A roadmap for the computation of persistent homology
Turing Institute · University of Oxford · +4 more institutions
Abstract
(PH) is a method used in topological data analysis (TDA) to study qualitative features of data that persist across multiple scales. It is robust to perturbations of input data, independent of dimensions and coordinates, and provides a compact representation of the qualitative features of the input. The computation of PH is an open area with numerous important and fascinating challenges. The field of PH computation is evolving rapidly, and new algorithms and software implementations are being updated and released at a rapid pace. The purposes of our article are to (1) introduce theory and computational methods for PH to a broad range of computational scientists and (2) provide benchmarks of state-of-the-art…
Citation impact
- FWCI
- 45.20
- Percentile
- 100%
- References
- 205
Authors
5- NONina OtterCorresponding
Turing Institute, University of Oxford, The Alan Turing Institute
- MAMason A. Porter
University of California, Los Angeles, UCLA Health, University of Oxford, Oxford BioMedica (United Kingdom)
- UTUlrike Tillmann
Turing Institute, University of Oxford, The Alan Turing Institute
- PGPeter Grindrod
University of Oxford
- HAHeather A. Harrington
University of Oxford
Topics & keywords
- Computer science
- Benchmarking
- Implementation
- Computation
- Theoretical computer science
- Pipeline (software)
- Scripting language
- Software