9 citations · 28 across the 13 of their papers we have counts for
14 papers
Topological Data Analysis Assisted Automated Sleep Stage Scoring Using Airflow Signals
Yu-Min Chung, Whitney K. Huang, Hau-Tieng Wu
Objective: Breathing pattern variability (BPV), as a universal physiological feature, encodes rich health information. We aim to show that, a high-quality automatic sleep stage sco…
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…
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…
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…
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…
Persistence Curves: A canonical framework for summarizing persistence diagrams
Yu-Min Chung, Austin Lawson
Persistence diagrams are one of the main tools in the field of Topological Data Analysis (TDA). They contain fruitful information about the shape of data. The use of machine learni…
Center Manifolds of Differential Equations in Banach Spaces
Yu-Min Chung, Emily Schaal
The center manifold is useful for describing the long-term behavior of a system of differential equations. In this work, we consider an autonomous differential equation in a Banach…
Non-Autonomous Inertial Manifold Reduction
Yu-Min Chung, Andrew J. Steyer, Erik S. Van Vleck
Techniques are developed for decoupling dissipative differential equations. The approach considered is based upon obtaining a sufficient gap in the time dependent linear portion of…
Global Error Analysis and Inertial Manifold Reduction
Yu-Min Chung, Andrew Steyer, Michael Tubbs +2
Four types of global error for initial value problems are considered in a common framework. They include classical forward error analysis and shadowing error analysis together with…
A unified approach to compute foliations, inertial manifolds, and tracking initial conditions
Y. -M. Chung, M. S. Jolly
Several algorithms are presented for the accurate computation of the leaves in the foliation of an ODE near a hyperbolic fixed point. They are variations of a contraction mapping m…