UMBC Mathematics and Statistics Department
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Recent Submissions
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Cervical Cancer Screening and Gynecologic Visit Rates for Medicaid Enrollees with Mental and Substance Use Disorders
(The Hilltop Institute, 2010-11-10)Hilltop Senior Research Analyst Michael Abrams, MPH, gave this presentation at the 138th American Public Health Association (APHA) Annual Meeting held November 6 through 10, 2010, in Denver, Colorado. Cervical Cancer ... -
Stochastic Binary Opinion Model
(2019-02-06)We study a stochastic binary opinion model where agents in a group are considered to hold an opinion of 0 or 1 at each moment. An agent in the group updates his/her opinion based on the group's opinion configuration and ... -
A Unified Approach for Solving Sequential Selection Problems
(2019-05-27)In this paper we develop a unified approach for solving a wide class of sequential selection problems. This class includes, but is not limited to, selection problems with no-information, rank-dependent rewards, and considers ... -
A Riesz-Thorin type interpolation theorem in Euclidean Jordan algebras
(2019-05-07)In a Euclidean Jordan algebra V of rank n which carries the trace inner product, to each element a we associate the eigenvalue vector λ(a) in Rn whose components are the eigenvalues of a written in the decreasing order. ... -
Minimax Lower Bound of k-Monotone Estimation in the Sup-norm
(IEEE, 2019-04-18)Belonging to the framework of shape constrained estimation, k-monotone estimation refers to the nonparametric estimation of univariate k-monotone functions, e.g., monotone and convex unctions. This paper develops minimax ... -
Attractors and Determining Functionals for A Flutter Model: Finite Dimensionality Out of Thin Air
(2019-04-24)We establish the effective {\em finite dimensionality} of the dynamics corresponding to a flow-plate interaction PDE model arising in aeroelasticity: a nonlinear panel, in the absence of rotational inertia, immersed in an ... -
Strong and Weak Scalability Studies for the 2-D Poisson Equation on the Taki 2018 Cluster
(2019)The new 2018 nodes in the cluster taki in the UMBC High Performance Computing Facility contain two 18-core Intel Skylake CPUs and 384 GB of memory per node, connected by an EDR (Enhanced Data Rate) InfiniBand interconnect. ... -
Interval Estimation of the Overlapping Coefficient of Two Exponential Distributions
(Atlantis Press SARL, 2019-04-22)For the overlapping coefficient between two one-parameter or two-parameter exponential distributions, confidence intervals are developed using generalized pivotal quantities. The accuracy of the proposed solutions are ... -
A modified approach to team-based learning in linear algebra courses
(Taylor and Francis Online, 2014-05-29)This paper documents the author's adaptation of team-based learning (TBL), an active learning pedagogy developed by Larry Michaelsen and others, in the linear algebra classroom. The paper discusses the standard components ... -
Solution Uniqueness of Convex Piecewise Affine Functions Based Optimization with Applications to Constrained ℓ 1 Minimization
(2017-11-16)In this paper, we study the solution uniqueness of an individual feasible vector of a class of convex optimization problems involving convex piecewise affine functions and subject to general polyhedral constraints. This ... -
Exact Support and Vector Recovery of Constrained Sparse Vectors via Constrained Matching Pursuit
(2019-03-18)Matching pursuit, especially its orthogonal version and other variations, is a greedy algorithm widely used in signal processing, compressed sensing, and sparse modeling and approximation. Inspired by constrained sparse ... -
Using Reading Quizzes in STEM Classes—The What, Why, and How
(National Science Teachers Association, 2015)Many active learning pedagogies depend on students' preparing for class in advance. One common method for holding students accountable for this preparation is the use of reading quizzes. When used thoughtfully, reading ... -
Merging Orthovoltage X-Ray Minibeams spare the proximal tissues while producing a solid beam at the target
(Springer Nature Publishing AG., 2019-02-04)Conventional radiation therapy of brain tumors often produces cognitive deficits, particularly in children. We investigated the potential efficacy of merging Orthovoltage X-ray Minibeams (OXM). It segments the beam into ... -
Development and Assessment of Modules to Integrate Quantitative Skills in Introductory Biology Courses
(The American Society for Cell Biology, 2017-10-13)Redesigning undergraduate biology courses to integrate quantitative reasoning and skill development is critical to prepare students for careers in modern medicine and scientific research. In this paper, we report on the ... -
On adaptive BDDC for the flow in heterogeneous porous media
(2019-01-07)We study a method based on Balancing Domain Decomposition by Constraints (BDDC) for a numerical solution of a single-phase flow in heterogenous porous media. The method solves for both flux and pressure variables. The ... -
A Unified Approach for Solving Sequential Selection Problems
(2019-01-25)In this paper we develop a unified approach for solving a wide class of sequential selection problems. This class includes, but is not limited to, selection problems with no–information, rank–dependent rewards, and ... -
Analyzing Two-Dimensional Gel Images
(Taylor and Francis Online, 2012-09-20) -
Protein Image Alignment via Piecewise Affine Transformations
We present a new approach for aligning families of 2D gels. Instead of choosing one of the gels as reference and performing a pairwise alignment, we construct an ideal gel that is representative of the entire family and ... -
Inexact Methods for Symmetric Stochastic Eigenvalue Problems
(2018-11-02)We study two inexact methods for solutions of random eigenvalue problems in the context of spectral stochastic finite elements. In particular, given a parameter-dependent, symmetric matrix operator, the methods solve for ... -
Cross-cancer Prediction: A Novel Machine Learning Approach to Discover Molecular Targets for Development of Treatments for Multiple Cancers
(SAGE journals, 2018-10-22)Conventional cancer drug development has long been limited to organ- or tissue-specific cancer types. However, it has become increasingly known that specific genetic abnormalities are responsible for the carcinogenesis of ...
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