activity
20172022
most citedWeighted Persistent Homology

9 citations · 23 across the 8 of their papers we have counts for

collaborators

11 papers

cs.CG2022★ 1 cited

Gaussian Persistence Curves

Yu-Min Chung, Michael Hull, Austin Lawson +1

Topological data analysis (TDA) is a rising field in the intersection of mathematics, statistics, and computer science/data science. The cornerstone of TDA is persistent homology,…

math.CO2021

Horospherical random graphs and lockdown strategies

Indira Chatterji, Austin Lawson

Expanders are sparse graph that are strongly connected, where {\it connectivity} is quantified using eigenvalues of the adjacency matrix, and {\it sparsity} in terms of vertex vale…

stat.ML2021

A Random Persistence Diagram Generator

Theodore Papamarkou, Farzana Nasrin, Austin Lawson +3

Topological data analysis (TDA) studies the shape patterns of data. Persistent homology is a widely used method in TDA that summarizes homological features of data at multiple scal…

stat.ME2020★ 2 cited

A Persistent Homology Approach to Time Series Classification

Yu-Min Chung, William Cruse, Austin Lawson

Topological Data Analysis (TDA) is a rising field of computational topology in which the topological structure of a data set can be observed by persistent homology. By considering…

cs.CV2019★ 3 cited

TopoResNet: A hybrid deep learning architecture and its application to skin lesion classification

Yu-Min Chung, Chuan-Shen Hu, Austin Lawson +1

Skin cancer is one of the most common cancers in the United States. As technological advancements are made, algorithmic diagnosis of skin lesions is becoming more important. In thi…

math.GT2019

Coarse free products

Greg Bell, Austin Lawson

We define a notion of free product for coarse spaces that generalizes the corresponding notion of a free product for groups. We show that free products preserve coarse properties s…