In complexity concept especially, theorems typically join smoothness steps to circuit dimension steps (which can be another class of complexity actions which imply very low Kolmogorov complexity although not vice versa).
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We’re not stating that discrete complexity steps thoroughly seize what we treatment about for NNs! We do even so Imagine that they're sufficiently appropriate being educational for the bigger photograph, even though equally as a proxy for what we truly treatment about.
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The comparison with Solomonoff induction strikes me as wrong, due to the fact Solomonoff induction adapts to new information, While "most capabilities that in shape a given established of coaching information will not likely generalise very well to new data." commonly implies that the function is learned and therefore mounted when provided new details.
"Simple" functions while in the LZ perception are Consequently kinds that respond to binary vectors in (about) a predictable way,. Â What does it indicate to get a function to respond to binary vectors in a predictable way?
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