A Survey of Vectorization Methods in Topological Data Analysis

This code accompanies the paper

D. Ali, A. Asaad, M.-J. Jimenez, V. Nanda, E. Paluzo-Hidalgo, and M. Soriano-Trigueros, “A survey of vectorization methods in topological data analysis,” IEEE Transactions on Pattern Analysis and Machine Intelligence, pp. 1–14, 2023. doi:10.1109/TPAMI.2023.3308391.

Link to the web-app repository: BRAVA

Library

This experiment is compatible with the following versions of python >= 3.8 & < 3.11.

A library containing all the vectorization methods can be found in the vectorization folder. To install it, download the repository and, in a terminal inside the repository folder, use:

1. pip install -r requirements.txt
2. pip install .

Experiments

Experiments with three datasets were developed that you can find in the following scripts:

Dataset
Outex
Fashion MNIST
Shrec14

The barcodes used in the experiments were calculated using the following scripts:

Dataset
Outex
Fashion MNIST