This repository contains codes and data for the article Pull-back Geometry of Persistent Homology Encodings.

Folder structure

.
├── Identifying-what-is-recognized      # Codes and data for section 4 "Identifying what is recognized"
│   ├── Figure                          # Figures shown in section 4
│   │   ├── align.png
│   │   └── ...
│   │
│   ├── Experiments.ipynb               # Scripts to replicate the experiments in section 4
│   ├── utilyze.py                      # Functions needed in the experiments
│   └── pbn_perturb_func.py             # Function to compute average pull-back norm for perturbations
│
└── Selecting-hyperparameters           # Codes and data for section 5 "Selecting hyperparameters"
    ├── Data                            # Brain artery tree data
    │   ├── label.csv                   # Labels of brain artery trees
    │   └── data_pc.pkl                 # Vertices of brain artery trees
    │
    ├── Figure                          # Figures shown in section 5
    │   ├── correlation_cnn.png
    │   └── ...
    │
    ├── Experiments_1.ipynb             # Scripts to replicate the experiments in section 5.1
    ├── Experiments_2.ipynb             # Scripts to replicate the experiments in section 5.2
    └── utilyze.py                      # Functions needed in the experiments