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strommec • yesterday at 11:39 PM • 3 replies • view on HN

It's surprising that Exponential Time Hypothesis would be false. Quoting a paper from 2022[1]:

> We prove that the time complexity of self-attention is necessarily quadratic in the input length, unless the Strong Exponential Time Hypothesis (SETH) is false[...]

If OpenAI's proof is correct, does that mean self-attention can be implemented in sub-quadratic time? I.e. we could eventually have all the most advanced LLMs running on cheap hardware? To put it more playfully, is ETH being false actually bearish for Nvidia?

[1]: https://arxiv.org/abs/2209.04881


Replies

rokob • yesterday at 11:41 PM

No, SETH implies quadratic time does not mean !SETH implies !quadratic time.

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caughtinthought • yesterday at 11:47 PM

SETH is a much stronger claim than ETH

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refulgentis • today at 1:21 AM

It's playful!

But it's also not even wrong, in the Pauli sense.

That makes me wonder if "I see your CS proof, how does this affect LLMs / nvidia stonk price???" being immediately self-described as "playful" ensures criticism looks cranky.

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