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Articles 1  30 of 593
FullText Articles in Other Applied Mathematics
Dna Complexes Of One BondEdge Type, Andrew Tyler LavengoodRyan
Dna Complexes Of One BondEdge Type, Andrew Tyler LavengoodRyan
Electronic Theses, Projects, and Dissertations
DNA selfassembly is an important tool used in the building of nanostructures and targeted virotherapies. We use tools from graph theory and number theory to encode the biological process of DNA selfassembly. The principal component of this process is to examine collections of branched junction molecules, called pots, and study the types of structures that such pots can realize. In this thesis, we restrict our attention to pots which contain identical cohesiveends, or a single bondedge type, and we demonstrate the types and sizes of structures that can be built based on a single characteristic of the pot that is ...
DensityDependent Development Impacts The Success Of WolbachiaBased Mosquito Control Programs, Alyssa Petroski, Lauren M. Childs, Michael Andrew Robert
DensityDependent Development Impacts The Success Of WolbachiaBased Mosquito Control Programs, Alyssa Petroski, Lauren M. Childs, Michael Andrew Robert
Biology and Medicine Through Mathematics Conference
No abstract provided.
Learning & Planning For SelfDriving RideHailing Fleets, Jack Morris
Learning & Planning For SelfDriving RideHailing Fleets, Jack Morris
Undergraduate Honors Theses
Through simulation, we demonstrate that incorporation of selfdriving vehicles into ridehailing fleets can greatly improve urban mobility. After modeling existing driverrider matching algorithms including Uber’s Batched Matching and Didi Chuxing’s Learning and Planning approach, we develop a novel algorithm adapting the latter to a fleet of Autos – selfdriving ridehailing vehicles – and Garages – specialized hubs for storage and refueling. By compiling driverrider matching, idling, storage, refueling, and redistribution decisions in one unifying framework, we enable a systemwide optimization approach for selfdriving ridehailing previously unseen in the literature. In contrast with existing literature that labeled driverless taxis as economically infeasible ...
Analysis Of Modelling Deficiencies That Contributed To The High Unanticipated Loan Losses Incurred During The Housing Price Collapse Of The Great Recession, Jennifer Shulman
Analysis Of Modelling Deficiencies That Contributed To The High Unanticipated Loan Losses Incurred During The Housing Price Collapse Of The Great Recession, Jennifer Shulman
Undergraduate Honors Theses
In this paper the data, modelling and the environmental factors that contributed to the collapse of the US housing market and the high mortgage loan losses during the Great Recession are explored. Deficiencies in data and modelling are discussed with an emphasis on the deficiencies in the mathematical modeling that failed to predict the high level of risk associated with mortgage originations in the mid2000's. It is suggested that the lack of effective modelling significantly contributed to banks offering aggressive origination guidelines and that this was a major contributing factor that led up to the housing price collapse in ...
358— Hybridization Of Particle Swam Optimization And Pattern Search Algorithms With Application, Eric Koessler
358— Hybridization Of Particle Swam Optimization And Pattern Search Algorithms With Application, Eric Koessler
GREAT Day
We test three methods of hybridizing Particle Swarm Optimization (PSO) and Pattern Search (PS) to improve the global minima, speed, and robustness. All methods let PSO run first followed by PS. The first method lets PSO use a large number of particles for a limited number of iterations. The second method lets PSO run normally until tolerance is reached. The third method lets PSO run normally until the average particle distance from the global best location is within a threshold. Numerical results using nondifferentiable test functions reveal that all three methods improve the global minima and robustness versus PSO, while ...
Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems, Subagya Perera
Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems, Subagya Perera
Master's Theses
In this thesis, we solve nonlinear differential equations by the homotopy analysis method (HAM), which is a semianalytic method first introduced by Shijun Liao in 1992. The modified HAM can be viewed as a more generalized method that encloses many perturbation and nonperturbation methods. It is different from perturbation or other analytical methods in that it allows considerable freedomformanyvariables. Using the modified HAM, especially zeroorder and higherorder deformation equations, we solve a nonlinear initial value problem and a nonlinear eigenvalue problem. We adjust the convergence region of a solution by modifying auxiliary parameter values. The results converge in very few ...
