Auto-research with Opus 5.5 and GPT6 Astra yields explicit fast matmul schemes on GitHub

IgorCarron · x · 2026-10-18

Researcher AntoineTilloy open-sourced explicit-matmul-schemes, the output of an auto-research experiment using Opus 5.5 and GPT6 Astra to hunt for explicit fast matrix multiplication algorithms. The goal: test whether insights from record asymptotic constructions built on the Coppersmith-Winograd tensor can yield practical explicit rational square-matrix schemes, with exact coefficient access, proof witnesses, and literature comparisons. IgorCarron's take: whether these schemes can be substantially improved decides if fast matrix multiplication will ever be practically relevant.

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