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Data-Centric Ai: Taming Ai-Ready Feature Space From Decision-Making To Generative-Ai Perspectives, Dongjie Wang Jan 2024

Data-Centric Ai: Taming Ai-Ready Feature Space From Decision-Making To Generative-Ai Perspectives, Dongjie Wang

Graduate Thesis and Dissertation 2023-2024

Unlike humans, AI systems are brittle and not robust. They often struggle when faced with novel situations, and are highly sensitive to small perturbations, which can lead to catastrophically poor performance. These systems comprise two main components: the model and the data. In recent decades, research has primarily focused on models, emphasizing advanced structures or algorithms to enhance AI performance. However, the data-centric aspect consumes most of the time and resources of human experts and greatly influences AI systems. Furthermore, the gains from the model-centric part are reaching a plateau. Thus, I shifted my research focus toward data-centric AI in …


A Comprehensive And Comparative Examination Of Healthcare Data Breaches: Assessing Security, Privacy, And Performance, Mohammed Al Kinoon Jan 2024

A Comprehensive And Comparative Examination Of Healthcare Data Breaches: Assessing Security, Privacy, And Performance, Mohammed Al Kinoon

Graduate Thesis and Dissertation 2023-2024

The healthcare sector is pivotal, offering life-saving services and enhancing well-being and community life quality, especially with the transition from paper-based to digital electronic health records (EHR). While improving efficiency and patient safety, this digital shift has also made healthcare a prime target for cybercriminals. The sector's sensitive data, including personal identification information, treatment records, and SSNs, are valuable for illegal financial gains. The resultant data breaches, increased by interconnected systems, cyber threats, and insider vulnerabilities, present ongoing and complex challenges. In this dissertation, we tackle a multi-faceted examination of these challenges. We conducted a detailed analysis of healthcare data …


Hierarchical Heterogeneous Catalysts For Hydrogenation Reactions, Azina Rahmani Jan 2024

Hierarchical Heterogeneous Catalysts For Hydrogenation Reactions, Azina Rahmani

Graduate Thesis and Dissertation 2023-2024

Noble metal catalysts are widely used for their remarkable activity and stability. However, their sustainability is challenged by their scarcity, both in terms of Earth-abundance and production sources. To ensure their sustainable use and long-term availability, it is essential to design new catalytic systems that minimize noble metal usage, maximize reactivity, and allow easy recovery and reuse. One promising approach involves using supported noble metal nanocatalysts (NCs) that enables low loadings of active materials, prevents NCs agglomeration during catalysis, and enhances separability of the catalysts from products. Nickel foams, as NCs support, stand out for their contiguous macroporous 3-D structure …


An Exploration Of Administrative Implementation Of Academically Challenging Curriculum To Enhance Learning (Accel- Fl Statute 1002.3105) In Florida Elementary Schools, Patricia L. Cummings Jan 2024

An Exploration Of Administrative Implementation Of Academically Challenging Curriculum To Enhance Learning (Accel- Fl Statute 1002.3105) In Florida Elementary Schools, Patricia L. Cummings

Graduate Thesis and Dissertation 2023-2024

This study investigated the content of 14 Florida district's Student Progression Plans and supportive district documentation to gain a better understanding of each district's implementation of Florida statute 1002.3105, ACCEL; explored the knowledge, attitudes, and experiences of principals of K-5 schools in two large counties in Florida in enacting ACCEL; and utilized the study's findings to create a guide for administrators. The first phase of the study analyzed the 14 largest Florida public school districts utilizing a content analysis and checklists on best practice in acceleration policy from Lupkowski-Shoplik et al. (2018) to examine each district's implementation. The second phase …


Sensing Using Angular Momentum Of Light: From Polarization To Optical Vortices, Mahdi Eshaghi Jan 2024

Sensing Using Angular Momentum Of Light: From Polarization To Optical Vortices, Mahdi Eshaghi

Graduate Thesis and Dissertation 2023-2024

Light is a powerful tool for probing a variety of physical phenomena. This dissertation explores some of the complex properties of light, with a particular emphasis on its angular momentum, encompassing the concepts of polarization and optical vortices that illustrate how light spins and orbits, respectively. The study includes a detailed examination of light polarization and introduces a number of innovative measurement techniques. It also extends the research on optical vortices by analyzing their interaction behavior with various types of inhomogeneous media. The comprehensive investigations are aimed at applications in sensing and communications.

