2026-10-11 18:02 UTC

Expert review and reproduction will determine whether the paper’s optimization and AlphaEvolve-assisted method validly improves the best known matrix-multiplication exponent.

state: expiredheat: lowuncertainty: highknownscott: mediumalgorithm-discovery coding-agents ai-research

What is this?

An arXiv preprint reports a method combining problem reformulation, gradient-based optimization, and refinement with Google DeepMind’s Gemini-powered AlphaEvolve coding agent to seek better matrix-multiplication algorithms. The supplied snippets directly establish only AlphaEvolve’s narrower result: multiplying 4×4 complex matrices with 48 scalar multiplications, versus Strassen’s previous 49 in that setting. They do not establish an improved asymptotic matrix-multiplication exponent; the snippets explicitly raise uncertainty about recursive applicability and generalization, so the stronger claim remains dependent on expert review and reproduction.

Why it matters to Scott

Scott already holds the governing position in Verification Loops and Provenance-Coupled Work: an AI-assisted research claim must remain traceable and provisional until observable, independently reproducible checks validate it. This is a consequential new test case—especially if the claimed asymptotic improvement survives review—but the supplied evidence currently adds no validated result beyond a narrower 4×4 multiplication improvement; the radar also already tracks analogous expert-validation cases in AI mathematics.
ip:concept.verification-loopsip:framework.provenance-coupled-workip:concept.mechanically-different-verifiersradar:concept.ai-mathematicsradar:concept.ai-for-scienceradar:hyra-sum-difference-proof-validationradar:gpt-5-6-convex-proof
queries asked of Scott's wikis
  • AI-assisted algorithm discovery and scientific validation
  • coding agents for optimization search
  • reproducibility of machine-discovered algorithms
  • gradient search combined with evolutionary agents
  • verification harnesses for AI-generated research
  • agent-generated discoveries versus asymptotic improvements

Measured heat

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How the heat travelled

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Evidence (3) — ⭐ canonical anchor

sourceobjectauthorscorecomments
🟧 hnImproving matrix multiplication exponent with optimization and AlphaEvolvesonabinu80
🟧 echo.paper ⭐The arXiv preprint is the original primary artifact. It reports a combined reformulation, gradient-based optimization, and AlphaEvolve refinEmilien Dupont, Marvin Eisenberger, Borislav Kozlovskii, Abbas Mehrabian, Francisco J. R. Ruiz, Abigail See, Renfei Zhou, Josh Alman, Virginia Vassilevska Williams, and Matej Balog——
🟧 hnImproving matrix multiplication exponent w. modern optimization and AlphaEvolvetheanonymousone10

Interpretation history

Decision trace