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

Network Data Analysis 

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

  2. Chowdhury, S. and Mémoli, F., Persistent Path Homology of Directed Networks, arXiv preprint arXiv:1701.00565 (2017). [arXiv link]

  3. Chowdhury, S. and Mémoli, F., Persistent Homology of Asymmetric Networks: An Approach based on Dowker Filtrations, arXiv preprint arXiv:1608.05432 (2016). [arXiv link]

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

  5. 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.

  6. 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.

  7. 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.

Machine Learning

  1. 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]

Metric Geometry

  1. Chowdhury, S. and Mémoli, F., 2016. Constructing Geodesics on the Space of Compact Metric Spaces. arXiv preprint arXiv:1603.02385.