Regarding light polarization, this dissertation presents a …


Adaptive Beyond Von-Neumann Computing Devices And Reconfigurable Architectures For Edge Computing Applications, Mousam Hossain Jan 2024

Adaptive Beyond Von-Neumann Computing Devices And Reconfigurable Architectures For Edge Computing Applications, Mousam Hossain

Graduate Thesis and Dissertation 2023-2024

The Von-Neumann bottleneck, a major challenge in computer architecture, results from significant data transfer delays between the processor and main memory. Crossbar arrays utilizing spin-based devices like Magnetoresistive Random Access Memory (MRAM) aim to overcome this bottleneck by offering advantages in area and performance, particularly for tasks requiring linear transformations. These arrays enable single-cycle and in-memory vector-matrix multiplication, reducing overheads, which is crucial for energy and area-constrained Internet of Things (IoT) sensors and embedded devices.

This dissertation focuses on designing, implementing, and evaluating reconfigurable computation platforms that leverage MRAM-based crossbar arrays and analog computation to support deep learning and error …


The Use Of Graphic Organizers On The Reading Comprehension Of High School Students, Beckylee Ramos Lorenzo Jan 2024

The Use Of Graphic Organizers On The Reading Comprehension Of High School Students, Beckylee Ramos Lorenzo

Graduate Thesis and Dissertation 2023-2024

This study seeks to identify correlation in the use of graphic organizers in reading comprehension of twelfth grade English language arts students. Specifically, this study seeks to determine if the use of graphic organizers in the teaching of reading has impacts on the reading comprehension of 12th grade English language arts students. The study intends to contribute to closing an information gap surrounding the effects of using instructional strategies such as graphic organizers in reading comprehension in a twelfth-grade English class. The research questions helped to guide this study in identifying descriptive statistics within PSAT reading comprehension scores during the …


A Narrative Inquiry On Lived Experiences That Support Recruitment And Retention Of Black Male Mathematics Teachers, Shane Wiggan Jan 2024

A Narrative Inquiry On Lived Experiences That Support Recruitment And Retention Of Black Male Mathematics Teachers, Shane Wiggan

Graduate Thesis and Dissertation 2023-2024

There is a shortage of Black male teachers in the United States and an even smaller proportion of Black male mathematics teachers. With the population of students in the United States becoming increasingly more diverse, we would greatly benefit from a teaching workforce that aligns with the rich diversity of the student population they serve. This narrative inquiry explored the lived experiences that attracted Black men to the mathematics teaching career and what may have inspired them to continue teaching. The goal was for the data collected through the narratives of four Black male teachers, two former teachers, and two …


Development And Content Validation Of The Student Perception Of School Safety (Spss) Scale: An Expert Evaluation Of Item Relevance Ratings By Law Enforcement And School Guardians, Diana D. Scott Jan 2024

Development And Content Validation Of The Student Perception Of School Safety (Spss) Scale: An Expert Evaluation Of Item Relevance Ratings By Law Enforcement And School Guardians, Diana D. Scott

Graduate Thesis and Dissertation 2023-2024

There is "no one-size-fits-all solution" to school safety (Cybersecurity & Infrastructure Security Agency, 2022. p. 7). The growing number of school shootings and health problems at schools raise serious questions about the dimensions of school safety that should be measured. Prior extensive surveys measuring elementary student's views of safety in relation to relevant safety issues have not been conducted. There were four objectives for this study: 1) to investigate relevant dimensions of school safety and understand safety procedures that are currently in use; 2) to formulate and organize questions that would be approved to gauge elementary students' perceptions about school …


Exploring Mathematics Teachers’ Understanding And Implementation Of Effective Questioning As A Pedagogical Tool, Joslyn M. Vilabrera Jan 2024

Exploring Mathematics Teachers’ Understanding And Implementation Of Effective Questioning As A Pedagogical Tool, Joslyn M. Vilabrera

Graduate Thesis and Dissertation 2023-2024

This dissertation explores elementary mathematics teachers' understanding and implementation of effective questioning techniques within the instructional context. A qualitative, multiple case study design was employed for this dissertation in practice. This study was conducted in a K-5 school in Florida, focusing on four elementary school teachers in grades 3-5. Data collected included semi-structured interviews and live observations. Analysis of transcripts from interviews and observational notes provided an insider look into teachers’ planning and implementation of questioning.

