| Title | Date | Views | Brief Description |
|---|
| Visualizing Arctic ice data with optimal transport |
2023 |
73 |
Climate change is a growing concern that causes sea level risings, heatwaves, and loss of habitats, and impacts the ecology. The climate change in the Arctic is specifically important as the Arctic helps reflect a significant amount of sunlight. This... |
| An analysis of racial segregation using topological data analysis |
2022 |
224 |
In recent years, Topological Data Analysis (TDA) has been used to analyze complex data and provide insights that other research techniques cannot. TDA is a newer form of data analysis which analyzes trends of data from a topological perspective by wa... |
| Injective and coarse embeddings of persistence diagrams and Wasserstein space |
2023 |
74 |
In this dissertation we will examine questions related to two fields of mathematics, topological data analysis (TDA) and optimal transport (OT). Both of these fields center on complex data types to which one often needs to apply standard machine lear... |