9 citations · 28 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
Conditions for Morphology-Based Topological Filtrations and Applications to Firn Data Analysis
Chuan-Shen Hu, Yu-Min Chung, Kaitlin Keegan +1
Persistent homology (PH), a key tool in topological data analysis (TDA), captures global topological features of digital images through \emph{topological filtrations}. Alternativel…
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…