PPH: software for computing Persistent Path Homology on networks. [software]

PersNet software package for computing persistence on networks. [software]

Papers 

  1. Chowdhury, S., Dai, B. and Mémoli, F., The Importance of Forgetting: Limiting Memory Improves Recovery of Topological Characteristics from Neural Data. PLoS ONE (2018). [Journal link]

  2. Adams, H., Chowdhury, S., Jaffe, A.Q., and Sibanda, B., Vietoris-Rips Complexes of Regular Polygons, arXiv preprint arXiv:1807.10971 (2018). [arXiv link]

  3. Chowdhury, S. and Mémoli, F., The Gromov-Wasserstein distance between networks and stable network invariants, arXiv preprint arXiv:1808.04337 (2018). [arXiv link]

  4. Chowdhury, S. and Mémoli, F., The Metric Space of Networks, arXiv preprint arXiv:1804.02820 (2018). [arXiv link]

  5. Chowdhury, S. and Mémoli, F., Explicit Geodesics in Gromov-Hausdorff Space. Electronic Research Announcements in Mathematical Sciences, 2018, 25: 48-59. [arXiv]

  6. Chowdhury, S. and Mémoli, F., Persistent Path Homology of Directed Networks, In the Proceedings of the 29th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2018). [ SODA version ] [ Slides ] [Code] [arXiv v1]

  7. Chowdhury, S. and Mémoli, F., A functorial Dowker theorem and persistent homology of asymmetric networks. In the Journal of Applied and Computational Topology. [journal link] arXiv preprint arXiv:1608.05432 (2018). [arXiv] [old version with supplementary experiments]

  8. Chowdhury, S. and Mémoli, F., Convergence of Hierarchical Clustering and Persistent Homology Methods on Directed Networks, arXiv preprint arXiv:1711.04211 (2017). [arXiv link]

  9. Chowdhury, S. and Mémoli, F., Distances and Isomorphism between Networks and the Stability of Network Invariants, arXiv preprint arXiv:1708.04727 (2017). [arXiv link]

  10. Chowdhury, S., Dai, B., and Mémoli, F., Topology of Stimulus Space via Directed Network Persistent Homology, COSYNE 2017. [conference link] [ poster ]

  11. Chowdhury, S., Mémoli, F., and Smith, Z. Improved Error Bounds for Tree Representations of Metric Spaces, In the Proceedings of the 30th annual conference on Neural Information Processing Systems (NIPS 2016). [conference link]

  12. Chowdhury, S., and Mémoli, F., Persistent Homology of Directed Networks. In the 50th Asilomar Conference on Signals, Systems, and Computers. IEEE, 2016.

  13. Smith, Z., Chowdhury, S., and Mémoli, F., Hierarchical Representations of Network Data with Optimal Distortion Bounds. In the 50th Asilomar Conference on Signals, Systems, and Computers. IEEE, 2016.

  14. Chowdhury, S., and Mémoli, F., Distances between Directed Networks and Applications, In the 41st IEEE Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2016.

  15. Chowdhury, S., and Mémoli, F., Metric Structures on Networks and Applications, In the 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2015.