I'm currently doing a thesis using TDA. Excuse my shameless opportunism, but the topic I've come up with is using figure h [1] as a channel selection mechanism to select EEG channels [2]. I plan to then use a Gaussian process (similar to an SVM) to detect the time when a seizure occurs.

From your position of expertise, can you see any major problems off the top of your head?

[1] https://media.springernature.com/lw785/springer-static/image... - from the open-access paper https://link.springer.com/article/10.1186/s13104-018-3482-7

[2] quote: "Step III... we applied the Vietoris–Rips filtration to determine which particular sensors (thus, which areas of the brain) are more “involved”∖“significant” concerning the spreading of epileptic seizures"