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Advancing Real-World Implementation Of The Well Optimized Linear Finder (Wolf) High-Speed Atmospheric Turbulence Compensation Method, Timothy Evan Coon Aug 2025

Advancing Real-World Implementation Of The Well Optimized Linear Finder (Wolf) High-Speed Atmospheric Turbulence Compensation Method, Timothy Evan Coon

Theses and Dissertations

This dissertation advances the real-world implementation of the Well Optimized Linear Finder (WOLF) method for high-speed Atmospheric Turbulence Compensation (ATC). Atmospheric turbulence introduces phase aberrations into optical wavefronts and degrades image quality in terrestrial imaging systems. Traditional phase diversity methods are computationally intensive and poorly suited to real-time operation. The WOLF method addresses these limitations through a novel, point-wise formulation of the optical transfer function (OTF) as a structured autocorrelation of the generalized pupil function (GPF). This formulation enables the estimation of phase aberrations at individual spatial coordinates with distributed computational complexity.

The research begins by developing a MATLAB-based simulation …


Designing A User-Centered Bias System To Enhance Media Literacy And Factual Accuracy, Anjali Majan Aug 2025

Designing A User-Centered Bias System To Enhance Media Literacy And Factual Accuracy, Anjali Majan

Theses and Dissertations

In an era of rapid news consumption, readers often struggle to detect bias and misinformation. This study examined whether interface design can support more critical engagement with news. We developed a progressive disclosure interface that encouraged users to reflect as they read by gradually revealing bias and factual cues. Participants were assigned to either Progressive Disclosure or Ground News. The experiment involved two phases. In the intervention phase, participants used an interface with support features. In the assessment phase, they completed tasks without the tool. We evaluated their performance using five measures: bias recognition accuracy, bias shift, factuality judgment, overlap …


Commitment And Betrayal In Intimate Relationships: A Grounded Theory Analysis, Megan Van Alfen Brown Jul 2025

Commitment And Betrayal In Intimate Relationships: A Grounded Theory Analysis, Megan Van Alfen Brown

Theses and Dissertations

Commitment and betrayal are key aspects of a relationship that have impact on the quality or health of the relationship. The purpose of this paper was to use qualitative grounded theory methods to explore how commitment and betrayal are experienced in intimate relationships and to explore the outcomes of both. The data were taken from a larger project on healthy and unhealthy relationships where participants were recruited through convenience and theoretical sampling. Semi-structured interviews were conducted and constructivist grounded theory methods were used to code, generate, and refine prominent categories in the data. Findings revealed that commitment is experienced through …


Characterizing Host And Viral Factors Relevant To Turkey Hemorrhagic Enteritis Virus-Induced Immunosuppression, Abraham Quaye Jul 2025

Characterizing Host And Viral Factors Relevant To Turkey Hemorrhagic Enteritis Virus-Induced Immunosuppression, Abraham Quaye

Theses and Dissertations

Turkey hemorrhagic enteritis virus (THEV) is an adenovirus (AdV) that causes hemorrhagic enteritis (HE) in turkeys, a debilitating disease affecting predominantly 6-12-week-old turkey poults characterized by immunosuppression (IMS) and intestinal lesions leading to bloody diarrhea. Although a naturally-occurring avirulent THEV strain has been adopted as live vaccine and has proven effective at preventing HE in turkeys, it still retains its immunosuppressive ability. Thus, vaccinated birds are rendered more susceptible to opportunistic infections and death than unvaccinated cohorts, leading to substantial economic losses. This dissertation focuses on elucidating both host and viral factors mediating THEV-induced IMS in turkeys. As THEV gene …


Characterizing Gastric Cancer Tumor Immune Microenvironment Through Extracellular Vesicles, Claire Elizabeth Bruno Jul 2025

Characterizing Gastric Cancer Tumor Immune Microenvironment Through Extracellular Vesicles, Claire Elizabeth Bruno

Theses and Dissertations

The tumor immune microenvironment (TIME) critically influences cancer progression and determining therapeutic response. As immunotherapies continue to improve and reshape cancer treatments, there is a need for tools that can more efficiently and accurately assess and monitor the TIME. Extracellular vesicles (EVs), especially small EVs (sEVs), are lipid-bound nanoparticles that carry proteins, DNA, and RNA reflective of their cell of origin, offering a novel, non-invasive biomarker of the TIME. This makes them a promising candidate for immune profiling and treatment monitoring in cancer. This thesis investigates the potential of EVs as biomarkers for TIME composition and immune activity. An analysis …


