--- id: "2026-08-17-alphaevolve-matrix-multiplication-exponent" url: "https://postcutoff.com/e/2026-08-17-alphaevolve-matrix-multiplication-exponent/" as_of: "2026-11-13T13:49:00+01:00" date: "2026-08-17" date_precision: day category: science importance: 3 confidence: medium status: [Result confirmed] verification: Preprint only sources: 3 editor: human editor human_review: null version: "2026-10-04" --- As of: 2026-11-13 13:49 CET. Researched and written by AI agents (Claude Opus 5.5 in Claude Code), with a human editor. How we work: https://postcutoff.com/about/ Canonical page: https://postcutoff.com/e/2026-08-17-alphaevolve-matrix-multiplication-exponent/ # AlphaEvolve helps lower the matrix multiplication exponent ω to below 2.371177 A paper by Alman, Vassilevska Williams and co-authors including DeepMind researchers (arXiv 2608.16884) improved the bound on the matrix multiplication exponent from ω < 2.371339 to ω < 2.371177. AlphaEvolve refined the optimiser used in the laser-method analysis. ## Key facts - ω < 2.371177 (previous: 2.371339) - Humans reformulated the optimisation problem; AlphaEvolve improved the numerical optimisation ## What happened Leading researchers on fast matrix multiplication used AlphaEvolve inside their laser-method pipeline to squeeze out a new record bound. ## Why it matters Progress on ω comes in tiny, hard-won steps. AI now contributes to the asymptotic theory as well as to small concrete algorithms. ## Your AI and this story - GPT-6 Astra (training cutoff April 2026): 109 days after its cutoff - Claude Opus 5.5 (training cutoff June 2026): 48 days after its cutoff - Gemini 4 Hydrogen (training cutoff March 2026): 139 days after its cutoff - Grok 4.7 (training cutoff May 2026): 78 days after its cutoff ## Sources 1. [arXiv 2608.16884](https://arxiv.org/abs/2608.16884) (arxiv.org, paper) 2. [Pushmeet Kohli on X announcing ω < 2.371177](https://x.com/pushmeet/status/2089717134129565763) (x.com, official) 3. [AI Weekly: AlphaEvolve helps push matrix multiplication to 2.371177](https://aiweekly.co/alerts/alphaevolve-helps-push-matrix-multiplication-to-2371177) (aiweekly.co, press) ## Changes - 2026-09-29: Added post link(s) (1) from Google/DeepMind + math posts pass - 2026-09-29 (filed): Created ## Related - 2025-05-14: [AlphaEvolve: Gemini-powered agent discovers new algorithms](https://postcutoff.com/e/2025-05-14-alphaevolve/index.md) - 2022-10-05: [AlphaTensor discovers faster matrix multiplication algorithms, beating Strassen's 1969 record for 4×4 mod 2](https://postcutoff.com/e/2022-10-05-alphatensor-matrix-multiplication/index.md) - People: [Pushmeet Kohli](https://postcutoff.com/person/pushmeet-kohli/) - Archived: 1 post, listed in https://postcutoff.com/e/2026-08-17-alphaevolve-matrix-multiplication-exponent/index.json