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    A claimed O(n^2.25) matrix multiplication proof doesn't provide an algorithm

    One post credits OpenAI with the claimed proof and says the previous record was O(n^2.37).

    Aran NayebiAN
    1 Source, 1h ago, first seen 1h ago

    TLDR

    One poster says OpenAI proved matrix multiplication can be done in O(n^2.25) operations, beating the previous O(n^2.37) record, but adds that the proof is nonconstructive: no algorithm was found. Another says the result makes Don Knuth’s speculation that P = NP could also have a nonconstructive proof seem less far-fetched to them.

    Combined views

    687

    1 Source, first seen 1h ago

    Combined views

    687

    1 Source, first seen 1h ago

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    1 Source

    Aran Nayebi@aran_nayebiAnd given that the matrix multiplication result above is *non-constructive*, now Don Knuth's speculation that P = NP could have a non-constructive proof too, no longer seems so crazy to me anymore:1h

    1 Source

    Aran Nayebi@aran_nayebiAnd given that the matrix multiplication result above is *non-constructive*, now Don Knuth's speculation that P = NP could have a non-constructive proof too, no longer seems so crazy to me anymore:1h