3 papers
math.AT2025
Fractal dimensions of complex networks: advocating for a topological approach
Rayna Andreeva, Haydeé Contreras-Peruyero, Sanjukta Krishnagopal +3
Topological Data Analysis (TDA) uses insights from topology to create representations of data able to capture global and local geometric and topological properties. Its methods hav…
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.AT2024
Time-optimal persistent homology representatives for univariate time series
Antonio Leitao, Nina Otter
Persistent homology (PH) is one of the main methods used in Topological Data Analysis. An active area of research in the field is the study of appropriate notions of PH representat…