Internal Anthropic model refuted the 3SUM and APSP hypotheses: first truly subquadratic 3SUM and truly subcubic APSP (Alman & Vassilevska Williams)
New preprint gives deterministic O(n^1.9992) 3SUM and O(n^2.9995) integer-weight APSP. These are the first polynomial improvements over the textbook n² and n³ bounds. The key is a new thin matrix product algorithm, which known reductions turn into speedups for Exact Triangle, Zero-Weight k-Clique,…
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