3 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
A Brief Note for Sheaf Structures on Posets
Chuan-Shen Hu
This note is a part of the lecture notes of a graduate student algebraic geometry seminar held at the department of mathematics in National Taiwan Normal University, 2020 Falls. It…
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…