The research was driven by two research questions: How do teachers implement questioning in mathematics instruction? and What factors influence teachers' planning and implementation …


A Content Analysis Of The Mathematics Curriculum Progression For Students Taking Algebra I And Geometry Honors Before High School, Yeidi Diaz Reyes Jan 2024

A Content Analysis Of The Mathematics Curriculum Progression For Students Taking Algebra I And Geometry Honors Before High School, Yeidi Diaz Reyes

Graduate Thesis and Dissertation 2023-2024

ABSTRACT

This qualitative content analysis study examined different middle school mathematics pathways from a large urban district in Florida to determine possible gaps in the accelerated pathways and differences between the district’s learning targets and Florida’s Benchmarks for Excellent Student Thinking (B.E.S.T.) Standards. Additionally, the accelerated pathways were compared to the Southern Regional Educational Board (SREB) 12 Indicators to identify possible missing content necessary to succeed in Algebra I Honors and Geometry Honors. The study aimed to answer three research questions: (1) In what ways do Florida’s B.E.S.T. Standards included in the non-accelerated and accelerated pathways for middle school mathematics …


The Role Of Mathematics Anxiety On The Cognition And Metacognition Of Middle School Algebra 1 Students During Cognitively Demanding Tasks, Julia Keith Jan 2024

The Role Of Mathematics Anxiety On The Cognition And Metacognition Of Middle School Algebra 1 Students During Cognitively Demanding Tasks, Julia Keith

Graduate Thesis and Dissertation 2023-2024

This dissertation examines how mathematics anxiety influences the cognitive and metacognitive processes of middle school Algebra 1 students during cognitively demanding tasks. Individuals who experience mathematics anxiety may feel lifelong consequences and avoid mathematics courses at the secondary and college levels, which limits access to careers in STEM fields. Research suggests that a variety of factors may impact an individual’s mathematics anxiety. With an increase in the number of students enrolled in Algebra 1 at the middle school level, this explanatory sequential mixed-method study examines how mathematics anxiety influences students’ cognitive and metacognitive processes as they complete cognitively demanding Algebra …


An Ethnographic Study On How Mandated Curriculum Influences Mathematics Instruction At A State-Supervised School, Laura T. Pimentel Jan 2024

An Ethnographic Study On How Mandated Curriculum Influences Mathematics Instruction At A State-Supervised School, Laura T. Pimentel

Graduate Thesis and Dissertation 2023-2024

This ethnographic study focused on understanding the culture and describing the experiences of elementary mathematics teachers as they used a mandated curriculum and scope and sequence at a state-supervised school. The scope and sequence was created and provided by the school district with the expectation of implementation with high fidelity by the Bureau of School Improvement within the state of Florida. This study used key informant interviews, Professional Learning Community observations, and classroom observations of mathematics teachers in grades three through five to analyze and describe how the school culture of planning and instruction influenced mathematics teaching. Findings suggest that …


A Case Study On The Impact Of Intermediate Elementary Teachers’ Pedagogical Content Knowledge And Expectancy Beliefs Of Students On Scaffolding Practices In Mathematics Intervention, Deborah Blakeslee Jan 2024

A Case Study On The Impact Of Intermediate Elementary Teachers’ Pedagogical Content Knowledge And Expectancy Beliefs Of Students On Scaffolding Practices In Mathematics Intervention, Deborah Blakeslee

Graduate Thesis and Dissertation 2023-2024

This study investigated the impact expectancy beliefs had on third through fifth-grade teachers’ instructional teaching practices. These instructional teaching practices included how teachers used their pedagogical content knowledge, specifically their content knowledge for teaching mathematics and formative assessment, to make scaffolding decisions while supporting students in mathematics intervention. The investigation included the analysis of stratified sampling procedures, expectancy beliefs, observations, and self-reported scaffolding ratings. A multiple case study was conducted to understand how four participants, the teachers in the study, expected students to perform in mathematics intervention along with the participants’ pedagogical content knowledge and the impact those beliefs and …


Comprehensive Analysis Of The Intersection Between Cryptocurrency And Infrastructure Security, Ayodeji Adeniran Jan 2024

Comprehensive Analysis Of The Intersection Between Cryptocurrency And Infrastructure Security, Ayodeji Adeniran

Graduate Thesis and Dissertation 2023-2024

Cryptocurrencies are experiencing a significant surge, with the total valuation surpassing two trillion US dollars at specific points. This remarkable growth is underscored by the existence of over 23,000 different cryptocurrencies as of 2024, according to CoinMarketCap. These digital assets aim to break down borders and enhance access to financial services, fostering a more inclusive global economy.

