Hong Wang

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1. 1d
   OpenAI posts 722 math manuscripts, including 175-page 4D Kakeya proof

   OpenAI published a first batch of 722 math manuscripts on GitHub on October 6, including a 175-page paper claiming to raise the Hausdorff dimension lower bound for four-dimensional Kakeya sets from 3.059 to the full value 4, and a 97-page paper targeting a stronger maximal-function version of the three-dimensional result proved by Hong Wang and Zahl. The arguments lean heavily on prior estimates by Guth, Wang and Zahl and still require independent checking. Reactions collected by The Decoder ranged from astonishment at the results to criticism of dumping hundreds of papers at once and concern about the effect on the research community.

   36氪 人工智能 · 🔥 20

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