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Exploring the beauty of pure mathematics in novel ways | Better HN

Exploring the beauty of pure mathematics in novel ways (opens in new tab)

(deepmind.com)

88 pointsmx124y ago4 comments

4 comments

kmill4y ago

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"

raptortech4y ago

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

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

bsedlm4y ago

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

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.

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