A Time Integration Method Of Approximate Particular Solutions For Nonlinear Ordinary Differential Equations, Cyril Ocloo
A Time Integration Method Of Approximate Particular Solutions For Nonlinear Ordinary Differential Equations, Cyril Ocloo
Master's Theses
We consider a timedependent method which is coupled with the method of approximate particular solutions (MAPS) of Deltashaped basis functions and the method of fundamental solutions (MFS) to solve nonlinear ordinary differential equations. Firstly, we convert a nonlinear problem into a sequence of timedependent nonhomogeneous boundary value problems through a fictitious time integration method. The superposition principle is applied to split the numerical solution at each time step into an approximate particular solution and a homogeneous solution. Deltashaped basis functions are used to provide an approximation of the source function at each time step. The purpose of this is to ...
Using Modern Portfolio Theory To Analyze Virgil's Aeneid (Or Any Other Poem), David Patterson
Using Modern Portfolio Theory To Analyze Virgil's Aeneid (Or Any Other Poem), David Patterson
Master's Theses
This paper demonstrates that it is possible to use mathematics to study literature as it has been used to study the social sciences. By focusing on mathematically defining economic and literary terms, it can be shown that the underlying mathematical structure behind key concepts in economics and literature are analogous. This opens the possibility of applying economic models in literature. Specifically, it is demonstrated that the economic mathematical model of modern portfolio theory can answer long standing questions around the Roman epic Aeneid by Virgil. The poet died before completing his poem. The relative completeness of the books of the ...
Nonnegative Matrix Factorization Problem, Junda An
Nonnegative Matrix Factorization Problem, Junda An
Undergraduate Honors Theses
The Nonnegative Matrix Factorization (NMF) problem has been widely used to analyze highdimensional nonnegative data and extract important features. In this paper, I review major concepts regarding NMF, some NMF algorithms and related problems including initialization strategies and near separable NMF. Finally I will implement algorithms on generated and real data to compare their performances.
Redesign Of Math 1601 Modeling With Calculus, Dustin Grindstaff
Redesign Of Math 1601 Modeling With Calculus, Dustin Grindstaff
Q2S Enhancing Pedagogy
This is the redesign of the course math 1601  Modeling with Calculus. It includes a sample syllabus and tentative schedule of topics to be covered. The course must meet the Technological Literacy requirement so I have also included a list of potential GeoGebra activities, as well as, what a sample activity would look like.
Numerical Solution For Solving TwoPoints Boundary Value Problems Using Orthogonal Boubaker Polynomials, Imad Noah Ahmed
Numerical Solution For Solving TwoPoints Boundary Value Problems Using Orthogonal Boubaker Polynomials, Imad Noah Ahmed
Emirates Journal for Engineering Research
In this paper, a new technique for solving boundary value problems (BVPs) is introduced. An orthogonal function for Boubaker polynomial was utilizedand by the aid of Galerkin method the BVP was transformed to a system of linear algebraic equations with unknown coefficients, which can be easily solved to find the approximate result. Some numerical examples were added with illustrations, comparing their results with the exact to show the efficiency and the applicability of the method.
A Mathematical Model Of Speeding, Jared Ott, Xavier Pérez Giménez
A Mathematical Model Of Speeding, Jared Ott, Xavier Pérez Giménez
Honors Theses, University of NebraskaLincoln
Crime is often regarded as nonsensical, impulsive, and irrational. These conjectures are pointed, though conversation about the pros and cons of crime does not happen often. People point to harsh fines, jail times, and life restrictions as their reason for judgement, stating that the tradeoffs are far too unbalanced to participate in illicit activity. Yet, everyday people commit small crimes, sometimes based on hedonistic desires, other times based on a rational thought process.
Speeding seems to be one of those that almost all people commit at least once during their life. Our work hopes to make an incremental improvement on ...
A Demographic Model Of An Endangered Florida Native Bromeliad (Tillandsia Utriculata), Zoe S. Brookover, Alexandra M. Campbell, Brian D. Christman, Sydney L. Davis, Erin N. Bodine
A Demographic Model Of An Endangered Florida Native Bromeliad (Tillandsia Utriculata), Zoe S. Brookover, Alexandra M. Campbell, Brian D. Christman, Sydney L. Davis, Erin N. Bodine
Spora: A Journal of Biomathematics
The large, longlived, epiphytic bromeliad Tillandsia utriculata is currently listed as stateendangered in Florida due to significant population reduction from predation by an invasive weevil, Metamasius callizona. We have developed a novel demographic model of a population of T. utriculata in Myakka River State Park (MRSP) in Sarasota, Florida using a stagestructured matrix model. Analysis of the model revealed conditions for population viability over a variety of parameter scenarios. Model analysis showed that without weevil predation the minimum germination rate required for population viability is low (4–16%), and that given a viable population at structural equilibrium we would expect ...
