Some related papers: [1][2][3][4]
Reference
Pun, Chi Seng, Kelin Xia, and Si Xian Lee. “Persistent-Homology-based Machine Learning and its Applications—A Survey.” arXiv preprint arXiv:1811.00252 (2018).
Carlsson, Gunnar, and Rickard Brüel Gabrielsson. “Topological approaches to deep learning.” arXiv preprint arXiv:1811.01122 (2018).
Gabrielsson, Rickard Brüel, and Gunnar Carlsson. “Exposition and interpretation of the topology of neural networks.” 2019 18th IEEE International Conference On Machine Learning And Applications (ICMLA). IEEE, 2019.
Bergomi, Mattia G., et al. “Towards a topological–geometrical theory of group equivariant non-expansive operators for data analysis and machine learning.” Nature Machine Intelligence 1.9 (2019): 423-433.