UMBC Mathematics and Statistics Department
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The microglia response to electrical overstimulation of the retina imaged under a transparent stimulus electrode
(IOP, 20210108)Objective: We investigated using the morphological response of retinal microglia as indicators of tissue damage from electrical overstimulation by imaging them through an optically transparent stimulus electrode. Approach: ... 
Adaptively Solving the LocalMinimum 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 ... 
Stochastic Approximation Algorithm for Estimating Mixing Distribution for Dependent Observations
Estimating the mixing density of a mixture distribution remains an interesting problem in statistics literature. Using a stochastic approximation method, Newton and Zhang (1999) introduced a fast recursive algorithm for ... 
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 ... 
Longtime dynamics of a hingedfree plate driven by a nonconservative force
(20200706)A partially hinged, partially free rectangular plate is considered, with the aim to address the possible unstable end behaviors of a suspension bridge subject to wind. This leads to a nonlinear plate evolution equation ... 
The Simultaneous Assessment of Normality and Homoscedasticity in OneWay Random Effects Models
(Society of Statistics, Computer and Applications, 20200628)The article investigates the simultaneous assessment of normality and homoscedasticity in a oneway random effects model. Test procedures are developed assuming a smooth alternative to the normal distribution, specified ... 
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 ... 
LowOrder Model of Biological Neural Networks
(20201212)A biologically plausible loworder model (LOM) of biological neural networks is a recurrent hierarchical network of dendritic nodes/trees, spiking/nonspiking neurons, unsupervised/ supervised covariance/accumulative learning ... 
Density Estimation using Entropy Maximization for Semicontinuous Data
(20201117)Semicontinuous data comes from a distribution that is a mixture of the point mass at zero and a continuous distribution with support on the positive real line. A clear example is the daily rainfall data. In this paper, ... 
Nonlinear Quasistatic Poroelasticity
We analyze a quasistatic Biot system of poroelasticity for both compressible and incompressible constituents. The main feature of this model is a nonlinear coupling of pressure and dilation through the system's permeability ... 
Multilayered Poroelasticity Interacting with Stokes Flow
We consider the interaction between an incompressible, viscous fluid modeled by the dynamic Stokes equation and a multilayered poroelastic structure which consists of a thin, linear, poroelastic plate layer (in direct ... 
Model‐Based Approach To Improve Clinical Outcomes In Neonates With Opioid Withdrawal Syndrome Using Real‐World Data
(Wiley, 20201029)At least 60% of the neonates with opioid withdrawal syndrome (NOWS) require morphine to control withdrawal symptoms. Currently, the morphine dosing strategies are empiric, not optimal and associated with longer hospital ... 
Issues on the use of a modified Bunch and Kaufman decomposition for large scale Newton’s equation
(Springer Nature, 20200918)In this work, we deal with Truncated Newton methods for solving large scale (possibly nonconvex) unconstrained optimization problems. In particular, we consider the use of a modified Bunch and Kaufman factorization for ... 
A Note on Multigrid Preconditioning for Fractional PDEConstrained Optimization Problems
(Elsevier, 20201027)In this note we present a multigrid preconditioning method for solving quadratic optimization problems constrained by a fractional diffusion equation. Multigrid methods within the allatonce approach to solve the first ... 
Copulabased Correlation Structure for Multivariate Emission Distributions in Hidden Markov Models
(2020)Hidden Markov models (HMM) for multisite daily precipitation usually assume that precipitation at each location is independently distributed conditional on the daily state; correlation in precipitation at different locations ... 
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 ... 
A note on the closedform solution for the longest head run problem of Abraham de Moivre
(20200916)The problem of the longest head run was introduced and solved by Abraham de Moivre in the second edition of his book Doctrine of Chances (de Moivre, 1738). The closedform solution as a finite sum involving binomial ... 
Commutation principles for optimization problems on spectral sets in Euclidean Jordan algebras
(20200910)The commutation principle of Ramirez, Seeger, and Sossa proved in the setting of Euclidean Jordan algebras says that when the sum of a real valued function h and a spectral function Φ is minimized/maximized over a spectral ... 
Effect of Exam Wrappers on Student Achievement in Multiple, Large STEM Courses
Metacognition, the ability to think about and regulate one’s thinking, is an important factor in effective student learning. One intervention to promote student metacognition is the exam wrapper—a reflection students ...