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OpenAI algorithm for the FFT is less a breakthrough and more a malicious exploit

https://www.argmin.net/p/faster-fourier-transforms
15•mochomocha•1h ago

Comments

p11p•17m ago
This is a bad take. I will happily acknowledge the new term "slopository" which I had not heard before, while taking the author to task for malice towards theorists. STOC/FOCS/SODA, etc are not about "doing practical algorithms". If you want that, you go to ESA, ALENEX, or VLDB/SIGMOD, or any of the other more applied venues featuring this work. I don't think it's fair to just shit on theory because they don't do experiments---they're mathematicians, and it is fine to have absurd constants in your big-O as long as they are constants.

PS. I can have this view while simultaneously thinking that Ben is a badass.

skybrian•8m ago
If algorithmic theorists don't care about practical performance then why should we care about what they're doing? It's just a strange game they're playing, of no interest to anyone else.

It seems like rather than coming up with more "galactic" algorithms, a more useful thing to do might be to come up with a replacement for big-O that's not so exploitable, and to convince theoreticians to play that game instead.

scuppernong•8m ago
Did not realize that the model of computation for all of the banner computational complexity results was "exact complex arithmetic." Is this and/or "exact real arithmetic" a common premise for papers in this field? My assumption as an outsider was that people mostly care about things equivalent to Turing machines.
jiggawatts•6m ago
> the algorithm requires you to multiply complex numbers whose magnitudes grow superpolynomially with n.

Err... doesn't that completely invalidate the big-O analysis!?

I suspected that these Open AI "proofs" of sub-nlogn times were cheating somehow, by sweeping something under a rug. This seems to be it!

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OpenAI algorithm for the FFT is less a breakthrough and more a malicious exploit

https://www.argmin.net/p/faster-fourier-transforms
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