4 papers
PERCEPT: a new online change-point detection method using topological data analysis
Xiaojun Zheng, Simon Mak, Liyan Xie +1
Topological data analysis (TDA) provides a set of data analysis tools for extracting embedded topological structures from complex high-dimensional datasets. In recent years, TDA ha…
Online High-Dimensional Change-Point Detection using Topological Data Analysis
Xiaojun Zheng, Simon Mak, Yao Xie
Topological Data Analysis (TDA) is a rapidly growing field, which studies methods for learning underlying topological structures present in complex data representations. TDA method…
Topological Data Analysis on Simple English Wikipedia Articles
Matthew Wright, Xiaojun Zheng
Single-parameter persistent homology, a key tool in topological data analysis, has been widely applied to data problems along with statistical techniques that quantify the signific…
Distributions of Matching Distances in Topological Data Analysis
So Mang Han, Taylor Okonek, Nikesh Yadav +1
In topological data analysis, we want to discern topological and geometric structure of data, and to understand whether or not certain features of data are significant as opposed t…