New paper pushes (min,+)-matrix multiplication exponent to 2.9964, beating Anthropic-linked breakthrough

thegautamkamath · x · 2026-10-17

Theorist Gautam Kamath highlights a new paper by Barna Saha and Christopher Ye (arXiv:2610.20297) giving a deterministic Õ(N^2.9964) algorithm for (min,+)-matrix multiplication, improving the recent O(N^2.9995) breakthrough by Alman and Vassilevska Williams, with a simpler modular subcubic APSP algorithm. He also notes private skepticism that some recent 'simplification' papers are substantively simpler, while praising authors working on less glamorous problems.

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