Corpus ID: 119123948

Parallel multi-scale reduction of persistent homology filtrations

@article{MendozaSmith2017ParallelMR,
  title={Parallel multi-scale reduction of persistent homology filtrations},
  author={Rodrigo Mendoza-Smith and Jared Tanner},
  journal={arXiv: Algebraic Topology},
  year={2017}
}
The persistent homology pipeline includes the reduction of a, so-called, boundary matrix. We extend the work of Bauer et al. (2014) and Chen et al. (2011) where they show how to use dependencies in the boundary matrix to adapt the reduction algorithm presented in Edelsbrunner et al. (2002) in such a way as to reduce its computational cost. Herein we present a number of additional dependencies in the boundary matrices and propose a novel parallel algorithms for the reduction of boundary matrices… Expand

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