2 papers
astro-ph.CO2025
Counting voids and filaments: Betti Curves as a Topological Probe for Cosmology
Jiayi Li, Cheng Zhao
Topological analysis of galaxy distributions has gathered increasing attention in cosmology, as they are able to capture non-Gaussian features of large-scale structures (LSS) that…
math.AT2023
Pull-back Geometry of Persistent Homology Encodings
Shuang Liang, Renata Turkeš, Jiayi Li +2
Persistent homology (PH) is a method for generating topology-inspired representations of data. Empirical studies that investigate the properties of PH, such as its sensitivity to p…