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Exploring the beauty of pure mathematics in novel ways

88 pointsby mx12over 3 years ago

3 comments

kmillover 3 years ago
Direct links to the papers:<p><a href="https:&#x2F;&#x2F;www.nature.com&#x2F;articles&#x2F;s41586-021-04086-x" rel="nofollow">https:&#x2F;&#x2F;www.nature.com&#x2F;articles&#x2F;s41586-021-04086-x</a> &quot;Advancing mathematics by guiding human intuition with AI&quot;<p><a href="https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2111.15323" rel="nofollow">https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2111.15323</a> &quot;The signature and cusp geometry of hyperbolic knots&quot;<p><a href="https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2111.15161" rel="nofollow">https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2111.15161</a> &quot;Towards combinatorial invariance for Kazhdan-Lusztig polynomials&quot;
raptortechover 3 years ago
See also: <a href="https:&#x2F;&#x2F;coq.inria.fr&#x2F;" rel="nofollow">https:&#x2F;&#x2F;coq.inria.fr&#x2F;</a><p>I&#x27;m excited about learned search heuristics in theorem space.
bsedlmover 3 years ago
I wonder how different is this from a super-scaled brute-force approach?<p>this reinforces my suspicion (as I try to understand it) that the AI&#x27;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
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