UMBC Mathematics and Statistics Department: Recent submissions
Now showing items 120 of 387

A stochastic Galerkin method with adaptive timestepping for the Navier–Stokes equations
(Elsevier, 20220729)We study the timedependent Navier–Stokes equations in the context of stochastic finite element discretizations. Specifically, we assume that the viscosity is a random field given in the form of a generalized polynomial ... 
Stochastic Precipitation Generation for the Chesapeake Bay Watershed using Hidden Markov Models with Variational Bayes Parameter Estimation
(20221009)Stochastic precipitation generators (SPGs) are a class of statistical models which generate synthetic data that can simulate dry and wet rainfall stretches for long durations. Generated precipitation time series data are ... 
Clientelism and Corruption in the Wake of Disasters
(CENTRO, The Center for Puerto Rican Studies at Hunter College,, 2022)Puerto Rico’s history of crises provides an opportune context for analyzing corruption in times of disaster. This article forwards a conceptual understanding of the phenomenon of porkbarrel spending and disaster resource ... 
MultiLayer Recurrent Neural Networks for the Classification of Compton Camera Based Imaging Data for Proton Beam Cancer Treatment
Proton beam therapy is a unique form of radiotherapy that utilizes protons to treat cancer by irradiating cancerous tumors, while avoiding unnecessary radiation exposure to surrounding healthy tissues. Realtime imaging ... 
Seismic resurfacing of asteroid (433) Eros from cratering impact suggests presence of asteroid families in nearEarth space
(20221006)An asteroid’s interior contributes to the response of its surface and shape to forces from space, 16 including meteoroid impacts [e.g., Chapman 1996, Bottke et al. 2020], tidal effects [e.g., Hurford 17 et al. 2016, ... 
Convergence of the minibatch SIHT algorithm
(20220929)The Iterative Hard Thresholding (IHT) algorithm has been considered extensively as an effective deterministic algorithm for solving sparse optimizations. The IHT algorithm benefits from the information of the batch (full) ... 
Korovkintype results and doubly stochastic transformations over Euclidean Jordan algebras
(20220927)A wellknown theorem of Korovkin asserts that if {Tk} is a sequence of positive linear transformations on C[a, b] such that Tk(h) → h (in the supnorm on C[a, b]) for all h ∈ {1, φ, φ2}, where φ(t) = t on [a, b], then ... 
Gradient Properties of Hard Thresholding Operator
(20220917)Sparse optimization receives increasing attention in many applications such as compressed sensing, variable selection in regression problems, and recently neural network compression in machine learning. For example, the ... 
Hitting a prime in 2.43 dice rolls (on average)
(20220916)What is the number of rolls of fair 6sided dice until the first time the total sum of all rolls is a prime? We compute the expectation and the variance of this random variable up to an additive error of less than 10−4 , ... 
On RoundRobin Tournaments with a Unique Maximum Score and Some Related Results
(20220831)Richard Arnold Epstein (19272016) published the first edition of ”The Theory of Gambling and Statistical Logic” in 1967. He introduced some material on roundrobin tournaments (complete oriented graphs) with n labeled ... 
SequenceBased Models for the Classification of Compton Camera Prompt Gamma Imaging Data for Proton Radiotherapy on the GPU Clusters Taki and Ada
(2022)Proton beam therapy is a unique form of radiotherapy that utilizes protons to treat cancer by irradiating cancerous tumors, while avoiding unnecessary radiation exposure to surrounding healthy tissues. Realtime imaging ... 
ON TOURNAMENTS AND NEGATIVE DEPENDENCE
(20220825)Negative dependence of sequences of random variables is often an interesting characteristic of their distribution, as well as a useful tool for studying various asymptotic results, including central limit theorems, Poisson ... 
The Mathematical Effects of Viscoelasticity in Quasistatic Biot Models
(20220824)We investigate and clarify the mathematical properties of linear poroelastic systems (quasistatic Biot) with the addition of classical viscoelasticity. We precisely demonstrate the timeregularization and dissipative effects ... 
Hyperbolic polynomials and majorization
(20211014)On a finite dimensional real vector space V, we consider a real homogeneous polynomial p of degree n that is hyperbolic relative to a vector e ∈ V. This means that p(e) 6= 0 and for any (fixed) x ∈ V, the roots of the ... 
Inference About a Common Mean Vector from Several Independent Multinormal Populations with Unequal and Unknown Dispersion Matrices
(United States Census Bureau, 20220822)In this paper we consider the problem of drawing inference about a common mean vector based on data from several independent multivariate normal populations with unknown and unequal dispersion matrices. An unbiased estimate ... 
Modeling and PDE Theory for The Large Deflections
(20220101)Flutter is defined as a selfexcitation of a thin structure where a surrounding flow destabilizes its natural elastic modes. Cantilevers are particularly prone to flutter, and it has been shown that this instability can ... 
A GROUP SEQUENTIAL MULTIPLE TESTING METHOD AND ITS APPLICATION TO GENOMIC DATA
(20220101)In this dissertation, we consider the simultaneous testing of groups and hypotheses within the groups which occurs in many scientific problems. A group is commonly judged to be significant if at least one hypothesis within ... 
Statistical Inference on High Dimensional Normal Mean Under Linear Inequality Constraints and Efficient Integration of Data in MetaAnalysis
(20220101)In this dissertation, we provide a framework for incorporating linear inequality parameter constraints in estimation and hypothesis testing involving high dimensional normal means. Modern statistical problems often involve ... 
Neural Networks for the Sanitization of Compton Camera Based Prompt Gamma Imaging Data for Proton Radiotherapy
(20220101)Proton beam radiotherapy is a method of cancer treatment that uses proton beamsto irradiate cancerous tissue, while simultaneously sparing doses to healthy tissue. In order to optimize radiation doses to the tumor and ... 
Statistical Modeling using Conditionally Specified Joint Distributions with Applications
(20210101)Often in practice, conditional distributions are easier to model and interpret while the joint distribution itself is either intractable or not available in closed form. When the observed response consists of both continuous ...