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2026-08-01 0 浏览 会员

OpenAI 发布“下一代主要模型”Astra,解决十个此前未解的数学问题

OpenAI 正式确认新模型系列 Astra,其内部版本解决了十个长期未解的数学难题,涵盖多个领域,并通过形式化验证,展示了 AI 在科学推理上的重大突破。

SOURCE / AI小生意项目库 MIN / 9 ACCESS / 会员 POST / 2026-08-01 17:29:49

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作者:Matthias Bastian 来源站点:the-decoder.com 原贴时间:

原文

OpenAI is working on a new AI model family called "Astra," built to handle long-running tasks and complex problems by coordinating multiple agents working together. CEO Sam Altman has already showcased Astra in Washington, D.C. The models are currently being tested and will be the first to go through a planned U.S. government review process that requires official approval before public release. The project reflects OpenAI's broader ambition to build AI systems capable of working on problems continuously for hours or even days at a time. Added Astra announcement and math paper. OpenAI has released its math report, officially confirming the Astra name for the first time. The company says an internal version of Astra, its "next major model family," solved ten open problems in math and theoretical computer science. Mathematicians had made no progress on any of them for at least a decade, and much longer in most cases. The results cover fields ranging from high-dimensional geometry and coding theory to group theory, quantum complexity, lattice cryptography, and extremal combinatorics. One proof establishes the existence of non-sofic groups, resolving a major open question in group theory. Ad Thomas Bloom, a University of Manchester mathematician who runs erdosproblems.com, called the results "big news" on X . He considers them more significant than the counterexample to the unit distance conjecture published in May . "Maybe not bigger than a proof of unit distance would have been, but in terms of constructions, this is big," Bloom wrote. Ad DEC_D_Incontent-1 Bloom also rejected the idea that AI is replacing mathematicians , arguing that the claim makes little sense when the AI draws on more than a century of mathematical theory, was built by mathematicians, and was trained on everything mathematicians have ever written. Noam Brown, one of the researchers behind the test-time reasoning technology used by Astra, said on X that OpenAI had also tried and failed to crack other major problems. "Sadly, no Millennium Prize Problems (yet)," he wrote. The Clay Mathematics Institute offers $1 million for solving each of the seven Millennium Prize Problems, but only one has been solved since the prizes were announced in 2000. Brown added, "But also, we didn't spend a lot on each problem. It's possible to push test-time compute much further." He called Astra a "major step for scientific reasoning." Ad OpenAI says the tokens used to generate all ten solutions would have cost about $2,000 at Sol's API rates. After the model produced its arguments, humans worked with the same model to turn them into research papers. The model also formalized each proof in Lean , creating machine-checkable certificates of mathematical correctness, and OpenAI published a walkthrough of the model's reasoning process for each solution . OpenAI said its researchers helped prepare the papers and formalize the proofs, and that the company takes responsibility for their accuracy. The mathematical arguments themselves, however, came from Astra. Ad DEC_D_Incontent-2 The company argued that claiming human authorship for a proof generated entirely by AI would misrepresent both the system's contribution and the nature of genuine human intellectual work, pointing to the Leiden Declaration on AI and Mathematics as a reference for how credit should be assigned in AI-assisted research. Ad

中文翻译

OpenAI 正在开发一个名为“Astra”的新 AI 模型系列,旨在通过协调多个智能体协同工作来处理长期任务和复杂问题。CEO 萨姆·奥尔特曼已经在华盛顿特区展示了 Astra。这些模型目前正在测试中,并将成为首批通过计划中的美国政府审查流程的模型,该流程要求在公开发布前获得官方批准。该项目反映了 OpenAI 更宏大的雄心,即构建能够连续处理问题数小时甚至数天的 AI 系统。新增 Astra 公告和数学论文。OpenAI 发布了其数学报告,首次正式确认了 Astra 的名称。该公司表示,Astra 的内部版本,即其“下一个主要模型系列”,解决了数学和理论计算机科学中的十个开放问题。数学家们对其中任何一个问题至少十年没有取得进展,大多数情况下更久。这些结果涵盖从高维几何和编码理论到群论、量子复杂性、格密码学和极值组合学等领域。其中一个证明确立了非 sofic 群的存在性,解决了群论中的一个重大开放问题。曼彻斯特大学数学家、运营 erdosproblems.com 的托马斯·布鲁姆在 X 上称这些结果为“大新闻”。他认为这些结果比五月份发表的单位距离猜想的反例更重要。“也许不如单位距离的证明那么重要,但就构造而言,这是重大的,”布鲁姆写道。布鲁姆还驳斥了 AI 正在取代数学家的想法,认为当 AI 借鉴了一个多世纪的数学理论、由数学家构建并接受过数学家所写一切内容的训练时,这种说法几乎没有意义。Astra 使用的测试时推理技术背后的研究人员之一诺姆·布朗在 X 上表示,OpenAI 也曾尝试破解其他重大问题但失败了。“遗憾的是,还没有千禧年大奖难题,”他写道。克莱数学研究所为每个千禧年大奖难题提供 100 万美元奖金,但自 2000 年奖项宣布以来仅解决了一个。布朗补充说:“但我们也没有在每个问题上花很多钱。可以将测试时计算推得更远。”他称 Astra 是“科学推理的重大一步”。OpenAI 表示,用于生成所有十个解决方案的 tokens 按 Sol 的 API 费率计算约为 2,000 美元。在模型生成论证后,人类与同一模型合作将其转化为研究论文。该模型还在 Lean 中形式化了每个证明,创建了机器可检查的数学正确性证书,并且 OpenAI 发布了每个解决方案的模型推理过程演示。OpenAI 表示,其研究人员帮助准备了论文并形式化了证明,公司对其准确性负责。然而,数学论证本身来自 Astra。该公司认为,将完全由 AI 生成的证明归于人类作者身份会歪曲系统的贡献和真正人类智力工作的性质,并引用《莱顿 AI 与数学宣言》作为 AI 辅助研究中应如何分配荣誉的参考。

核心信息

OpenAI 正式确认新模型系列 Astra,其内部版本解决了十个长期未解的数学难题,涵盖多个领域,并通过形式化验证,展示了 AI 在科学推理上的重大突破。

  • OpenAI 正式确认新模型系列 Astra,其内部版本解决了十个长期未解的数学难题,涵盖多个领域,并通过形式化验证,展示了 AI 在科学推理上的重大突破。
  • 原贴提到:OpenAI is working on a new AI model family called "Astra," built to hand
  • 来源:the-decoder.com
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