Microsoft Research resolves the 31-year-old KLS conjecture in high-dimensional geometry
AIMicrosoft Research says researchers, including Xinzhi Zhang, proved the KLS conjecture, which concerns cuts in high-dimensional probability distributions. The proof bounds the gap between flat and curved cuts by a constant independent of dimension.
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The source explains the KLS conjecture's background, the proof's key steps, and how researchers directed AI agents, useful for judging AI-assisted mathematics.
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Microsoft Research · Xinzhi Zhang · microsoft.comPublished · added here
Original title: Solving a 31-year-old grand challenge in mathematics – the KLS conjecture