OpenAI· @OpenAI · X·· 21 天前精选AI 评分74
AI 导读
OpenAI 宣布由一组智能体使用一个能力显著超过 GPT-6 Astra 的下一代模型给出 Navier-Stokes 千禧年大奖难题的解，该问题关注三维光滑流体运动的描述是否会失效，已悬置约 90 年。
推荐理由
原文补充了数据隔离说明，并指出其 Euler 情形证明结果与 Alpöge 和 Buckmaster 的工作不同，读者可据此比较两条独立证明路径。
正文 · 原文
We congratulate Levent Alpöge and Tristan Buckmaster on their remarkable mathematical work.
We (the researchers and the agents) did not see any of their work through any means until they released it publicly — in particular, no specific user data was accessed in order to solve this problem.
While unlikely, we cannot rule out that de-identified data derived from their usage of our products helped improve our models.
However, our proofs differ significantly and even the precise results proved are different in the Euler case (forced vs. unforced).
We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics. The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra. The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.在 X 查看被引用的帖子
来源：OpenAI · x.com