Sparse dowker homology

In this tutorial we describe the use of the python package dowker_homology to calculate the persistent homology of point clouds, weighted networks and more general filtered covers. To read more about the theory behind the python package we refer to [1] and [2].

[1]	Blaser, M. Brun. Sparse Dowker Nerves. https://arxiv.org/abs/1802.03655 (2018).

[2]	Blaser, M. Brun. Sparse Filtered Nerves. https://arxiv.org/abs/1810.02149 (2018).

Contents

• Tutorial
  • Čech persistent homology
  • Intrinsic Čech complex
  • Alpha complexes
  • Sparse Dowker Nerves
  • Subspace sparsification
  • General interleavings
  • Dowker dissimilarities
  • Alternative restrictions and truncations
  • Persistence in pipelines
• API Documentation
  • Persistence
  • Datasets

Indices and tables

• Index
• Search Page