However, the swift ascent and widespread adoption of cryptocurrencies come with considerable risks. The growing popularity and promise of these digital assets have opened up new avenues for malicious actors. Cybercriminals are exploiting public infrastructures, the cloud, the metaverse, and various websites to …


A Scaffolded Corequisite Curriculum For College Algebra Students: Effects On Achievement And Motivation, Patrick R. Sandefur Jan 2024

A Scaffolded Corequisite Curriculum For College Algebra Students: Effects On Achievement And Motivation, Patrick R. Sandefur

Graduate Thesis and Dissertation 2023-2024

This study chronicles the implementation of a scaffolded corequisite College Algebra curriculum at a Southeast community college and the corresponding effects on student motivation and achievement. The scaffolded curriculum incorporates academic-related skills, academic support, and student motivation to promote success in the gateway college math course. The corequisite model allows students to bypass a prerequisite course and enroll directly in the college-level coursework, with remedial content from the prerequisite course delivered concurrently through supplemental learning sessions or labs. In fall 2023, data were collected from five College Algebra courses, including student demographic data, from two evaluative instruments administered at the …


Exploring The Impact Of Virtual Simulation Experience On Teacher Candidates In Communication With Real-Life English Learners (Els): A Case Study, Laila Noor Jan 2024

Exploring The Impact Of Virtual Simulation Experience On Teacher Candidates In Communication With Real-Life English Learners (Els): A Case Study, Laila Noor

Graduate Thesis and Dissertation 2023-2024

As the number of English Learners (ELs) in US schools continues to rise, the need for effective instructional strategies to bridge the achievement gap between these learners and their English-proficient peers become more crucial to reduce the inequality among language minority groups. This study investigates the impact of virtual simulation experiences in developing communication strategies among teacher candidates for teaching ELs. Focused on the real and simulated teaching encounters of teacher candidates via the TeachLivE platform, this case study seeks to understand how these virtual experiences contribute to the practical application and transformation of teaching skills for effective EL communication. …


Embracing Innovation In Education: Investigating The Use And Impact Of Ai Assistants Among Preservice Teachers, Tiffanie J. Zaugg Jan 2024

Embracing Innovation In Education: Investigating The Use And Impact Of Ai Assistants Among Preservice Teachers, Tiffanie J. Zaugg

Graduate Thesis and Dissertation 2023-2024

This study investigates the potential of Artificial Intelligence (AI) assistants in reducing administrative burdens on public school teachers in the United States, where approximately $1.04 billion annually is allocated for teachers to perform non-teaching tasks. As AI technologies advance, their integration into educational settings presents an opportunity to automate 20-40% of administrative activities, reallocating up to 13 hours per week toward more impactful educational engagements. This shift could significantly mitigate teacher burnout, a significant factor in the profession’s high turnover rates. The introduction of the AI chatbot, “EL” (Education and Learning in Inclusive Environments), is posited as a transformative tool …


Design Automation For Next-Generation In-Memory Computing Systems, Sven Thijssen Jan 2024

Design Automation For Next-Generation In-Memory Computing Systems, Sven Thijssen

Graduate Thesis and Dissertation 2023-2024

Since the dawn of computing, all practical computing systems, from small laptops and cellphones to large mainframes and supercomputers, have been based on the Von Neumann architecture. In this architectural model, computing units and storage units are physically separated, requiring the computing system to spend most of its time and energy on moving data around. As many recently developed applications are driven by large volumes of digital data, the Von Neumann architecture does not scale well with today’s computational demands. In-memory computing using emerging non-volatile device technologies is a promising orthogonal approach as it mitigates the adverse effects of the …


An Analysis Of Factor Affecting Graduation Rates In A Large Suburban Florida School District During The Pandemic, Brittany Campbell Jan 2024

An Analysis Of Factor Affecting Graduation Rates In A Large Suburban Florida School District During The Pandemic, Brittany Campbell

Graduate Thesis and Dissertation 2023-2024

The purpose of this study was to analyze factors affecting graduation rates during the pandemic for a large suburban Florida school district. The study analyzed if there were statistically significant effects of certain factors, such as Positive Behavior Intervention Supports (PBIS), Multi-Tiered Support Systems (MTSS) in mathematics, out-of-school suspensions, and attendance in the summer transition program on graduation during the pandemic for the school years of 2019-2021. The results of the study showed different means across all analyses, resulting in impacts for some factors, including MTSS Tiering, PBIS Tiering, Summer Transition Program for on-time graduation, and Out-of-School Suspensions (OSS) for …


