UMBC Mathematics and Statistics Department
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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 ... 
A pointwise weakmajorization inequality for linear maps over Euclidean Jordan algebras
(20200818)Given a linear map T on a Euclidean Jordan algebra of rank n, we consider the set of all nonnegative vectors q in Rⁿ with decreasing components that satisfy the pointwise weakmajorization inequality λ(T(x))≺wq∗λ(x), ... 
Data assimilation for the NavierStokes equations using local observables
(20200816)We develop, analyze, and test an approximate, global data assimilation/synchronization algorithm based on purely local observations for the twodimensional NavierStokes equations on the torus. We prove that, for any error ... 
Error Estimates for Deep Learning Methods in Fluid Dynamics
In this study, we provide error estimates and stability analysis of deep learning techniques for certain partial differential equations including the incompressible NavierStokes equations. In particular, we obtain explicit ... 
Sparsity and Independence: Balancing Two Objectives in Optimization for Source Separation with Application to fMRI Analysis
(Elsevier, 20170611)Because of its wide applicability in various disciplines, blind source separation (BSS), has been an active area of research. For a given dataset, BSS provides useful decompositions under minimum assumptions typically by ... 
Parallel Performance Studies for a 3D Elliptic Test Problem on the 2018 Portion of the Taki Cluster
The new 2018 nodes in the CPU cluster taki in the UMBC High Performance Computing Facility contain two 18core Intel Skylake CPUs and 384 GB of memory per node, connected by an EDR (Enhanced Data Rate) InfiniBand interconnect. ... 
Parallel Performance Studies for an Elliptic Test Problem on the 2018 Portion of the Taki Cluster
The new 2018 nodes in the CPU cluster taki in the UMBC High Performance Computing Facility contain two 18core Intel Skylake CPUs and 384 GB of memory per node, connected by an EDR (Enhanced Data Rate) InfiniBand interconnect. ... 
Mineral Dust Detection Using Satellite Data
Mineral dust, defined as aerosol originating from the soil, can have various harmful effects to the environment and human health. The detection of dust, and particularly incoming dust storms, may help prevent some of these ... 
Benchmarking parallel implementations of cloud type clustering from satellite data
The study of clouds, i.e., where they occur and what are their characteristics, plays a key role in the understanding of climate change. The aim of this project is to use machine learning in conjunction with parallel ... 
Hybrid MPI+OpenMP parallelization of image reconstruction in proton beam therapy on multicore and manycore processors
The advantage of proton beam therapy is that the lethal dose of radiation is delivered by a sharp increase toward the end of the beam range, known as the Bragg peak (BP), with no dose delivered beyond. By using these ... 
Strong and Weak Scalability Studies for the 3D Poisson Equation on the Taki 2018 Cluster
The new 2018 nodes in the cluster taki in the UMBC High Performance Computing Facility contain two 18core Intel Skylake CPUs and 384 GB of memory per node, connected by an EDR (Enhanced Data Rate) InfiniBand interconnect. ... 
Deep Learning for Classification of Compton Camera Data in the Reconstruction of Proton Beams in Cancer Treatment
(UMBC, 20200612)Realtime imaging has potential to greatly increase the effectiveness of proton beam therapy in cancer treatment. One promising method of realtime imaging is the use of a Compton camera to detect prompt gamma rays, which ... 
Daily Precipitation Generation using a Hidden Markov Model with Correlated Emissions for the Potomac River Basin
(UMBC, 20200630)A daily precipitation generator based on a hidden Markov model with Gaussian copulas (HMMGC) is constructed using remote sensing data from GPMIMERG for the Potomac river basin on the East Coast of the USA. Daily ... 
A Comparison of Stochastic Precipitation Generation Models for the Potomac River Basin
Weather ensembles are an integral part of weather forecasting and can also be used to test the sensitivity and performance of climate models. Among meteorological variables, simultaneous simulation of precipitation at ... 
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 ...