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PI-Net: A Deep Learning Approach to Extract Topological Persistence Images

Paper

This repository contains:

  • Sample code to compute persistence images (PIs) using the proposed Image PI-Net and Signal PI-Net models.

  • The provided pretrained Image PI-Net model was trained using the CIFAR10 dataset, and the provided pretrained Signal PI-Net model was trained using the USC-HAD dataset. Scikit-TDA was used to generate ground-truth PIs.

Note, performance of the provided Signal PI-Net model differs from that described in the paper, since the original model was pretrained using the GENEactiv dataset which is not publicly released.

For sample test-set images in CIFAR10, both "main_image_pinet.py" and "main_image_pinet.ipynb" do the following:

  • Load weights from a pretrained Image PI-Net model;

  • Compute PIs using the Image PI-Net model;

  • Compare the generated PIs to ground-truth PIs obtained using conventional topological data analysis (TDA) tools.

Additionally, the "main.py" file saves the PI comparisons for each sample image in the "Examples folder".

Here, we provide pretrained model weights and sample code to train the Signal PI-Net model using the USC-HAD dataset.

To extract ground-truth persistence images for your time-series data, please refer to the following repository: Sublevel-Set-TDA.

Python 3.8.5 was used to create an environment with the following packages.

  • tensorflow == 2.10.0
  • keras == 2.10.0
  • matplotlib
  • numpy
  • scikit-learn
  • scikit-tda

Citation

@inproceedings{som2020pi,
  title={PI-Net: A Deep Learning Approach to Extract Topological Persistence Images},
  author={Som, Anirudh and Choi, Hongjun and Ramamurthy, Karthikeyan Natesan and Buman, Matthew P and Turaga, Pavan},
  booktitle={Proceedings of the IEEE/CVF conference on computer vision and pattern recognition workshops},
  pages={834--835},
  year={2020}
}