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That is exactly suitable. That precise example might be a scenario of significant circuit dimension but very low Kolmogorov complexity.
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This makes it really probable that DNNs are "only executing interpolation", in certain sense, rather than extrapolation. (This by now appeared relatively probable dependant on scaling curves, and also the gaussian approach model presents us a next line of evidence.)
I am undecided how you can reconcile that with another arguments in that article for why it ought to be various, even though, like the experiments that Peter And that i did.
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Alright, I do think a confusion right here is always that I (and the OP AFAIK) Do not discuss precisely the same things as you do when using the word "operate". Solomonoff induction is about courses (usually Turing devices) and out of your remark it looks like the perception of capabilities you are taking. But functions as I am using below (and I'm rather sure this is the indicating from the quote) is just an input/output relation.
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Specially, I am cautious of the main target on measuring complexity for capabilities involving finite sets, which include binary capabilities.
This looks proper, but I'm not sure how that's distinctive from Zach's phrasing of the primary position? Zach's phrasing was "SGD close to equals random sampling", and random sampling finds features with likelihood just proportional for their volume.