Modeling Steady-State Navier-Stokes Flow Using Structure-Preserving Truncated Hierarchical B-Splines, Daira Sofia Velasco Vega Jul 2025

Modeling Steady-State Navier-Stokes Flow Using Structure-Preserving Truncated Hierarchical B-Splines, Daira Sofia Velasco Vega

Theses and Dissertations

Accurate simulation of incompressible steady-state fluid flow is critical for engineering applications where mass conservation, numerical stability, and geometric fidelity are essential. This thesis develops and analyzes a structure-preserving isogeometric framework for steady-state incompressible Navier"“Stokes simulations using truncated hierarchical B-splines (THB-splines). By leveraging divergence-conforming spline spaces designed to keep the fluid's divergence exactly zero based on the mathematical de Rham complex, this method ensures the fluid remains incompressible everywhere without needing extra stabilization techniques. The use of THB-splines allows the mesh to be refined locally in areas where the flow changes sharply. It still keeps the solution smooth and ensures …


Constructing Sculptural Wearables: Indigenous Steam Education At The Intersection Of Art And Science, Patricia Andersen Jul 2025

Constructing Sculptural Wearables: Indigenous Steam Education At The Intersection Of Art And Science, Patricia Andersen

Theses and Dissertations

This paper describes an approach to STEAM education in which art is viewed as a unique discipline with distinct ways of thinking. The researchers developed and evaluated a STEAM education program to explore how art and science work together to expand and accelerate inventive thinking among Native American middle school students who participated in American Indian Services (AIS) Pre-Freshman Engineering Program (PREP). An important context of this project was the unique local environment and culture that included Diné (din-eh) culture in Gallup, NM. We hypothesize that integrating culturally responsive transdisciplinary art into an existing STEM summer program will increase students' …


Belonging Starts With You: Exploring Trust, Belonging, And Spiritual Connection In The Success Of Culturally Diverse Students In Higher Education, Moises Aguirre Jul 2025

Belonging Starts With You: Exploring Trust, Belonging, And Spiritual Connection In The Success Of Culturally Diverse Students In Higher Education, Moises Aguirre

Theses and Dissertations

Cultivating trust and belonging is essential for student success in higher education, particularly for students from diverse cultural backgrounds (DCB) who face unique challenges in developing these connections. Research highlights lower levels of trust reported by DCB students toward peers and institutions, adversely impacting their academic performance and social integration (Van Maele & Van Houtte, 2010). The urgency of these issues is underscored by the demographic evolution in Utah's educational system, with projections indicating significant growth of students' diversity by 2065 (Hollingshaus et al., 2019). Because of these projected developments, this study investigates how DCB students conceptualize and experience trust …


What's The Joke Princess?: A Qualitative Analysis On The Comic Representation Of Women In Disney Sitcoms, Julia J. Lee Jul 2025

What's The Joke Princess?: A Qualitative Analysis On The Comic Representation Of Women In Disney Sitcoms, Julia J. Lee

Theses and Dissertations

This thesis investigates the comedic representation of women in recent Disney sitcoms (2019"“2025), focusing on the framing devices, stereotypes, and situational contexts through which gendered humor is constructed and reinforced. Drawing from existing literature on comedic archetypes, the study identifies six historically dominant comedic frames and reveals eleven emergent subframes that complicate, reinforce, or expand these traditional portrayals. Through qualitative content analysis and systematic coding of selected Disney sitcoms, this study identifies consistent character traits and comedic techniques that span multiple frames and contexts, revealing how these patterns influence audience perceptions of femininity. The study situates these frames within three …


The Effects Of An Undergraduate Peer Mentoring Program On Belonging And Success, Alexa Darracq Jul 2025

The Effects Of An Undergraduate Peer Mentoring Program On Belonging And Success, Alexa Darracq

Theses and Dissertations

The purpose of this study was to determine if participation in an undergraduate peer mentoring program led to increased feelings of belonging and success compared to students who have never received BYU ComD peer mentoring. Outcomes were measured using pre- and post-experiment surveys and focus groups. This study had ten participants in the experimental group and 12 participants in the control group with seven participants from the experimental group who participated in the focus groups. Analysis of the results determined there were three key findings from the study: mentees benefited from the peer mentoring program, students signed up to receive …