The Impact School Discipline Policies Have On Disabled, Minoritized Students’ Drop Out Rates, Christopher B. Langley Jan 2024

The Impact School Discipline Policies Have On Disabled, Minoritized Students’ Drop Out Rates, Christopher B. Langley

Graduate Thesis and Dissertation 2023-2024

Despite progress in recent years, the K–12 education system still grapples with pervasive discriminatory and inequitable practices that hinder students’ learning experiences and future success. Such practices can have far-reaching consequences, threatening students’ long-term outcomes and putting their well-being at risk. This study delved into the effects of exclusionary practices on academic performance and student withdrawal, with a particular focus on minority students with disabilities. By examining archived data, this research analyzed various exclusionary practices, including in-school suspension, out-of-school suspension, Baker Acts, and law enforcement referrals. To uncover correlations and determine hypothesis acceptance, the study employedsophisticated statistical techniques such as …


What's In A Frame? Exploring State Policymakers' Conceptualization Of Human Trafficking., Alexis P. Tsoukalas Jan 2024

What's In A Frame? Exploring State Policymakers' Conceptualization Of Human Trafficking., Alexis P. Tsoukalas

Graduate Thesis and Dissertation 2023-2024

Human trafficking within and across nations is a pervasive, insidious global criminal enterprise that endangers human rights and impedes social justice. Sex and labor are two fundamental types of human trafficking, but media and policies prioritize the former. Social work calls for empowering marginalized groups, and labor trafficking survivors—who are more likely women and immigrants of color—certainly fall into this category. Since 2003, every U.S. state has criminalized human trafficking, yet the issue persists. Most human trafficking analyses focus on federal or international, not state, policies.

Thus, this critical analysis aimed to explore how human trafficking is conceptualized at the …


The Perceived Impact Of Restorative Practice Implementation On Exclusionary Discipline Practicce And The Role Of School Administrators On The Effectiveness Of Implementation, Courtney E. Tomasi Jan 2024

The Perceived Impact Of Restorative Practice Implementation On Exclusionary Discipline Practicce And The Role Of School Administrators On The Effectiveness Of Implementation, Courtney E. Tomasi

Graduate Thesis and Dissertation 2023-2024

Restorative Practices is a behavior management system that focuses on root cause analysis and repairing harms caused by those infractions. This study focused on the correlation between the knowledge that stakeholders possessed regarding Restorative Practices and their perceived impact on the school disciplinary program. In addition, the study sought to determine which aspects of Restorative Practices were most effective as well as examine the viewpoints of disciplinary stakeholders regarding Restorative Practices as a large, urban school district in central Florida.

Recent literature shows that punitive and exclusionary discipline practices have an adverse impact on minoritized populations as the students are …


Using Advocacy Coaches To Examine Trauma-Informed Classroom Practices Used To Support Students With Disabilities: A Qualitative Study, Fanica Young Jan 2024

Using Advocacy Coaches To Examine Trauma-Informed Classroom Practices Used To Support Students With Disabilities: A Qualitative Study, Fanica Young

Graduate Thesis and Dissertation 2023-2024

Childhood trauma, often referred to as America’s hidden crisis, significantly impacts the learning and behavior of students with disabilities (SWD), in particular. SWD who experience or witness trauma face challenges related to discipline, academic achievement, absenteeism, and social and emotional well-being. According to the National Survey on Children’s Health (2021), 16.3% of children served under the Individuals with Disabilities Education Act have encountered two or more adverse childhood experiences by age 18, with over half of the states surpassing the national average. Addressing this urgent concern is difficult due to a shortage of qualified service providers, such as nurses, psychologists, …


Resilient Cooperative Control Of Cyber-Physical Systems: Enhancing Robustness Against Significant Time Delays And Denial-Of-Service Attacks, Deepalakshmi Babu Venkateswaran Jan 2024

Resilient Cooperative Control Of Cyber-Physical Systems: Enhancing Robustness Against Significant Time Delays And Denial-Of-Service Attacks, Deepalakshmi Babu Venkateswaran

Graduate Thesis and Dissertation 2023-2024

A cyber-physical control system (CPS) typically consists of a set of physical subsystems, their remote terminal units, a central control center (if applicable), and local communication networks that interconnect all the components to achieve a common goal. Applications include energy systems, autonomous vehicles, and collaborative robots. Ensuring stability, performance, and resilience in CPS requires thorough analysis and control design, utilizing robust algorithms to handle delays, communication failures, and potential cyber-attacks.

