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Cake day: February 6th, 2024

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  • Yes - on the theoretical side, they do have an actual improvement, which is a non-asymptotic reduction in the number of multiplications required for the product of two 4x4 matrices over an arbitrary noncommutative ring. You are correct that the implied improvement to omega is moot since theoretical algorithms have long since reduced the exponent beyond that of Strassen’s algorithm.

    From a practical side, almost all applications use some version of the naive O(n^3) algorithm, since the asymptotically better ones tend to be slower in practice. However, occasionally Strassen’s algorithm has been implemented and used - it is still reasonably simple after all. There is possibly some practical value to the 48-multiplications result then, in that it could replace uses of Strassen’s algorithm.














  • The Zizians believe in IQ, that animals are ethically equivalent to humans, that all people contain exactly two personality cores corresponding to the two hemispheres of their brains, that every personality core is either intrinsically good or intrinsically evil and less than 5% are good. They believe in violence as a form of mutually assured destruction: you should always escalate every conflict to the maximum in order to dissuade hypothetical agents from blackmailing you. And the stuff about Skynet.

    I think to understand properly it should be recognized that while the personality-core stuff is out of left field, all of the other beliefs are pretty much just logical conclusions of mainstream rationalist thought. For instance Yudkowsky has to repeatedly explain that he’s not in favor of violence (except when he’s advocating for bombing data centers) precisely because it’s really easy to reach that conclusion from what he’s written. The Zizians mainly differ by reaching that logical conclusion and being willing to act on it.