School Leadership Preparation Program Redesign: Purpose, Process, And Perspective, Rebecca L. Gerber Jul 2025

School Leadership Preparation Program Redesign: Purpose, Process, And Perspective, Rebecca L. Gerber

Theses and Dissertations

This paper reviews a collaborative effort between Brigham Young University's Educational Leadership and Foundations (EDLF) department and five school districts to redesign the School Leadership Preparation Program. The initiative aimed to bridge gaps between the practical needs of schools and the offerings of the university. A qualitative case study was conducted, focusing on three key groups: EDLF faculty, school district leaders involved in the redesign committee, and recent graduates of the updated program. Through detailed interviews, valuable insights were gathered into participants' experiences and perceptions concerning six major commitments of the newly designed program. This approach provided insights about the …


Predicted Inelastic Response Of Conventional And Ductile Steel Concentrically Braced Frame Buildings Under Wind Loads, Conrad Hamblin Belshe Jul 2025

Predicted Inelastic Response Of Conventional And Ductile Steel Concentrically Braced Frame Buildings Under Wind Loads, Conrad Hamblin Belshe

Theses and Dissertations

The inelastic response of three-story steel concentrically braced frame buildings under wind loads was simulated to determine the applicability of ductile braced frame design to wind load applications. This study examined three types of steel concentrically braced frames: a conventional braced frame, a ductile braced frame, and a ductile braced frame with a reduced beam requirement. Braced frames were designed for four design wind speeds (220 mph, 156 mph, 127 mph, and 110 mph), for a total of nine unique braced frame designs. Nonlinear static pushover analysis was used to determine system overstrength and ductility under wind loads. Eigenvalue vibration …


Beyond The Pitch: Teaching Emotional Labor In Advertising Education Through An Action Research Program, Michael Joseph Mallory Jul 2025

Beyond The Pitch: Teaching Emotional Labor In Advertising Education Through An Action Research Program, Michael Joseph Mallory

Theses and Dissertations

As the advertising industry continues to expand, new graduates must navigate the profession in the face of increasing challenges. With competition in the job market growing and Generation Z valuing work-life balance, the advantage of quality advertising education becomes paramount. Current advertising education does not address the challenge of emotional labor that professionals will face in the field. With limited scholarship that explores emotional regulation, communication dynamics, and client relations in an academic advertising setting, emotional labor in advertising education is explored through a thoroughly documented experiential learning study. This study employs Participatory Action Research (PAR) to investigate, develop, and …


Transformation With Genes To Improve Lipid Production And Barcoding To Identify Unknown Algal Species, Michelle T. Rada Jul 2025

Transformation With Genes To Improve Lipid Production And Barcoding To Identify Unknown Algal Species, Michelle T. Rada

Theses and Dissertations

With the rising demand for alternative fuels, algal-based biofuels are a promising, sustainable source that meets commercial interest while producing lower greenhouse gas emissions compared to fossil fuels. This thesis explored two studies, evaluating microalgae for their future potential in lipid yield for biofuel production.

The first study involved developing a cost-efficient electroporation protocol that allowed for the genetic transformation of Chlamydomonas reinhardtii using the pChlamy_4 vector, which supports future cloning of genes to enhance lipid production. Parameters affecting DNA uptake and integration into algal genomes were studied: the effect of cell density, the settings of the electroporation device, and …


Multi-Scale Color Correction And Contrast Enhancement Via Leaf In Wind Optimization For Improved Weld Defect Detection In Non- Destructive Testing, Senthil Anand N Mr Jul 2025

Multi-Scale Color Correction And Contrast Enhancement Via Leaf In Wind Optimization For Improved Weld Defect Detection In Non- Destructive Testing, Senthil Anand N Mr

Theses and Dissertations

Image enhancement is an essential process in numerous fields, including industrial inspection, medical imaging, remote sensing, and photography, as it improves image quality for accurate analysis and interpretation. Among the advanced image enhancement techniques, Focused Super Resolution (FSR) with Self-Attention Single Candidate Optimizer-based Generative Adversarial Networks (GANs) is specifically designed for weld defect detection, while Advanced Image Enhancement through Multi-scale Color Correction and Contrast Stretching using Leaf in Wind Optimization focuses on enhancing the overall visual quality of images. Although both approaches aim to improve image quality, they differ significantly in their objectives and application areas. The FSR method concentrates …


