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    OpenAI reportedly proved an O(n^2.25) matrix-multiplication result without finding an algorithm

    A user says the nonconstructive proof beats the previous O(n^2.37) record but does not produce an algorithm.

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

    TLDR

    A user claims OpenAI proved matrix multiplication can be done in O(n^2.25) operations, improving on a previous O(n^2.37) record. The proof is nonconstructive, the user says: it shows an algorithm must exist without identifying one. The user calls the result especially concerning because AI systems run on matrix algebra.

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    1 Source, first seen 1h ago

    Combined views

    9

    1 Source, first seen 1h ago

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    190 reposts
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    1 Source

    Aran Nayebi@aran_nayebiRT @RokoMijic: OpenAI have proven that matrix multiplication can be done in O(n^2.25) operations, which is a massive improvement. It is esp…1h

    1 Source

    Aran Nayebi@aran_nayebiRT @RokoMijic: OpenAI have proven that matrix multiplication can be done in O(n^2.25) operations, which is a massive improvement. It is esp…1h