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Matlab and Python code to compute perturbed topological signatures (PTS), an efficient topological representation that lies on the Grassmann manifold.

License: MIT License

MATLAB 29.86% Python 37.75% Jupyter Notebook 32.38%
computer-vision machine-learning topology topological-data-analysis computational-topology differential-geometry shape-analysis shape-recognition time-series-analysis action-recognition

perturbed-topological-signature's Introduction

Perturbed Topological Signature

Matlab and Python code to compute perturbed topological signatures (PTS), an efficient topological representation computed from a persistence diagram that lies on the Grassmann manifold. If you use this code, please consider citing the following paper:

Som, A., Thopalli, K., Ramamurthy, K.N., Venkataraman, V., Shukla, A. and Turaga, P., Perturbation Robust Representations of Topological Persistence Diagrams. arXiv preprint arXiv:1807.10400., 2018.

Bibtex:

@inproceedings{som2018perturbation,
  title={Perturbation Robust Representations of Topological Persistence Diagrams},
  author={Som, Anirudh and Thopalli, Kowshik and Natesan Ramamurthy, Karthikeyan and Venkataraman, Vinay and Shukla, Ankita and Turaga, Pavan},
  booktitle={Proceedings of the European Conference on Computer Vision (ECCV)},
  pages={617--635},
  year={2018}
}

Links to paper and supplementary:

Paper | Supplementary | Poster

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