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Topology seems like a field AI could help isnt? Cant AI generate topology equivalent shapes for example?
by quadcore 4y ago
Topology seems like a field AI could help isnt? Cant AI generate topology equivalent shapes for example?
- deleted 4y ago[deleted]
- ginnungagap 4y agoI do research mostly in general topology and topological dynamics, but I don't really see how AI would help, producing homeomorphic (topologically equivalent) spaces is not really the point. In general even presenting a topological space to a computer is not easy. This can be done for very good spaces, for example those admitting (finite) triangulations, and there are some algorithms there, but my understanding is that you run into undecidability issues very quickly. But for the kind of spaces I work with (which are usually compact metrizable connected, so way better than arbitrary topological spaces) there seems to be no hope to get a computer to work with them.
- orlandpm 4y agoYes! I’m working on this in my PhD research. Here’s a relevant Caltech lecture aimed at a general scientific audience, discussing use of ML to detect equivalent knots. https://m.youtube.com/watch?v=etNErJ1iuno https://m.youtube.com/watch?v=etNErJ1iuno