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The paper talks a bunch about things such as SGD staying (almost) Bayesian along with the neural community prior getting minimal Kolmogorov complexity; I discovered these to generally be distractions from the primary point.
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Specifically, I am cautious of the main target on measuring complexity for capabilities involving finite sets, like binary capabilities.
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The Levin bound isn't going to implement straight to neural networks, mainly because it assumes that P is finite and discrete, but it really gives some further backing to your instinct earlier mentioned.
I concur with Zach over about the major place in the paper. Just one other issue I’d note is always that SGD can’t have pretty much exactly the same results as random sampling, considering 파워볼분석 that random sampling wouldn’t display phenomena like (@Deep Double Descent@).
There is a couple of gazillion steps of "simplicity". If we choose some simplicity measure M, the standard rule is usually that things with lower M-complexity have low Kolmogorov complexity, but items with very low Kolmogorov complexity Do not always have low M-complexity.
For instance, NALUs give neural networks a chance to "see" arithmetic relations extra simply. I for this reason absolutely Assume It can be an incredibly appropriate concern which complexity measure very best describes the bias in neural networks (and I believe this truly matters for practical problems). Observe the identification perform is extremely smooth.
Knowing their inductive bias looks notably significant, considering the fact 파워볼사이트 that This can be the essential to comprehension almost everything from why they operate to begin with, to phenomena including adversarial illustrations, to the potential risk of mesa-optimisation. I for this reason think that it is sensible for alignment researchers to keep an eye on what is occurring With this Room.
Given that the OP argues (I feel) if this is right, then it makes sense that SGD and random research don't have an effect on the bias that much, considering the fact that more substantial regions of parameter Room will even have more substantial basins of attraction for SGD to roll down. (As for your justification of my pet idea, properly, this is absolutely sketchy but see my prime-degree remark under)
Moreover, most features that healthy a offered set of coaching data will never generalise perfectly to new info.