Re:Internal representations of LLMs encode information about...
by youoy on Wednesday October 30, 2024 @01:47PM
(#41998107)
I think "manifolds" in AI are not the same as actual smooth manifolds. For starters I would not expect them to have locally the same dimension across the whole dataset.
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Re:Internal representations of LLMs encode information about...
by ottaborra on Wednesday October 30, 2024 @04:45PM
(#42000066)
Something to chew on for me. But what is a manifold then if not a topological space that is locally the same as R^(some dimension) ?
Re:Internal representations of LLMs encode information about...
by youoy on Wednesday October 30, 2024 @05:28PM
(#42000577)
What I meant is that I can imagine cases where some part of the dataset may look like R2 and then colapse to have a spike that looks like R1, so it is not a standard manifold where all of it has the same dimension.
Appart from that, these "manifolds" have noise, so that is another difference with the standard manifolds.