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AI CURATED HOT STORY · 10/22/2026

Microsoft Solves 31-Year-Old KLS Conjecture with AI Agents

1 reports archived1 independent sourcesupdated 10/22/2026, 00:00:00
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Microsoft Research solved the 31-year-old Kannan-Lovász-Simonovits (KLS) conjecture in high-dimensional geometry using a human-directed agentic AI process. The breakthrough establishes a universal geometric principle for log-concave distributions and has been confirmed through independent validation and machine-checked formal verification.

LATEST/Microsoft Research solved the 31-year-old Kannan-Lovász-Simonovits (KLS) conjecture in high-dimensional geometry using a human-directed agentic AI process. The breakthrough establishes a universal geometric principle for log-concave distributions and has been confirmed through independent validation and machine-checked formal verification.

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Total 1 reports · Latest first
  1. Microsoft ResearchT1·85 pts
    • AI agents assisted humans in solving the KLS conjecture by exploring, pruning, and redirecting the search space
    • The study establishes a universal geometric principle for log-concave distributions, showing simple flat cuts capture narrowest bottlenecks within a fixed factor
    • Results were validated by multiple independent researchers and underwent machine-checked formal verification