3 citations · 6 across the 6 of their papers we have counts for
8 papers
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,…
A Multi-parameter Persistence Framework for Mathematical Morphology
Yu-Min Chung, Sarah Day, Chuan-Shen Hu
The field of mathematical morphology offers well-studied techniques for image processing. In this work, we view morphological operations through the lens of persistent homology, a…
A Sheaf and Topology Approach to Generating Local Branch Numbers in Digital Images
Chuan-Shen Hu, Yu-Min Chung
This paper concerns a theoretical approach that combines topological data analysis (TDA) and sheaf theory. Topological data analysis, a rising field in mathematics and computer sci…
Airflow recovery from thoracic and abdominal movements using Synchrosqueezing Transform and Locally Stationary Gaussian Process Regression
Whitney K. Huang, Yu-Min Chung, Yu-Bo Wang +2
Airflow signal encodes rich information about respiratory system. While the gold standard for measuring airflow is to use a spirometer with an occlusive seal, this is not practical…
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…
A persistent homology approach to heart rate variability analysis with an application to sleep-wake classification
Yu-Min Chung, Chuan-Shen Hu, Yu-Lun Lo +1
Persistent homology (PH) is a recently developed theory in the field of algebraic topology to study shapes of datasets. It is an effective data analysis tool that is robust to nois…