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> LLMs generally perform bounded computation per token, so they cannot reason about computational problems that are more than linearly complex, for a sufficient
by klabb3 2y ago
> LLMs generally perform bounded computation per token, so they cannot reason about computational problems that are more than linearly complex, for a sufficiently large input instance.
I can’t judge if this is true, because I don’t know transformers well, but if it is, it unravels an intuitive thought I’ve never been able to articulate about not only LLMs, but possibly all pattern matching and the human analog of System 1 thinking.
Another fuzzy way of saying this is there’s something irreducible about complexity that can’t be pattern matched by any bounded heuristic – that it’s wishful thinking to assume historical data contains hidden higher-level patterns that unlock magical shortcuts to novel problems.
- jhanschoo 2y ago> it’s wishful thinking to assume historical data contains hidden higher-level patterns that unlock magical shortcuts to novel problems In the right context, why not? You rely on this everyday to navigate the world with more facility than a newborn. Have you heard about the different formal notions of complexity and especially Kolmogorov complexity?