HighOrder Adaptive Synchrosqueezing Transform, Jawaher Alzahrani
HighOrder Adaptive Synchrosqueezing Transform, Jawaher Alzahrani
Dissertations
The prevalence of the separation of multicomponent nonstationary signals across many elds of research makes this concept an important subject of study. The synchrosqueezing transform (SST) is a particular type of reassignment method. It aims to separate and recover the components of a multicomponent nonstationary signal. The short time Fourier transform (STFT)based SST (FSST) and the continuous wavelet transform (CWT)based SST (WSST) have been used in engineering and medical data analysis applications. The current study introduces the dierent versions of FSST and WSST to estimate instantaneous frequency (IF) and to recover components. It has a good concentration and ...
Analysis Of An AgentBased Model For Predicting The Behavior Of Bighead Carp (Hypophthalmichthys Nobilis) Under The Influence Of Acoustic Deterrence, Craig Garzella, Joseph Gaudy, Karl R. B. Schmitt, Arezu Mansuri
Analysis Of An AgentBased Model For Predicting The Behavior Of Bighead Carp (Hypophthalmichthys Nobilis) Under The Influence Of Acoustic Deterrence, Craig Garzella, Joseph Gaudy, Karl R. B. Schmitt, Arezu Mansuri
Spora: A Journal of Biomathematics
Bighead carp (Hypophthalmichthys nobilis) are an invasive, voracious, highly fecund species threatening the ecological integrity of the Great Lakes. This agentbased model and analysis explore bighead carp behavior in response to acoustic deterrence in an effort to discover properties that increase likelihood of deterrence system failure. Results indicate the most significant (p < 0.05) influences on barrier failure are the quantity of detritus and plankton behind the barrier, total number of bighead carp successfully deterred by the barrier, and number of native fishes freely moving throughout the simulation. Quantity of resources behind the barrier influence bighead carp to penetrate when populations are resource deprived. When native fish populations are low, an accumulation of phytoplankton can occur, increasing the likelihood of an algal bloom occurrence. Findings of this simulation suggest successful implementation with proper maintenance of an acoustic deterrence system has potential of abating the threat of bighead carp on ecological integrity of the Great Lakes.
Evaluating An Ordinal Output Using Data Modeling, Algorithmic Modeling, And Numerical Analysis, Martin Keagan Wynne Brown
Evaluating An Ordinal Output Using Data Modeling, Algorithmic Modeling, And Numerical Analysis, Martin Keagan Wynne Brown
Murray State Theses and Dissertations
Data and algorithmic modeling are two diﬀerent approaches used in predictive analytics. The models discussed from these two approaches include the proportional odds logit model (POLR), the vector generalized linear model (VGLM), the classiﬁcation and regression tree model (CART), and the random forests model (RF). Patterns in the data were analyzed using trigonometric polynomial approximations and Fast Fourier Transforms. Predictive modeling is used frequently in statistics and data science to ﬁnd the relationship between the explanatory (input) variables and a response (output) variable. Both approaches prove advantageous in diﬀerent cases depending on the data set. In our case, the data ...
Modeling The Evolution Of Barrier Islands, Greg Robson
Modeling The Evolution Of Barrier Islands, Greg Robson
Theses and Dissertations
Barrier islands form off the shore of many coastal areas and serve as the ﬁrst line of defense, protecting littoral communities against storms. To study the effects that climate change has on barrier islands, we use a cellular model of wind erosion, surface dynamics, beach dynamics, marsh dynamics, and vegetation development. We will show the inhibition of movement when vegetation is present.
The Singular Value Expansion For Compact And NonCompact Operators, Daniel Crane
The Singular Value Expansion For Compact And NonCompact Operators, Daniel Crane
Dissertations, Master's Theses and Master's Reports
Given any bounded linear operator T : X → Y between separable Hilbert spaces X and Y , there exists a measure space (M, Α, µ) and isometries V : L^{2}(M) → X, U : L^{2}(M) → Y and a nonnegative, bounded, measurable function σ : M → [0, ∞) such that
T = Um_{σ}V ^{†},
with m_{σ} : L^{2}(M ) → L^{2}(M ) defined by m_{σ}(f ) = σf for all f ∈ L^{2}(M ). The expansion T = Um_{σ}V ^{†} is called the singular value expansion (SVE) of T .
