Exploring the beauty of pure mathematics in novel ways

  • 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"

  • See also: https://coq.inria.fr/

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

  • 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