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Quantics Tensor Trains: The Study Of A Continuous Lattice Model And Beyond, Aleix Bou Comas

Dissertations, Theses, and Capstone Projects

This four-chapter dissertation studies the efficient discretization of continuous variable functions with tensor train representation. The first chapter describes all the methodology used to discretize functions and store them efficiently. In this section, the algorithm tensor renormalization group is explained for self-containment purposes. The second chapter centers around the XY model. Quantics tensor trains are used to describe the transfer matrix of the model and compute one and two-dimensional quantities. The one dimensional magnitudes are compared to analytical results with an agreement close to machine precision. As for two dimensions, the analytical results cannot be computed. However, the critical temperature …

Identifying Graduate Students’ Instructional Strategies And Approaches Towards Teaching Employable Skills, Elizabeth S. Che

Dissertations, Theses, and Capstone Projects

College instruction tends to focus on imparting disciplinary knowledge rather than employable broad-based skills emphasized by undergraduate guidelines. The lack of emphasis on broad-skill development may leave many undergraduate students unprepared for the workforce. Graduate students who are future professoriate, are teaching undergraduate courses with various attitudes and strategies. This dissertation comprises three published studies that used data from two surveys identifying graduate students’ instructional strategies and approaches to teaching employable skills in their courses.

The first study asked whether graduate students teaching undergraduate courses (N = 114; 70.2% women, M age = 30 years) aim to teach employable …

Three Essays Applying Dynamic Models In Economics, Finance, And Machine Learning, Lucas C. Dowiak

Dissertations, Theses, and Capstone Projects

This dissertation is a composition in three parts. Collectively, these essays investigate dynamic methods and their application in the fields of Economics, Finance, and Machine Learning. It pulls liberally from all three. In particular, this dissertation makes repeated use of multi-state modeling frameworks popular in Economics to bring a faceted view to the underlying data and detect its hidden heterogeneity. The challenge of modeling financial assets and estimating their dependence is another focus. For stimulus, concepts in the Machine Learning field are brought in to aid or compete with established econometric techniques.

Econometric Applications of the Hierarchical Mixture-of-Experts

In this …

Math Anxiety And Avoidance Of Mathematics At The College Level: Undergraduate And Their Sense Of Not Belonging In Math Classrooms, Kay C. Lashley

Dissertations, Theses, and Capstone Projects

Negative experiences and perceptions of the subject often influence the avoidance of mathematics at the college level. This study explored this issue by investigating the relationship between math anxiety, belongingness in math classes, and help-seeking behaviors among STEM and non-STEM majors. The study involved 41 participants, including 24 STEM majors and 17 non-STEM majors, all undergraduate college students aged 18 to 54. The results revealed that most students (39 out of 41) felt a sense of belonging in their math classes. Correlation analyses showed a significant positive relation between math anxiety and self-reported math competency, “r(41)= .44, p < .01,” and that higher levels of math anxiety were linked to a greater likelihood of avoiding math classes, “r(41)= .35, p = .02”. Students with lower math anxiety were marginally more inclined to seek help from family or friends, “ X2 (12, N = 42) = 20.1, p = .065”. However, there were no significant differences in help-seeking behaviors between STEM and non-STEM majors. Overall, these findings are consistent with previous studies. Nevertheless, more research and interventions are needed to develop supportive math learning environments at the college level, especially for students with higher anxiety.

Supporting Latinx Preservice Teachers For Implementing Phenomenon-Based Science To Promote Their Understanding Of The Three Dimensions Of Science Learning With An Emphasis On The Nature Of Science (Nos), Leslie Y. Garrido

Theses and Dissertations

As the adoption rate of the Next Generation Science Standards (NGSS) continues to rise in the United States, there is an increasing need for the development of high-quality instructional materials that reflect NGSS and effectively prepare teachers for its implementation. The NGSS aim to foster an understanding of three interconnected dimensions in students: science and engineering practices (SEP), crosscutting concepts (CCC), and disciplinary core ideas (DCI), along with an understanding of the nature of science (NOS). These standards envision students continuously revising their knowledge through the investigation of real-world phenomena using these dimensions. The State of Texas recently adopted and …

A Novel Research Design: Using Multilevel Discrete-Time Survival Analysis To Investigate The Effect Of Calculus I On Engineering Student Persistence, Hayaam Osman, Matthew Ohland

