a ... 
Improvements to the Deep Learning Classification of Compton Camera Based Prompt Gamma Imaging for Proton Radiotherapy
(202005)Realtime imaging has potential to greatly increase the effectiveness of proton beam therapy for cancer treatment. One promising method of realtime imaging is the use of a Compton camera to detect prompt gamma rays, which ... 
Improving the Computational Effciency of Downscaling GCM data for Use in SWAT
(2014)This project creates software tools to streamline the computational procedures to generate highresolution weather parameters from low resolution Global Climate Models (GCM) to be input into the Soil and Water Assessment ... 
Incorporating age and delay into models for biophysical systems
In many biological systems, chemical reactions or changes in a physical state are assumed to occur instantaneously. For describing the dynamics of those systems, Markov models that require exponentially distributed interevent ... 
Individual and communitylevel risk for COVID19 mortality in the United States
(Nature, 20201211)Reducing COVID19 burden for populations will require equitable and effective riskbased allocations of scarce preventive resources, including vaccinations. To aid in this effort, we developed a general population risk ... 
Inexact Methods for Symmetric Stochastic Eigenvalue Problems
(20181102)We study two inexact methods for solutions of random eigenvalue problems in the context of spectral stochastic finite elements. In particular, given a parameterdependent, symmetric matrix operator, the methods solve for ... 
Infeasible interior point methods for sufficient linear complementarity problems
(20090101)In the first part of the thesis we focus on algorithms acting in the small neighborhood of the central path. We present a new first order correctorpredictor method for solving sufficient linear complementarity problems ...