thesis

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Colin Furey’s PhD in Applied Mathematics Research Proposal “Randomized Numerical Linear Algebra for Scalable Uncertainty Quantification”

Flyer for presentation with image displaying Spectral compression through randomized preconditioning. This animation, constructed using the Abalone dataset from the UCI Machine Learning Repository, illustrates how increasing the approximation rank progressively clusters the eigenvalues of the coefficient matrix in a preconditioned linear system near one. Such clustering reduces the system’s condition number, leading to faster and more stable convergence when solving large-scale kernel ridge regression problems via the conjugate gradient method. The following text is also included: “Colin Furey’s PhD in Applied Mathematics Research Proposal, Randomized Numerical Linear Algebra for Scalable Uncertainty Quantification, Friday 10/24 10am-12pm”
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Courtney Franzen’s PhD in Applied Mathematics Research Proposal “Uncertainty Quantification for Understanding Model Confidence in Limited Data Regimes”

Student Commons 4017

Shot of CU logo on side of building
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Tristen Orndorff’s MS in Statistics Project Presentation “Applying Statistical Models to Multiomic Single-Cell and Bulk RNA Sequencing Data Reveals the Role of Zbtb40 in Osteoblast Maturation”

UMAP plot comparing Zbtb40+/+ (left) and Zbtb40mut/mut (right) and the following text: “Tristen Orndorff’s MS in Statistics Project Presentation, Date: Tuesday, May 6, 2025”
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Johannes Strauss’ MS in Statistics Project Presentation “Leveraging Sparse Variational Bayesian Inference to Model Polygenic Risk in Idiopathic Pulmonary Fibrosis”

Johannes Strauss and the following text: “Johannes Strauss’ MS in Statistics Project Presentation, Date: Friday May 9, 2025”
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Andrew Kitterman’s PhD in Applied Mathematics Research Proposal “Extensions of Data-Driven Surrogate Models Based on the Gappy Proper Orthogonal Decomposition Algorithm”

Student Commons 4113 1201 Larimer Street
Denver, 80204 United States

Flyer for presentation with images of Gappy Proper Orthogonal Decomposition (GPOD) models and the following text: “Andrew Kitterman’s PhD in Applied Mathematics Research Proposal, Date: Tuesday April 29, 2025”
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Shane Ridoux’s MS in Statistics Project Presentation “A Bayesian Detection of Epistasis Using Summarized Synergy Networks in Islet Autoimmunity”

Student Commons Building, 4119 1201 Larimer Street
Denver, 80204 United States

Flyer for student presentation showing an image of diffusion process on a network graph and the following text: “Shane Ridoux’s MS in Statistics Project Presentation, Date: Monday April 28, 2025”
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Alana Saragosa’s MS in Applied Mathematics Project Presentation “Reproducibility Under the Microscope: Examining Low-Level Algorithmic Factors and Neural Network Output Variability”

Student Commons Building, 4119 1201 Larimer Street
Denver, 80204 United States

Simple flyer for event with the following text: "Alana Saragosa, Reproducibility Under the Microscope: Examining Low-Level Algorithmic Factors and Neural Network Output Variability, MS in Applied Mathematics Project Presentation"
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Emily Aaron’s MS in Statistics Project Presentation “Evaluating Differential Brain Gene Expression Due to Oxycodone Exposure Using Negative Binomial Generalized Linear Models”

Student Commons Building, 4119 1201 Larimer Street
Denver, 80204 United States

event flyer with photo of student Emily Aaron posing next to published paper being presented and the following text "Emily Aaron's MS in Statistics Project Presentation, Date: April 21, 2025"