Publications (6)
Detecting Filamentarity in Climate and Galactic Spatial Point Processes
Aida Gjoka, Robin Henderson, Paul Oman
Evidence of excess filamentarity is considered for two spatial point process applications: local minima in whole earth precipitation modelling and locations of cold clumps in the M…
Topological data analysis and diagnostics of compressible MHD turbulence
Irina Makarenko, Paul Bushby, Andrew Fletcher +3
The predictions of mean-field electrodynamics can now be probed using direct numerical simulations of random flows and magnetic fields. When modelling astrophysical MHD, it is impo…
Statistical Topology and the Random Interstellar Medium
Robin Henderson, Irina Makarenko, Paul Bushby +2
Current astrophysical models of the interstellar medium assume that small scale variation and noise can be modelled as Gaussian random fields or simple transformations thereof, suc…
Handling Overlapping Asymmetric Datasets -- A Twice Penalized P-Spline Approach
Matthew McTeer, Robin Henderson, Quentin M Anstee +1
Overlapping asymmetric datasets are common in data science and pose questions of how they can be incorporated together into a predictive analysis. In healthcare datasets there is o…
Event History and Topological Data Analysis
Kathryn Garside, Aida Gjoka, Robin Henderson +2
Persistent homology is used to track the appearance and disappearance of features as we move through a nested sequence of topological spaces. Equating the nested sequence to a filt…
Topological signatures of interstellar magnetic fields - I. Betti numbers and persistence diagrams
Irina Makarenko, Anvar Shukurov, Robin Henderson +3
The interstellar medium (ISM) is a magnetised system in which transonic or supersonic turbulence is driven by supernova explosions. This leads to the production of intermittent, fi…