The SVE is a useful tool for analyzing a number of problems such as ...
SubSampled Matrix Approximations, Joy Azzam
SubSampled Matrix Approximations, Joy Azzam
Dissertations, Master's Theses and Master's Reports
Matrix approximations are widely used to accelerate many numerical algorithms. Current methods sample row (or column) spaces to reduce their computational footprint and approximate a matrix A with an appropriate embedding of the data sampled. This work introduces a novel family of randomized iterative algorithms which use significantly less data per iteration than current methods by sampling input and output spaces simultaneously. The data footprint of the algorithms can be tuned (independent of the underlying matrix dimension) to available hardware. Proof is given for the convergence of the algorithms, which are referred to as subsampled, in terms of numerically tested ...
KMeans Stock Clustering Analysis Based On Historical Price Movements And Financial Ratios, Shu Bin
KMeans Stock Clustering Analysis Based On Historical Price Movements And Financial Ratios, Shu Bin
CMC Senior Theses
The 2015 article Creating Diversified Portfolios Using Cluster Analysis proposes an algorithm that uses the Sharpe ratio and results from Kmeans clustering conducted on companies' historical financial ratios to generate stock market portfolios. This project seeks to evaluate the performance of the portfoliobuilding algorithm during the beginning period of the COVID19 recession. S&P 500 companies' historical stock price movement and their historical return on assets and asset turnover ratios are used as dissimilarity metrics for Kmeans clustering. After clustering, stock with the highest Sharpe ratio from each cluster is picked to become a part of the portfolio. The economic ...
Genetic Algorithms Used For Search And Rescue Of Vulnerable People In An Urban Setting, Shuhad Aljandeel
Genetic Algorithms Used For Search And Rescue Of Vulnerable People In An Urban Setting, Shuhad Aljandeel
Graduate Theses, Dissertations, and Problem Reports
The main goal of this research is to design and develop a genetic algorithm (GA) for path planning of an Unmanned Aerial Vehicle (UAV) outfitted with a camera to efficiently search for a lost person in an area of interest. The research focuses on scenarios where the lost person is from a vulnerable population, such as someone suffering from Alzheimer or a small child who has wondered off. To solve this problem, a GA for path planning was designed and implemented in Matlab. The area of interest is considered to be a circle that encompasses the distance the person could ...
Mathematical Modeling Of Diabetic Foot Ulcers Using Optimal Design And MixedModeling Techniques, Michael Belcher
Mathematical Modeling Of Diabetic Foot Ulcers Using Optimal Design And MixedModeling Techniques, Michael Belcher
Honors College Capstone Experience/Thesis Projects
A mathematical model for the healing response of diabetic foot ulcers was developed using averaged data (Krishna et al., 2015). The model contains four major factors in the healing of wounds using four separate differential equations with 12 parameters. The four differential equations describe the interactions between matrix metalloproteinases (MMP1), tissue inhibitors of matrix metalloproteinases (TIMP1), the extracellular matrix (ECM) of the skin, and the fibroblasts, which produce these proteins. Recently, our research group obtained the individual patient data that comprised the averaged data. The research group has since taken several approaches to analyze the model with the individual patient ...
Algorithms For Mappings And Symmetries Of Differential Equations, Zahra Mohammadi
Algorithms For Mappings And Symmetries Of Differential Equations, Zahra Mohammadi
Electronic Thesis and Dissertation Repository
Differential Equations are used to mathematically express the laws of physics and models in biology, finance, and many other fields. Examining the solutions of related differential equation systems helps to gain insights into the phenomena described by the differential equations. However, finding exact solutions of differential equations can be extremely difficult and is often impossible. A common approach to addressing this problem is to analyze solutions of differential equations by using their symmetries. In this thesis, we develop algorithms based on analyzing infinitesimal symmetry features of differential equations to determine the existence of invertible mappings of less tractable systems of ...
