Will a matmul algorithm better than O(n^{2.371552}) [Willians et al. 2023] be published before the end of 2025?
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resolved Dec 13
Resolved
YES

To date the best announced bound on the asymptotic complexity for matrix multiplication is 2.371552, published as a preprint [1].

Before the end of 2025, will a better bound appear in PEER REVIEWED venue?

Preprints will not be accepted as sufficient evidence, since there are perverse market incentives and verification issues for resolution.

[1] https://cs.paperswithcode.com/paper/new-bounds-for-matrix-multiplication-from

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bought Ṁ1,750 YES

https://arxiv.org/pdf/2404.16349 (2.371339) was accepted to SODA 2025 (https://www.siam.org/conferences-events/siam-conferences/soda25/program/accepted-papers/) which is peer reviewed, meeting the criteria in the description. resolves YES.

@BaryLevy @mods author seems inactive, can we get a resolution?

@BaryLevy I will resolve Yes based on the information in your post.

@Eliza Addendum: It's not 100% clear to me from the market description if we need to wait for the event to actually happen to resolve. I will resolve Yes but if this gets cut out or something weird happens before the actual event we may need to re-resolve.

i believe there is one now? new bound: 2.371339

https://arxiv.org/pdf/2404.16349

What if the algorithm is accepted to a peer-reviewed conference by EOY but the proceedings haven’t been published yet? E.g. SODA is in January.

@Widden relevant question

Is it by the end of 2024 as in the description or 2025 as in the title?

predictedYES

@AntoineTilloy 2025, description was a typo, thanks for the catch. Most traders will have looked at title and resolution time, not description.

@Widden sure, thanks, was just asking to be sure

Researchers love to find "better" algorithms for matrix multiplication.

predictedYES

They cannot be stopped.

@jskf Market will still resolve yes if the bound is only valid for N>10e100e100, on every 2nd Tuesday of the month, while standing on one leg

predictedYES

Yes I know 😭

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