Language models are injective and hence invertible
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Re: Language models are injective and hence invertible
#2Re: Language models are injective and hence invertible
#3Re: Language models are injective and hence invertible
#4I don't like the title of this paper, since most people in this space probably think of language models not as producing a distribution (wrt which they are indeed invertible, which is what the paper claims) but as producing tokens (wrt which they are not invertible [0]). Also the author contribution statement made me laugh. [0] https://x.com/GladiaLab/status/1983812121713418606
Re: Language models are injective and hence invertible
#5Re: Language models are injective and hence invertible
#6I wonder how these pieces of understanding can be applied to neuroscience.
Re: Language models are injective and hence invertible
#7This sounds like a mistake. They used (among others) GPT2, which has pretty big space vectors. They also kind of arbitrarily define a collision threshold as an l2 distance smaller than 10^-6 for two vectors. Since the outputs are normalized, that corresponds to a ridiculously tiny patch on the surface of the unit sphere. Just intuitively, in such a high dimensional space, two random vectors are basically orthogonal. I would expect the chance of two inputs to map to the same output under these constraints to be astronomically small (like less than one in 10^10000 or something). Even worse than your chances of finding a hash collision in sha256. Their claim certainly does not sound like something you could verify by testing a few billion examples. Although I'd love to see a detailed calculation. The paper is certainly missing one.
Re: Language models are injective and hence invertible
#8I wonder how these pieces of understanding can be applied to neuroscience.
Re: Language models are injective and hence invertible
#9I don't like the title of this paper, since most people in this space probably think of language models not as producing a distribution (wrt which they are indeed invertible, which is what the paper claims) but as producing tokens (wrt which they are not invertible [0]). Also the author contribution statement made me laugh. [0] https://x.com/GladiaLab/status/1983812121713418606
Re: Language models are injective and hence invertible
#10Any stateful system that exposes state in a flexible way has risk to data exposure.
Does anyone actually think a stateful system wouldn’t release state?
Why not just write a paper “The sky may usually be blue”?