Great selection of works, but I am missing a lot of references from topology in ML, with the article only assuming a very cursory perspective in terms of 'topology captures connectivity and/or continuity.'
Some works from my colleagues and me go a little bit deeper (no pun intended), for instance:
Some works from my colleagues and me go a little bit deeper (no pun intended), for instance:
- Neural Persistence Dynamics: https://arxiv.org/abs/2405.15732
- Simplicial Representation Learning with Neural $k$-Forms: https://openreview.net/forum?id=Djw0XhjHZb
- A general review on topology in machine learning: https://www.frontiersin.org/journals/artificial-intelligence...
There are more things in topology and machine learning, Horatio, than are dreamt of in your article ;-)