Tutorials

Each of the tutorials below can be downloaded as a Jupyter notebook (scroll to the bottom of each page for a download link). Here are some topics we cover, or plan to cover soon:

Persistent homology (barcodes, persistence diagrams)
- Vietoris-Rips complexes
Optimal cycle representatives
- Vietoris-Rips complexes
- Dowker complexes
Vietoris-Rips complexes
- Construction
- Simplices
- Boundary matrices
  - Oracles
  - Scipy sparse formats
  - Visualization
- Computing (co)boundaries
- Computing (co)bounding chains
- Enclosing radius
Umatch decomposition
- basic construction
- generalized matching matrix
- differential COBM
- R = DV factorization
- RU = D factorization
- cycle representatives
- bounding chains
- cocycle representatives
- cobounded chains
Plotting
Point clouds