School of Engineering Education Faculty Publications

The persistence of engineering students through graduation continues to be a concern in higher education. Previous studies have highlighted a link between students' performance in introductory mathematics courses and graduation rates. Focusing on a crucial foundational course within the engineering curriculum, the purpose of this study is to investigate how students’ performance in Calculus I impact their persistence in the engineering program. Utilizing data from 22 diverse educational institutions using Multiple-Institution Database for Investigating Engineering Longitudinal Development (MIDFIELD), multilevel discrete-time survival analysis is employed to examine the longitudinal persistence patterns among the nested structure of students within institutions. Discrete-time analysis …

Deformable Motion Compensation In Interventional Cone-Beam Ct With A Context-Aware Learned Autofocus Metric, Heyuan Huang, Yixuan Liu, Jeffrey H Siewerdsen, Alexander Lu, Yicheng Hu, Mathias Unberath, Alejandro Sisniega

Faculty, Staff and Student Publications

Purpose: Interventional Cone-Beam CT (CBCT) offers 3D visualization of soft-tissue and vascular anatomy, enabling 3D guidance of abdominal interventions. However, its long acquisition time makes CBCT susceptible to patient motion. Image-based autofocus offers a suitable platform for compensation of deformable motion in CBCT, but it relies on handcrafted motion metrics based on first-order image properties and that lack awareness of the underlying anatomy. This work proposes a data-driven approach to motion quantification via a learned, context-aware, deformable metric, VIFDL , that quantifies the amount of motion degradation as well as the realism of the structural anatomical content in the image. …

Positron Emission Tomography In Oncology And Environmental Science, Samantha Delaney

Dissertations, Theses, and Capstone Projects

The last half century has played witness to the onset of molecular imaging for the clinical assessment of physiological targets. While several medical imaging modalities allow for the visualization of the functional and anatomical properties of humans and living systems, few offer accurate quantitation and the ability to detect biochemical processes with low-administered drug mass doses. This limits how physicians and scientists may diagnose and treat medical issues, such as cancer, disease, and foreign agents.

A promising alternative to extant invasive procedures and suboptimal imaging modalities to assess the nature of a biological environment is the use of positron emission …

Listening For Lemurs: Translating Black-And-White Ruffed Lemur (Varecia Variegata) Vocalizations Into Conservation Insights Through Acoustic Monitoring, Carly H. Batist

Dissertations, Theses, and Capstone Projects

The field of bioacoustic monitoring has undergone a significant evolution in recent years, driven by technological innovations that have revolutionized how researchers study animal vocalizations. Traditionally, bioacoustics was rooted in active acoustic monitoring (AAM), involving human observers using recorders in the field to study animal sounds and understand species' vocal communication. However, the emergence of passive acoustic monitoring (PAM) has introduced a new complementary approach, utilizing specialized recorders placed in ecosystems to autonomously capture sounds at wide spatial and temporal scales. My dissertation adopts a translational approach to bioacoustic monitoring, integrating both AAM and PAM techniques to study and survey …

Context In Computer Vision: A Taxonomy, Multi-Stage Integration, And A General Framework, Xuan Wang

Dissertations, Theses, and Capstone Projects

Contextual information has been widely used in many computer vision tasks, such as object detection, video action detection, image classification, etc. Recognizing a single object or action out of context could be sometimes very challenging, and context information may help improve the understanding of a scene or an event greatly. However, existing approaches design specific contextual information mechanisms for different detection tasks.

In this research, we first present a comprehensive survey of context understanding in computer vision, with a taxonomy to describe context in different types and levels. Then we proposed MultiCLU, a new multi-stage context learning and utilization framework, …

Modeling And Dynamics Of Capillary Bridges, Moyosore Odunsi

Dissertations, Theses, and Capstone Projects

Capillary bridges are ubiquitous in nature and have important implications in processes like inkjet printing. They are an important area of study not only because of their industrial applications but because many of the questions in capillary bridge research are applicable to other systems. For example, they exhibit pinning and unpinning patterns that are similar to those in sliding droplets. The rules underlying this pinning are essential to predicting liquid shapes and understanding how contact lines move across surfaces. Many previous studies have focused on axisymmetric capillary bridges and neglected to model the tangential forces that arise due to asymmetry. …

Framing Teacher Migration: An Analysis Of Jamaican Media Coverage From 2016–2023, Denise Wiley