Math Information Retrieval From Images Via Formula Extraction, Vector Embedding, And Multimodal Llm-Based Question Answering, Angel Wheelwright Crawford Jul 2025

Math Information Retrieval From Images Via Formula Extraction, Vector Embedding, And Multimodal Llm-Based Question Answering, Angel Wheelwright Crawford

Theses and Dissertations

Math Information Retrieval (MIR) aims to revolutionize the retrieval of math information by addressing the challenges in representing, retrieving, and producing highly specialized math content. In order to develop a robust MIR system, designers must be able to process math equations (MEs) to a format that different systems can use, which is difficult due to various formats math information are stored in, including visual images and document texts. To improve the usage of math information in varied forms for people who are learning and utilizing math, we propose three different methods of handling ME data. The first method is a …


Illness Severity And Marital Communication In Young Couples: The Moderating Role Of Marital Satisfaction, Jaime Lea Dick Jul 2025

Illness Severity And Marital Communication In Young Couples: The Moderating Role Of Marital Satisfaction, Jaime Lea Dick

Theses and Dissertations

The emergence of a chronic physical illness is unexpected in emerging adulthood and is accompanied by stress. Additionally, married partners of individuals with physical illnesses are likewise affected by the new diagnosis. Marriage outcomes of couples facing chronic illnesses together vary, being sometimes positive and sometimes negative. The current study examined the relationship between the emergence of chronic physical illness in emerging adults and marital communication of both the patient and partner, with marital satisfaction as a moderator. Gender differences are also addressed. From the Couple Relationships and Transition Experiences (CREATE) study, a nationally representative dataset of newly married emerging …


Peak Connection Strength Of Reduced Beam Section Moment Frame Connections, Jonathan T. Tshibanda Jul 2025

Peak Connection Strength Of Reduced Beam Section Moment Frame Connections, Jonathan T. Tshibanda

Theses and Dissertations

In the design of reduced beam section (RBS) moment frame connections, the peak connection strength factor (𝐶𝑝𝑟) is used to estimate the expected maximum moment at the reduced section in the capacity-based design of moment-resisting frames. Current design provisions in AISC 358-22 define C𝑝𝑟 as the average of the yield and ultimate strengths of the beam material divided by the yield stress, resulting in a standard value of 1.15 for A992 steel. However, experimental studies have often reported higher values, occasionally exceeding 1.40. This study reevaluates the 𝐶𝑝𝑟 factor using experimental data from 35 existing RBS tests specimens along with …


Performance Analysis Of University Wifi Using 802.11e Information Elements, Douglas Christopher Hales Jul 2025

Performance Analysis Of University Wifi Using 802.11e Information Elements, Douglas Christopher Hales

Theses and Dissertations

Wireless networks, including IEEE 802.11 (WiFi), continue to become more important for many uses, including university classrooms. Factors that impact the performance of these networks have changed greatly over time, with increased scale at which they are used, and growing dependence of latency sensitive applications. In order to better understand the performance of current WiFi networks, a methodology was created to capture and analyze beacon frames with optional 802.11e information elements (IE), using Quality of Service enhanced Basic Service Set or QBSS load (channel utilization) and station count. This methodology is able to collect channel use more frequently than many …


Integrated Evaluation Of Airtightness, Acoustics, Thermal Performance, And Life-Cycle Carbon Emissions In Code-Compliant Wood-Framed And Thin-Shell Concrete Dome Residential Structures, Eduardo Ibanez Vasquez Jul 2025

Integrated Evaluation Of Airtightness, Acoustics, Thermal Performance, And Life-Cycle Carbon Emissions In Code-Compliant Wood-Framed And Thin-Shell Concrete Dome Residential Structures, Eduardo Ibanez Vasquez

Theses and Dissertations

The residential construction industry faces increasing demands for energy-efficient and sustainable housing solutions. In the U.S., residential buildings significantly contribute to energy consumption and greenhouse gas (GHG) emissions, highlighting the need for enhanced building envelope performance. This study compares four residential structures: a traditional code-compliant wood-framed structure built in 1970, a traditional code-compliant wood-framed structure built in 2016, a modular code-compliant wood framed structure built in 2024, and a thin-shell concrete dome built in 2022. The analysis focuses on airtightness, acoustic insulation, passive thermal performance, and life-cycle carbon emissions, including both embodied (cradle-to-gate) and operational energy use. Field-based methods included …


