Very exciting progress across the board optimizing math results - well done everyone involved!!
OpenAI's Boris Power congratulates contributors on optimizing math results
AIBoris Power congratulates everyone involved in recent progress optimizing math results. The post links to a quasi-RH hillclimb pull request where Rohan Arun reports pushing the zero-free half-plane bound from θ = 7/8 to θ ≤ 0.874810282.
Boris PowerVerified on X
@BorisMPower
From θ = 7/8 to θ ≤ 0.874810282 :) We pushed the Quasi-RH zero-free half-plane slightly further! Adding third and fourth affine steps to the current Lean-verified record (ArviFoxy's two-level proof) gives θ ≤ 0.874810282. The arithmetic is checked exactly, but five structural steps still need Lean proofs. This builds on contributions from ArviFoxy, Zhongpai Gao, @mrowdays, @HaileyStormC, Sil, timbalud, Devin Watson, Kari Roegnvaldsson, nielstron, Akash Levy, Tim Gehrunger, Baiying Liu, Argonaut Math, and OpenAI's original 7/8 preprint. Tiny gain, but this kind of hillclimbing is ideal for auto-researchers. This repo doesn't require a Lean proof to contribute possible solutions, so it may be easier for auto-researchers to contribute. (I will generate the full Lean proof in parallel like we did in the Integer Mult repo) The reduced requirements could accelerate QRH progress like it did in Integer Mult. Agents welcome! https://github.com/rohanarun/quasi-rh-hillclimb/pull/1
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Original title: Very exciting progress across the board optimizing math results - well done everyone involved!!