Dissertations, Theses, and Capstone Projects

The emigration of teachers from Jamaica has attracted significant media coverage highlighting an increase in resignations and vacancies in many classrooms. This paper analyzes media framing on the topic, and how such framing might preclude the exploration of policy alternatives to address the issue. Methods A qualitative content analysis was conducted on articles published between August 1, 2016, and September 30, 2023. Relevant articles were retrieved from the Gleaner digital archive. Using a survey instrument of 13 questions, a total of 78 articles were analyzed for coding. Results Four frames emerged from the analysis: crisis – urgent attention is required …

Parabolic And Non-Parabolic Surfaces With Small Or Large End Spaces Via Fenchel-Nielsen Parameters, Michael Antony Pandazis

Dissertations, Theses, and Capstone Projects

We consider conditions on the Fenchel-Nielsen parameters of a Riemann surface X that determine whether or not a surface X is parabolic. Fix a geodesic pants decomposition of a surface and call the boundary geodesics in the decomposition cuffs. For a zero or half-twist flute surface, we prove that parabolicity is equivalent to the surface having a covering group of the first kind. Using that result, we give necessary and sufficient conditions on the Fenchel-Nielsen parameters of a half-twist flute surface X with increasing cuff lengths such that X is parabolic. As an application, we determine whether or not each …

Identification Of Mandibular And Maxillary Molars Of Old World Monkeys (Primates, Cercopithecidae) Using 3d Geometric Morphometrics, Eric John Mazelis

Dissertations, Theses, and Capstone Projects

The present study is an attempt to take steps towards quantifying 3D molar shapes of the primate family Cercopithecidae to construct a framework for the automation of identifying the anatomical position and taxonomic affiliations of isolated molars. I introduce a new landmark protocol and present a proposed workflow model which can be applied in the future. For the purpose of this study, I collected and compiled the largest sample of 3D surface scans of varying wear grades of all six cercopithecid molar positions (i.e., M¹-M³ and M₁-M₃). The sample comprises 2641 specimens from …

Communication Challenges In Underwater Wireless Networks: Mac Protocols And Software Solutions, Dmitrii Dugaev

Dissertations, Theses, and Capstone Projects

Underwater wireless networks (UWNs) represent a diverse and intriguing research domain, encompassing a wide array of scientific and industrial applications. This dissertation delves into the communication challenges at the Medium Access Control (MAC) layer within UWNs, stemming from the distinctive signal propagation conditions and the harshness of the deployment environment. The manuscript provides comprehensive coverage of key aspects of UWNs, including potential applications, communication protocols, methodologies employed in such networks, and existing software solutions that facilitate simulation, emulation, and real testbed scenarios for underwater research endeavors. Furthermore, this research introduces innovative software and communication solutions designed to facilitate the seamless …

Higher Diffeology Theory, Emilio Minichiello

Dissertations, Theses, and Capstone Projects

Finite dimensional smooth manifolds have been studied for hundreds of years, and a massive theory has been built around them. However, modern mathematicians and physicists are commonly dealing with objects outside the purview of classical differential geometry, such as orbifolds and loop spaces. Diffeology is a new framework for dealing with such generalized smooth spaces. This theory (whose development started in earnest in the 1980s) has started to catch on amongst the wider mathematical community, thanks to its simplicity and power, but it is not the only approach to dealing with generalized smooth spaces. Higher topos theory is another such …

The Application Of Bayesian Meta-Analytic Models In Cognitive Research On Neurodevelopmental Disorders, Nic Zapparrata

Dissertations, Theses, and Capstone Projects

Meta-analysis is the systematic review and quantitative synthesis of specific areas in literature and is an important quantitative tool for researchers interested in synthesizing a particular body of research. The current research used meta-analysis to investigate processing speed in two neurodevelopmental disorders. This dissertation consisted of four meta-analytic papers. The first paper was a meta-analysis that synthesized a large body of research on processing speed, measured via reaction time (RT) measures, in groups of individuals diagnosed with autism spectrum disorder (ASD) versus age-matched neurotypical comparison groups. This research was motivated by two previous meta-analyses in the literature on processing speed …

