AlphaEvolve: matrix multiplication exponent below 2.371177
Dupont and collaborators report ω<2.371177 by improving the combination-loss optimization and refining it with AlphaEvolve.
Original report: 2026-08-17The matrix-multiplication exponent
The exponent describes arithmetic-operation growth for large square matrices.
Progress records 2
Understand the problem ↓2 records · How we rate progress
OpenAI reports: The matrix-multiplication exponent
The manuscript reports that the complex matrix-multiplication exponent is at most 9/4.
Read original source Original manuscript · family 107github.com
Original report: 2026-10-06Understanding the problem
Read the background
The exponent describes arithmetic-operation growth for large square matrices. It is distinct from scalar counts for one fixed matrix size and from measured hardware runtime.
Read the claim in its exact mathematical setting. A manuscript is a research report; its presence in this catalog does not establish that the proof has been independently verified or that the historical novelty assessment is complete.
Why it matters
A focused research target whose precise scope can be followed separately from the general capability of an AI system.
What counts as progress
A sourced new theorem, construction, bound, algorithm, or formalization with its baseline and evidence stated.
What to watch for
- Check the formal statement, assumptions, and cited prior results against the claimed improvement.
- Keep author-reported checking, independent checking, and manuscript availability separate.
- Track revisions to the pinned source and any subsequent expert assessment.
Background review: 2026-10-11. Selected sources:
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