What Strategies Do People With Aphasia With High Basic Psychological Need Satisfaction Report Using? A Qualitative Exploration, Abigail Irene Jensen Jul 2025

What Strategies Do People With Aphasia With High Basic Psychological Need Satisfaction Report Using? A Qualitative Exploration, Abigail Irene Jensen

Theses and Dissertations

This study explored patterns in the communication strategies reported by people with aphasia with high versus low basic psychological need satisfaction. Participants with aphasia (12 females and 11 males) completed an initial experimental session during which the Basic Psychological Need Satisfaction and Frustration Scale (BPNS/F) was administered. Following this session, participants completed a semi-structured interview in which they described strategies used during daily communication. Each interview was transcribed and analyzed through reflexive codebook analysis, with emphasis placed on the communication strategies they reported using. Participants were grouped according to whether their reported autonomy, competence, or relatedness on the BPNS/F were …


Varieties And Domains: A Syncretic Synthesis Of Law And Justice In India ( Including A Special Emphasis On Alternate Dispute Resolution), Amrith Bhargav B Jul 2025

Varieties And Domains: A Syncretic Synthesis Of Law And Justice In India ( Including A Special Emphasis On Alternate Dispute Resolution), Amrith Bhargav B

Theses and Dissertations

From the abstract idea of Dharma that enabled the practice and sustenance of local custom and usage, law was defined without verbiage but in meanings and understandings. In the colonial age, law was constantly being defined and codified not just textually, but through projects of economies of politics, knowledge and power in a way that their transactional metrics produced social and cultural genres that changed India forever. In that state of play, lawyers and their associated players contributed to the emerging culture of power and dominance with their tool of making the law through cases and mainstreamed the colonial legal …


Detection Of Neuron Derived Cfdna In Blood Plasma: A New Diagnostic Approach For Neurodegenerative Conditions, Chad Alan Pollard Jul 2025

Detection Of Neuron Derived Cfdna In Blood Plasma: A New Diagnostic Approach For Neurodegenerative Conditions, Chad Alan Pollard

Theses and Dissertations

Neurodegenerative diseases such as Alzheimer’s disease (AD), Parkinson’s disease (PD), and amyotrophic lateral sclerosis (ALS) are characterized by the progressive loss of distinct neuronal subtypes, yet current diagnostic tools are either invasive, limited in resolution, or poorly suited for early detection and longitudinal monitoring. This dissertation began with a proof-of- concept study using bisulfite-PCR at a neuron-enriched locus to detect cortical neuron-derived cell-free DNA (cfDNA) in AD plasma samples, establishing the potential of cfDNA as a marker of neuronal injury. Building on these preliminary findings, a novel framework was developed utilizing Oxford Nanopore Technologies (ONT) to profile genome-wide native DNA …


Granulocyte-Colony Stimulating Factor Effects On The Mesolimbic Dopamine Circuitry And Adaptations With Chronic Ethanol Exposure, Rachel Ji-Hyae Campbell Jul 2025

Granulocyte-Colony Stimulating Factor Effects On The Mesolimbic Dopamine Circuitry And Adaptations With Chronic Ethanol Exposure, Rachel Ji-Hyae Campbell

Theses and Dissertations

The mesolimbic dopamine (DA) system contributes to reward and reinforcement learning for ethanol (EtOH). The nucleus accumbens (NAc) receives DA input from the ventral tegmental area (VTA) encoding rewarding information. Acute EtOH increases NAc DA levels, and this DA response is attenuated with chronic EtOH exposure. Furthermore, chronic EtOH results in reduced DA release, increased DA clearance and presynaptic D2-type auto-receptor sensitization. Further research into EtOH-induced neural adaptations that modulate NAc DA release is explored herein, including changes in cholinergic interneurons (CIN), which are known regulators of DA transmission. One potential class of regulators are immune related cytokines, that can …


Source Characterization From Near-Field Acoustic Intensity On Moving Launch Vehicles, Carson F. Cunningham Jul 2025

Source Characterization From Near-Field Acoustic Intensity On Moving Launch Vehicles, Carson F. Cunningham

Theses and Dissertations

Rocket launches generate extremely high acoustic levels, particularly in the low-frequency range, posing risks to both launch vehicle integrity and surrounding infrastructure. This thesis investigates the use of near-field acoustic intensity measurements to localize sound sources on moving launch vehicles, with a focus on characterizing source behavior during the early phases of liftoff. Using data from the Antares 230 NG-19 mission, acoustic pressure was recorded at multiple stations surrounding the pad, and the Phase and Amplitude Gradient Estimator (PAGE) method was employed to compute intensity vectors as a function of frequency and time. Signal processing parameters were systematically evaluated, including …


