4 papers
From Persistence to Survival: Hypothesis Testing, Effect Sizes and Vectorisation for Topological Features
Juliette Murris, Bernadette Stolz, Karsten Borgwardt
Persistence diagrams are common representations in topological data analysis, but they do not naturally live in a vector space, and the statistical tools developed for comparing th…
Magnitude-Based Features for Multispecies Spatial Data
Julia Sollberger, Joshua Bull, Sara Kališnik +1
Multispecies spatial data arise in many applications where interactions between different entities are central to system behaviour, including biomedical imaging, geospatial analysi…
Topological model selection: a case-study in tumour-induced angiogenesis
Robert A McDonald, Helen M Byrne, Heather A Harrington +2
Comparing mathematical models offers a means to evaluate competing scientific theories. However, exact methods of model calibration are not applicable to many probabilistic models…
Communities in the Kuramoto Model: Dynamics and Detection via Path Signatures
Tâm Johan Nguyên, Darrick Lee, Bernadette Jana Stolz
The behavior of multivariate dynamical processes is often governed by underlying structural connections that relate the components of the system. For example, brain activity, which…