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OpenAI数学证明发布未达学界新标准

AI 总结

OpenAI本周在GitHub发布数百份(文中称719篇手稿)高难数学问题的解答,并称已咨询一个精英数学家顾问组,以避免上次引发争议。但TechCrunch指出,这批材料中仅10篇附有模型的思维链,且按文中表述约42%的证明未经过Lean形式化;由普林斯顿高等研究院主办的数学与人工智能顾问组(AGMAI)表示,其建议是否被落实最终要由数学界评判,而该组织提出的第一项建议就是"停止在专有模型上测试高等数学问题"。剑桥大学与伦敦国王学院的论文还记录了OpenAI对一道纳维-斯托克斯方程相关问题的解答,在自然语言证明与Lean代码之间至少存在两处不一致,作者认为这类自动形式化证明不应未经同行评审就被信任。

深度见解

随着前沿模型越来越多地产出数学结果,如何保证人类能理解并验证这些证明,正成为AI科研可信度的关键议题。

When OpenAI released hundreds of claimed solutions to some of the world’s hardest math problems this week, the frontier lab said that it had consulted an advisory group of elite mathematicians to avoid the controversy that came with the last time one of its models solved a long-standing problem in the field.

But OpenAI fell short of those standards, particularly where the mathematicians emphasized the need for human understanding of a mathematical result. That’s especially concerning after a new paper highlighted gaps between the natural language and formally expressed solution to a million-dollar problem ostensibly solved by OpenAI’s models.

The Advisory Group on Mathematics and Artificial Intelligence (AGMAI), hosted by the Institute for Advanced Study, is made up of nine prominent researchers at institutions around the world.

The organization released guidelines for frontier labs solving math problems at the end of September. In a statement on the latest set of proofs, the AGMAI said that “it is ultimately up to the mathematical community to assess the extent to which our recommendations were followed successfully.”

However, the organization’s first request was “to stop testing advanced mathematical problems on proprietary models.” OpenAI’s release explicitly says that it is evaluating its proprietary models using open research problems in mathematics.

#OpenAI#AGMAI#Lean#Institute for Advanced Study#University of Cambridge#King's College London

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