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My undergrad research was on CW complexes and I did spend the following decade trying find applications for it in ML. It has worked out approximately twice, but my god is it powerful when it naturally fits a problem space.

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Please do elaborate! This [1] is pretty much the only succesful use case I've seen so far. The use case in NLP [2] I've seen was a negative result.

[1] https://arxiv.org/abs/1802.04443

[2] https://arxiv.org/abs/1705.10900

Would love to hear more.

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