Effect Of Magnetic Draping On Satellite Galaxies In Clusters, Vanessa Brown

Dissertations, Theses, and Capstone Projects

Galaxy evolution has been observed to be influenced by environment. Satellite galaxies orbiting within clusters can experience changes in morphology and composition through various mechanisms such as ram-pressure stripping (RPS), which removes a galaxy’s interstellar medium as it passes through the cluster via direct interaction with the hot intracluster medium gas. An open question is whether intracluster magnetic fields affect galaxy evolution, for example by forming a magnetic layer around infalling galaxies (called magnetic draping) and mitigating gas removal by RPS. Using the code GADGET-3, we compare global properties and mass distributions within identical cluster simulations run with and without …

What Does It Mean To Be Kindergarten "Ready?": Trends In Parents' Expectations And Families' School Experiences Across Ses, Lisa Babel

Dissertations, Theses, and Capstone Projects

The purpose of this study is to explore the meaning of Kindergarten “ready,” especially as the practice interacts with educational inequity. Past research used secondary data to show that SES relates to the prevalence of redshirting where children’s school entry is delayed by one year with the idea that the older they are when they start school, the more advanced they will be, but studies do not explain why children from families with lower incomes are advised to start Kindergarten later than others (Greensburg & Winsler, 2020; Reardon & Portilla, 2016). Moreover, family expectations of the Kindergarten participation process, including …

Development And Application Of Magnus Expansion Based Propagators For Problems In Spectroscopy And Quantum Dynamics, Taner M. Ture

Dissertations, Theses, and Capstone Projects

Stable and accurate numerical propagators of time-evolution equations in quantum mechanics are required to capture correct dynamical behavior, especially in the long time limit. Magnus expansion (ME) provides a general way to expand the real time propagator of a time dependent Hamiltonian within the exponential such that the unitarity is satisfied at any order. Integrators are developed by truncating the ME and using explicit integration of Lagrange interpolation formulas for the time dependent Hamiltonian within each time interval. The derived approximations are studied in a numerical test and compared to other available expressions. The sixth order expression is applied to …

Consciousness And Physicalism, Brian Mcgowan

Dissertations, Theses, and Capstone Projects

Physicalism is a philosophy of mind which attempts to explain consciousness as resulting from physical causes. The lack of a complete and consistent mathematical theory to explain physical causation has led other philosophers of mind to propose that consciousness is a nonphysical essence, property, or substance. However, the idea that physics can be defined atomically and/or deterministically leads to explanatory problems for consciousness, as well as for the dualisms which explain consciousness under these assumptions. This thesis advances a position called “continuous physicalism” which takes all material to result from deformations in the physical medium of space, and any changes …

Sigma_N-Correct Forcing Axioms, Benjamin P. Goodman

Dissertations, Theses, and Capstone Projects

I introduce a new family of axioms extending ZFC set theory, the Sigma_n-correct forcing axioms. These assert roughly that whenever a forcing name a' can be forced by a poset in some forcing class Gamma to have some Sigma_n property phi which is provably preserved by all further forcing in Gamma, then a' reflects to some small name such that there is already in V a filter which interprets that small name so that phi holds. Sigma_1-correct forcing axioms turn out to be equivalent to classical forcing axioms, while Sigma_2-correct forcing axioms for Sigma_2-definable forcing classes are consistent relative to …

Creatively Addressing The Employment Gap: Using Creativity And The Arts To Help Autistic Adolescents And Young Adults Build Skills For Employment, Eliana Rachel Grossman

Dissertations, Theses, and Capstone Projects

Neurodiversity-affirmative autism frameworks present a shift from deficit-based models of autism to the recognition that autism is but one of many facets of biodiversity that should be affirmed and embraced. However, there is little research examining links between creativity and autism that has adopted a neurodiversity-affirming approach. The dissertation aimed to expand upon the nascent interdisciplinary link between neurodiversity-affirmative autism research and creativity to 1) understand the creative experiences of autistic adolescents and young adults and 2) address the critical issue of chronic unemployment faced by autistic people.

