UMBC Mathematics and Statistics Department
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Comparison of Local Powers of Some Exact Tests for a Common Normal Mean with Unequal Variances
(United States Census Bureau, 20200520)The inferential problem of drawing inference about a common mean µ of several independent normal populations with unequal variances has drawn universal attention, and there are many exact tests for testing a null hypothesis ... 
Tolerance limits under zero‐inflated lognormal and gamma distributions
(Wiley, 20200528)The computation of upper tolerance limits is investigated for the zero‐inflated lognormal distribution and the zero‐inflated gamma distribution, with or without covariates. The methodologies investigated consist of a ... 
Theory of Solutions for An Inextensible Cantilever
(20200524)Recent equations of motion for the large deflections of a cantilevered elastic beam are analyzed. In the traditional theory of beam (and plate) large deflections, nonlinear restoring forces are due to the effect of stretching ... 
Some log and weak majorization inequalities in Euclidean Jordan algebras
(20200507)Motivated by Horn's logmajorization (singular value) inequality s(AB)≺logs(A)∗s(B) and the related weakmajorization inequality s(AB)≺ws(A)∗s(B) for square complex matrices, we consider their Hermitian analogs ... 
ManifoldOptim: An R Interface to the ROPTLIB Library for Riemannian Manifold Optimization
(Foundation for Open Access Statistics, 20200418)Manifold optimization appears in a wide variety of computational problems in the applied sciences. In recent statistical methodologies such as sufficient dimension reduction and regression envelopes, estimation relies on ... 
Is Group Testing Ready for Primetime in Disease Identification?
(20200409)Large scale disease screening is a complicated process in which high costs must be balanced against pressing public health needs. When the goal is screening for infectious disease, one approach is group testing in which ... 
Continuous Data Assimilation for the Three Dimensional NavierStokes Equations
(20200303)In this paper, we provide conditions, \emph{based solely on the observed data}, for the global wellposedness, regularity and convergence of the AzouniOlsonTiti data assimilation algorithm (AOT algorithm) for a LerayHopf ... 
Detecting Glaucoma Using 3D Convolutional Neural Network of Raw SDOCT Optic Nerve Scans
(20191014)Background. Glaucoma is a chronic progressive optic neuropathy with characteristic visual field defects and corresponding structural changes, including nerve fiber layer thinning and optic nerve neuroretinal rim loss. These ... 
A dynamically loadbalanced parallel padaptive implicit highorder flux reconstruction method for underresolved turbulence simulation
(20191008)We present a dynamically loadbalanced parallel padaptive implicit highorder flux reconstruction method for underresolved turbulence simulation. The highorder explicit first stage, singly diagonal implicit RungeKutta ... 
Linkages of Calcium Induced Calcium Release in a Cardiomyocyte Simulated by a System of Seven Coupled Partial Diﬀerential Equations
Cardiac arrhythmias aﬀect millions of adults in the U.S. each year. This irregularity in the beating of the heart is often caused by dysregulation of calcium in cardiomyocytes, the cardiac muscle cell. Cardiomyocytes ... 
CAREERRELEVANT MATHEMATICS PATHWAYS: ON THE ROAD TO STUDENT SUCCESS
UMBC, a diverse public research university, has a reputation for producing highly capable undergraduate scholars. Unfortunately, many students place into mathematics courses at a lower level than those that offer degree ... 
Persistence time of solutions of the threedimensional NavierStokes equations in SobolevGevrey classes
(20191224)In this paper, we study existence times of strong solutions of the threedimensional NavierStokes equations in timevarying analytic Gevrey classes based on Sobolev spaces Hᶳ,s>1/2. This complements the seminal work of ... 
Predicting Drug Release From Degradable Hydrogels Using Fluorescence Correlation Spectroscopy and Mathematical Modeling
(Frontiers Media S.A., 20191220)Predicting release from degradable hydrogels is challenging but highly valuable in a multitude of applications such as drug delivery and tissue engineering. In this study, we developed a simple mathematical and computational ... 
Lifetime Discrimination Burden, Racial Discrimination, and Subclinical Cerebrovascular Disease among African Americans
(American Physiological Association, 20181126)Explore interactive relations of lifetime discrimination burden and racial discrimination – chronic stressors among African Americans (AA) – and age with magnetic resonance imaging (MRI)assessed white matter lesion volume ... 
Performance Benchmarking of Data Augmentation and Deep Learning for Tornado Prediction
(2019)Predicting violent storms and dangerous weather conditions with current models can take a long time due to the immense complexity associated with weather simulation. Machine learning has the potential to classify tornadic ... 
Large Deflections of Inextensible Cantilevers: Modeling, Theory, and Simulation
(20191016)A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam’s inextensibility—local arc length preservation—rather than traditional extensible effects attributed to ... 
Benchmarking Parallel KMeans Cloud Type Clustering from Satellite Data
(Springer, Cham, 20191008)The study of clouds, i.e., where they occur and what are their characteristics, plays a key role in the understanding of climate change. Clustering is a common machine learning technique used in atmospheric science to ... 
Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations
(American Institute of Mathematical Sciences, 201906)We study the computational efficiency of several nudging data assimilation algorithms for the 2D magnetohydrodynamic equations, using varying amounts and types of data. We find that the algorithms work with much less ...