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math.AT2024
Shoving tubes through shapes gives a sufficient and efficient shape statistic
Adam Onus, Nina Otter, Renata Turkes
The Persistent Homology Transform (PHT) was introduced in the field of Topological Data Analysis about 10 years ago, and has since been proven to be a very powerful descriptor of E…
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…