The first study examined the perspectives of autistic adolescents and young adults …

Essays On Empirical Economics, Dorian Abreu

Dissertations, Theses, and Capstone Projects

CHAPTER 1: HIGH FREQUENCY TRADING AND MARKET LIQUIDITY

This paper provides evidence of the impact of High Frequency Trading (HFT) on liquidity. I use data from the NASDAQ OMX that identifies the trades of 26 HFT firms on 120 randomly selected stocks listed on the NASDAQ. I find that HFT improves overall market liquidity. However, the liquidity improvements come at the expense of the non high frequency traders. Results indicate that trades in which the HFT supply liquidity to non HFTs have a significantly wider spreads. This impact is larger for smaller cap stocks. Additionally, price impacts are largest when …

Speeding Up Coded Distributed Machine Learning, Xian Su

Dissertations, Theses, and Capstone Projects

The advancement of artificial intelligence has facilitated the generation of vast datasets, whose size often exceeds tens of terabytes. Meanwhile, machine learning has become the most important technique for big data analytics, and sophisticated models with thousands or even millions of parameters are designed to leverage big data. However, processing big data and training large models necessitate significant storage and computational resources, which has been a bottleneck in the development of artificial intelligence. Distributed computing, such as MapReduce, has been proposed to surmount the computational bottlenecks associated with single-machine analysis.

Although distributed computing harnesses the collective power of numerous less …

Explicit Composition Identities For Higher Composition Laws In The Quadratic Case, Ajith A. Nair

Dissertations, Theses, and Capstone Projects

The theory of Gauss composition of integer binary quadratic forms provides a very useful way to compute the structure of ideal class groups in quadratic number fields. In addition to that, Gauss composition is also important in the problem of representations of integers by binary quadratic forms. In 2001, Bhargava discovered a new approach to Gauss composition which uses 2x2x2 integer cubes, and he proved a composition law for such cubes. Furthermore, from the higher composition law on cubes, he derived four new higher composition laws on the following spaces - 1) binary cubic forms, 2) pairs of binary quadratic …

Machine-Learning Qsar-Based Novel Drug Identification To Inhibit Retinoblastoma Extracellular Vesicle Release And Metastatic Signaling, Kunhui Huang

Dissertations, Theses, and Capstone Projects

Extracellular vesicles (EVs) are lipid-enclosed particles that are generated by most types of cells and have been identified as an important mechanism for cell communication aside from cell direct contact. EVs contain a variety of functional macromolecules including proteins, lipids, RNA, which can be transferred from the host cells to target cells at a distance. The molecular pathways of EV biogenesis have been studied intensely in recent decades and the process involves several key genes and proteins. Cancer cell released EVs target distant tissues and upregulate signals that are attractive to cancer cell homing, playing a role in tumor progression …

Unconventional Computing With Photonic Oscillator Networks, Mostafa Honari Latifpour

Dissertations, Theses, and Capstone Projects

The ever-increasing demand for data processing and the challenges in scaling traditional computing architectures are driving intensive research into alternative computing paradigms. Optical computing has garnered renewed attention since the 2010s, driven by its potential to accelerate specialized computational tasks such as combinatorial optimization and neural networks.

Coherent light sources including lasers and parametric oscillators have been around for decades and become indispensable tools in modern technology, but these photonic oscillators are also nonlinear dynamical systems that can exhibit emergent, complex phenomena, especially when coupled in arrays. These nonlinear optical systems have recently been shown to be capable of doing …

From “Total Destruction” To “Total Dictatorship”: The Influence Of Ernst Jünger’S Visionary Fascism, Nick Schiff

Dissertations, Theses, and Capstone Projects

This paper seeks to answer one central question: How can the life and work of Ernst Jünger help illuminate the development of fascist ideas, culture, politics, and power across Europe from 1920-1945? The components of that question are: what were the core elements of Jünger’s aesthetics, morality, and politics? How did he synthesize these elements to create his influential vision of German fascism? What were Jünger’s interactions and exchanges with other European fascists, as well as influential Nazis including Carl Schmitt, Joseph Goebbels, and Adolph Hitler himself? How did Jünger’s new Fascist politics and aesthetics affect them? I argue that …

Aspects Of Parity Breaking In Classical And Quantum Fluids, Dylan J. Reynolds

Dissertations, Theses, and Capstone Projects

Parity-breaking is ubiquitous across many scales of physics, from the rotation of galaxies at the largest of scales, to the cyclotron orbits of electrons at the microscopic scale. In describing the collective dynamics of many particle systems, parity breaking effects typically originate from some form of chirality, such as angular momentum, at the level of the constituent particles. External forces can also induce chiral motion, with the primary examples being the Lorentz and Coriolis forces.

The effects of parity breaking are perhaps most strikingly seen in active matter, systems of complex particles that tend to convert energy into some directed …