Browsing UMBC Mathematics and Statistics Department by Title
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Nested Group Testing Procedures for Screening
This article reviews a class of adaptive group testing procedures that operate under a probabilistic model assumption as follows. Consider a set of N items, where item i has the probability p (pi in the generalized group ... 
Neurological Manifestation of IncretinBased Therapies in Patients with Type 2 Diabetes: A Systematic Review and Network MetaAnalysis
(Aging and Disease, 20190303)As a new class of antidiabetic drug, incretinbased therapies, which include dipeptidyl peptidase4 inhibitors (DPP4Is) and glucagonlike peptide1 receptor agonists (GLP1 RAs), have raised concerns about symptoms of ... 
Nonlinear Measures of Correlation and Dimensionality Reduction with Application to Protein Motion
(2014)The study of allostery, a regulatory process that occurs in complex macromolecules such as proteins, is of particular interest as it has a key role in determining the function of these macromolecules. Allostery produces ... 
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 ... 
Note on Mean Vector Testing for HighDimensional Dependent Observations
(20190419)For the mean vector test in high dimension, Ayyala et al.(2017,153:136155) proposed new test statistics when the observational vectors are M dependent. Under certain conditions, the test statistics for onesame and ... 
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 ... 
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 ... 
Numerical and Experimental Investigation for a Resonant Optothermoacoustic Sensor
(IEEE, 20100701)A theoretical study of a resonant optothermoacoustic sensor employing a laser source and a quartz tuning fork receiver validates experimental results showing that the source should be positioned near the base of the receiver. 
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 ... 
Numerical Methods for Parallel Simulation of Diffusive Pollutant Transport from a Point Source
In an interdisciplinary project combining Atmospheric Physics, High Performance Computing, and Big Data, we explore a numerical method for solving a physical system modeled by a partial differential equation. The application ... 
Numerical Methods to Solve 2D and 3D Elliptic Partial Differential Equations Using Matlab on the Cluster maya
(2014)Discretizing the elliptic Poisson equation with homogeneous Dirichlet boundary conditions by the finite difference method results in a system of linear equations with a large, sparse, highly structured system matrix. It ... 
On adaptive BDDC for the flow in heterogeneous porous media
(20190107)We study a method based on Balancing Domain Decomposition by Constraints (BDDC) for a numerical solution of a singlephase flow in heterogenous porous media. The method solves for both flux and pressure variables. The ... 
On Surrogate Learning for Linear Stability Assessment of NavierStokes Equations with Stochastic Viscosity
(20210228)We study linear stability of solutions to the Navier\textendash Stokes equations with stochastic viscosity. Specifically, we assume that the viscosity is given in the form of a~stochastic expansion. Stability analysis ... 
On the connectedness of spectral sets and irreducibility of spectral cones in Euclidean Jordan algebras
(2018)Let V be a Euclidean Jordan algebra of rank n. A set E in V is said to be a spectral set if there exists a permutation invariant set Q in Rn such that E = λ−1(Q), where λ : V → Rn is the eigenvalue map that takes x ∈ V to ... 
On the construction of unbiased estimators for the group testing problem
(2018)Debiased estimation has long been an area of research in the group testing literature. This has led to the development of many estimators minimizing bias and, most recently, an unbiased estimator based on sequential ... 
On the negative dependence inequalities and maximal score in roundrobin tournament
We extend Huber's (1963) inequality for the joint distribution function of negative dependent scores in the roundrobin tournament. As a byproduct, this extension implies convergence in probability of the maximal score in ... 
On the Validity of the Girsanov Transformation Method for Sensitivity Analysis of Stochastic Chemical Reaction Networks
We investigate the validity of the Girsanov Transformation (GT) method for parametric sensitivity analysis of stochastic models of chemical reaction networks. The validity depends on the likelihood ratio process being a ... 
The Optimal Relaxation Parameter for the SOR Method Applied to the Poisson Equation in Any Space Dimensions
(Elsevier Ltd, 20090324)The finite difference discretization of the Poisson equation with Dirichlet boundary conditions leads to a large, sparse system of linear equations for the solution values at the interior mesh points. This problem is a ... 
Optimization of Computations Used in Information Theory Applied to Base Pair Analysis
(2011)Information theory is used in biology as an approach to analyzing and discovering enzyme binding sites in DNA. By using entropy, a measure of uncertainty, to analyze samples, information can be gained to make predictions ... 
Parallel Hyperparameter Tuning of Accuracy for Deep Learning based Tornado Predictions
Predicting violent storms and dangerous weather conditions with current physics based weather models can take a long time due to the immense complexity associated with numerical simulations. Machine learning has the potential ...