In this paper we develop an alternative topological data analysis (TDA) approach for
studying graph representations of time series of dynamical systems. Specifically, we show …

One of the primary areas of interest in applied algebraic topology is persistent homology,
and, more specifically, the persistence diagram. Persistence diagrams have also become …

The persistence diagram is an increasingly useful tool from Topological Data Analysis, but
its use alongside typical machine learning techniques requires mathematical finesse. The …

The complex and dynamic crosstalk between tumour and immune cells results in tumours
that can exhibit distinct qualitative behaviours-elimination, equilibrium, and escape-and …