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Ramsey numbers are notoriously hard. Amazing to see AlphaEvolve improve bounds for 5 classical Ramsey numbers - some for the first time in 10+ years - by discovering search procedures itself. A big milestone in AI for maths - congrats to the team!
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"text": "Ramsey numbers are notoriously hard. Amazing to see AlphaEvolve improve bounds for 5 classical Ramsey numbers - some for the first time in 10+ years - by discovering search procedures itself. A big milestone in AI for maths - congrats to the team!",
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"text": "Happy to share new progress in AI for Maths @GoogleDeepMind . \n\nIn extremal combinatorics, AlphaEvolve has helped establish new lower bounds for FIVE classical Ramsey numbers - a problem so challenging that even Erdős commented on its difficulty.\n\nHistorically, computationally deriving these bounds required bespoke, human-designed search algorithms. For many of these bounds, the best previous results are at least a decade old. AlphaEvolve changes this by acting as a single meta-algorithm that automatically discovers the search procedures needed to find these new bounds. 📷",
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