cubical persistent homology | handwritten digits data | preparation | a fixed-parameter walkthrough | pre-processing recipe | classification forest | fitting and evaluation | tuning hyperparameters | tunable pre-processing recipe | tunable classification forest | hyperparameter tuning

Purpose | Installation | Sample dataset | Calculating persistent homology | Visualizing persistent homology | References

Definitions | Validation | Distances between nontrivial diagrams | Distances from the trivial diagram | Benchmarks | References

Background | Methods | Datasets | Persistent homology | Cases Visualization | First fit: Model without Topological Features | Second fit: Model with Topological Features | Results | Discussion | References

Structure of the class | Supported inputs

Sample dataset | Calculating persistent homology

Sample dataset | Calculating persistent homology | Dataset formats | Coefficients in various prime fields

Set up | Volume-preserving parameterizations | Stratified sampling | Rejection sampling | Making custom samplers | Set down

Point cloud input | Distance matrix input

Statistical inference with permutation tests | Case study: unif2d versus circle2d | References