A Data Driven Approach To Forecast Demand, Hannah Kosinovsky, Sita Daggubati, Kumar Ramasundaram, Brent Allen
A Data Driven Approach To Forecast Demand, Hannah Kosinovsky, Sita Daggubati, Kumar Ramasundaram, Brent Allen
SMU Data Science Review
Abstract. In this paper, we present a model and methodology for accurately predicting the following quarter’s sales volume of individual products given the previous five years of sales data. Forecasting product demand for a single supplier is complicated by seasonal demand variation, business cycle impacts, and customer churn. We developed a novel prediction using machine learning methodology, based upon a Dense neural network (DNN) model that implicitly considers cyclical demand variation and explicitly considers customer churn while minimizing the least absolute error between predicted demand and actual sales. Using parts sales data for a supplier to the oil and ...
Image Restoration Using Automatic Damaged Regions Detection And Machine LearningBased Inpainting Technique, Chloe MartinKing
Image Restoration Using Automatic Damaged Regions Detection And Machine LearningBased Inpainting Technique, Chloe MartinKing
Computational and Data Sciences (PhD) Dissertations
In this dissertation we propose two novel image restoration schemes. The first pertains to automatic detection of damaged regions in old photographs and digital images of cracked paintings. In cases when inpainting mask generation cannot be completely automatic, our detection algorithm facilitates precise mask creation, particularly useful for images containing damage that is tedious to annotate or difficult to geometrically define. The main contribution of this dissertation is the development and utilization of a new inpainting technique, region hiding, to repair a single image by training a convolutional neural network on various transformations of that image. Region hiding is also ...
Individual Based Model To Simulate The Evolution Of Insecticide Resistance, William B. Jamieson
Individual Based Model To Simulate The Evolution Of Insecticide Resistance, William B. Jamieson
Dissertations, Theses, and Student Research Papers in Mathematics
Insecticides play a critical role in agricultural productivity. However, insecticides impose selective pressures on insect populations, so the Darwinian principles of natural selection predict that resistance to the insecticide is likely to form in the insect populations. Insecticide resistance, in turn, severely reduces the utility of the insecticides being used. Thus there is a strong economic incentive to reduce the rate of resistance evolution. Moreover, resistance evolution represents an example of evolution under novel selective pressures, so its study contributes to the fundamental understanding of evolutionary theory.
Insecticide resistance often represents a complex interplay of multiple fitness tradeoffs for individual ...
MultiPoint Flux Approximations Via The OMethod, Christen Leggett
MultiPoint Flux Approximations Via The OMethod, Christen Leggett
Master's Theses
When an oil refining company is drilling for oil, much of the oil gets left behind after the first drilling. Enhanced oil recovery techniques can be used to recover more of that oil, but these methods are quite expensive. When a company is deciding if it is worth their time and money to use enhanced oil recovery methods, simulations can be used to model oil flow, showing the behavior and location of the oil. While methods do exist to model this flow, these methods are often very slow and inaccurate due to a large domain and wide variance in coefficients ...
Function Space Tensor Decomposition And Its Application In Sports Analytics, Justin Reising
Function Space Tensor Decomposition And Its Application In Sports Analytics, Justin Reising
Electronic Theses and Dissertations
Recent advancements in sports information and technology systems have ushered in a new age of applications of both supervised and unsupervised analytical techniques in the sports domain. These automated systems capture large volumes of data points about competitors during live competition. As a result, multirelational analyses are gaining popularity in the field of Sports Analytics. We review two case studies of dimensionality reduction with Principal Component Analysis and latent factor analysis with NonNegative Matrix Factorization applied in sports. Also, we provide a review of a framework for extending these techniques for higher order data structures. The primary scope of this ...
Recover Data In Sparse Expansion Forms Modeled By Special Basis Functions, Abdulmtalb Mohamed Hussen
Recover Data In Sparse Expansion Forms Modeled By Special Basis Functions, Abdulmtalb Mohamed Hussen
Dissertations
In data analysis and signal processing, the recovery of structured functions (in terms of frequencies and coefficients) with respect to certain basis functions from the given sampling values is a fundamental problem. The original Prony method is the main tool to solve this problem, which requires the equispaced sampling values.
In this dissertation, we use the equispaced sampling values in the frequency domain after the short time Fourier transform in order to reconstruct some signal expansions, such as the exponential expansions and the cosine expansions. In particular, we consider the case that the phase of the cosine expansion is quadratic ...
Applying Methods Of The Theory Of Heterogeneous Populations To The Problem Of Pathogen CoExistence, Eric Sarfo Amponsah
Applying Methods Of The Theory Of Heterogeneous Populations To The Problem Of Pathogen CoExistence, Eric Sarfo Amponsah
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.