Exploring the beauty of pure mathematics in novel ways

[mx12]

https://deepmind.com/blog/article/exploring-the-beauty-of-pure-mathematics-in-novel-ways

[kmill]

Direct links to the papers:

https://www.nature.com/articles/s41586-021-04086-x "Advancing mathematics by guiding human intuition with AI"

https://arxiv.org/abs/2111.15323 "The signature and cusp geometry of hyperbolic knots"

https://arxiv.org/abs/2111.15161 "Towards combinatorial invariance for Kazhdan-Lusztig polynomials"

[raptortech]

See also: https://coq.inria.fr/

I'm excited about learned search heuristics in theorem space.

[bsedlm]

I wonder how different is this from a super-scaled brute-force approach?

this reinforces my suspicion (as I try to understand it) that the AI's main contribution is auto-categorizing (some form of compression which resembles understanding; I already suspect that understanding is a form of compression) the exhaustive enumerations as they compute the entire search space

[XnoiVeX → bsedlm]

understanding is a function of memory which is a function of time which is a function of gravity which is a function of the curvature of space time.