Time delays are a challenge in CPS, particularly in teleoperation systems, where human operators remotely control robotic systems. These delays cause chattering, oscillations, and instability, making it difficult to achieve …


A Causal-Comparative Study Of The Relationship Between School Shooter Typologies, Warning Signs, And Targeted School Violence, German R. Taveras Jan 2024

A Causal-Comparative Study Of The Relationship Between School Shooter Typologies, Warning Signs, And Targeted School Violence, German R. Taveras

Graduate Thesis and Dissertation 2023-2024

This research explores the relationship between school shooter typologies, warning signs, and targeted school violence. The study's independent variables are school shooter typologies and warning signs, while the dependent variable is targeted school violence. The research wants to investigate whether a relationship exists between these variables. The null hypothesis states no relationship exists, while the alternative hypothesis suggests that a relationship exists. The research framework is based on Bronfenbrenner's Ecological System Theory, which helps understand how the environment and social interaction influence a child's development. The theory was influenced by Vygotsky's sociocultural theory—which focuses on the roles of human interactions …


Connecting In Crisis: Exploring Online Informal Communications In Florida’S Unemployment Struggle, Anna V. Eskamani Jan 2024

Connecting In Crisis: Exploring Online Informal Communications In Florida’S Unemployment Struggle, Anna V. Eskamani

Graduate Thesis and Dissertation 2023-2024

The COVID-19 pandemic led to widespread unemployment, significantly impacting Floridians who faced delays and systemic issues with the state's unemployment system. This study examines crisis communication within a Reddit community, focusing on how individuals used informal communications to navigate the unemployment benefits crisis. Guided by Rhetorical Arena Theory (RAT) and Uses and Gratification Theory (U&G), the research addresses: (1) How did individuals in the active audience discuss challenges faced when trying to access Florida’s unemployment system? (2) What lessons can be drawn from the analysis of informal communications on social media for improving crisis communication strategies during future crises? A …


Investigating The Effect Of Technological Innovation On Countries' Green Production Capabilities Evolution And Spillover, Hanin Alhaddad Jan 2024

Investigating The Effect Of Technological Innovation On Countries' Green Production Capabilities Evolution And Spillover, Hanin Alhaddad

Graduate Thesis and Dissertation 2023-2024

This dissertation presents a novel methodology to examine the evolution of green production capabilities for 226 countries between 2003 and 2017 based on spillovers between the sectors. It identifies the growth potential of sectors and the key sectors driving the spillovers of production capabilities. Moreover, it delves into the patterns observed in the evolution of these capabilities, considering the diverse economic classifications. Lastly, it focuses on 72 developing countries that face unique challenges in pursuing green economic growth, exploring the effect of technological innovations on the spillovers of production capabilities within their green sectors. Three key hypotheses are investigated: the …


Examining How Pejorative Stereotypes About Black Women Shape Their Experiences In Physics Ph.D. Programs, Camille A. Coffie Jan 2024

Examining How Pejorative Stereotypes About Black Women Shape Their Experiences In Physics Ph.D. Programs, Camille A. Coffie

Graduate Thesis and Dissertation 2023-2024

This research study is part of a larger study that examines the experiences of Black women in physics graduate programs to identify priorities for departmental change initiatives to remove structures that keep out and/or push out Black women. This research also reinforces the ongoing necessity to raise awareness about the impact of stereotypes on how Black women are perceived and how stereotypes affect the matriculation of Black women in physics graduate programs. Black women represent the lowest percentage of students in physics graduate programs and often contend with stressors like microaggressions, bias, and stereotype threats that impede their success and …


Spectral Approaches For Characterizing Heterogeneity In Infectious Disease Models, Seoyun Choe Jan 2024

Spectral Approaches For Characterizing Heterogeneity In Infectious Disease Models, Seoyun Choe

Graduate Thesis and Dissertation 2023-2024

Heterogeneity, influenced by diverse factors such as age, gender, immunity, behavior, and spatial distribution, plays a critical role in the dynamics of infectious disease transmission. Discrete mathematical structures, including matrices and graphs, can offer effective tools for modeling the interactions among these diverse factors, resulting heterogeneous epidemiological models. This dissertation explores analytical approaches, specifically utilizing eigenvalues and eigenvectors of discrete structures, to characterize heterogeneity within mathematical models of infectious diseases. Theoretical results, along with numerical simulations, enhance our understanding of heterogeneous epidemiological processes and their significant implications for disease control strategies.

In this dissertation, we introduce a unified approach to …