Personalized Emoji Prediction Framework Using Personality, Emotion, And User Preferences, Mariam Lotfy Gaafar Jul 2025

Personalized Emoji Prediction Framework Using Personality, Emotion, And User Preferences, Mariam Lotfy Gaafar

Theses and Dissertations

Emoji prediction plays a vital role in digital communication by enriching text with personality, individual style, and emotional tone. However, existing frameworks primarily rely on user-generated text combined with statistical or language models, often overlooking the importance of individual user traits and contextual information. Recent research highlights that integrating user-specific features, such as historical usage patterns and emotional context, can significantly improve emoji prediction accuracy. Building on these insights, we propose a comprehensive emoji prediction framework that incorporates user history, personality traits, and real-time emotional context. We leverage the Pan17 corpus, which contains a sufficient number of posts per user, …


Providing Instructional Literacy Videos Increases Literacy And Parent Engagement, Maryjoann Wilks Jul 2025

Providing Instructional Literacy Videos Increases Literacy And Parent Engagement, Maryjoann Wilks

Theses and Dissertations

Abstract MaryJoAnn Wilks Providing Instructional Literacy Videos Increases Literacy and Parent Engagement 2023-2025 Thesis chair Susan Browne, Ed.D., Professor, Department Critical Literacy, Technology & Multilingual Education Master of Arts in Reading Education This qualitative research project explored the impact of a family literacy program designed to enhance third-grade students’ reading skills through the use of instructional videos and at-home literacy activities. Conducted in the town of Bridgeton, New Jersey, the study focused on themes of preparation, motivation, and participation to examine how families engaged with the program and supported their children's learning. Data were collected through observations, parent feedback, and …


Comunidades Y Vacunas: Findings On Vaccine Hesitancy In Latine Families With Autistic Children, Danica Leticia Limon-Mialkowski Jul 2025

Comunidades Y Vacunas: Findings On Vaccine Hesitancy In Latine Families With Autistic Children, Danica Leticia Limon-Mialkowski

Theses and Dissertations

Parent vaccine hesitancy (VH) and subsequent vaccine refusal for children has escalated in the U.S. over the past several years and is more common among parents with an autistic child compared to the general population (Zerbo et al., 2018). This is an important issue to address given that VH has led to a resurgence of vaccine-preventable diseases (DeStefano & Shimabukuro, 2019; Geoghegan, et al., 2020). Research shows that VH is affected by parent cultural background (Fombonne et al., 2020) and that minoritized groups are more likely to experience VH (48.1% in parents of color [POC] groups versus 22.9% in White …


A Machine Learning Approach To Quantitative X-Ray Diffraction Analysis, Spencer Snow Chandler Jul 2025

A Machine Learning Approach To Quantitative X-Ray Diffraction Analysis, Spencer Snow Chandler

Theses and Dissertations

X-ray Powder Diffraction (XRPD) is a powerful method in material sciences that gives insights into the atomical and crystallographic structure of a material, revealing information into the material's properties and suitability for industrial and scientific application. In geology, XRPD analysis is frequently leveraged to identify and quantify the present mineral phases in an unknown mixture. Despite it's widespread use, interpreting XRPD patterns requires highly-specialized knowledge, making the analysis largely dependent upon the background experience of the analyst. To assist experts, computational methods have been developed over the years. Some of these techniques involve fitting diffraction patterns using pseudo-Voigt functions, which …


Approximating Transport Maps Using Minibatch Optimal Transport Plans, Dawson Collins Jul 2025

Approximating Transport Maps Using Minibatch Optimal Transport Plans, Dawson Collins

Theses and Dissertations

Optimal Transport theory (OT) has gained much attention in the past decades due to its rich mathematical content and striking connections to other areas of math. It has also naturally found a place in data science as a way to compare and transform probability measures. Unfortunately, there remain significant computational burdens that restrict its effectiveness in large-scale data regimes. In this thesis, we consider Minibatch Optimal Transport (MiniOT), which breaks up the task of computing the optimal transport plan between datasets into several smaller tasks of computing the optimal transport plan between minibatches of the datasets. After obtaining the minibatch …