Primarily, we care about NN generalization on challenges exactly where the enter House is continual, frequently R^n. Â The authors argue the finite-established results are applicable to those problems, simply because you can always discretize R^n to acquire a finite set. Â I do not Consider this captures the styles of operate complexity we care about for NNs.
My guess is always that if the OP is correct, just about any neural Web architecture may have a simplicity bias.
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We have now done overtraining, which really should allow SGD to penetrate in the region. This doesn’t manage to make A lot difference to the probabilities we get.
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I agree with Zach above in regards to the primary point of your paper. Just one other issue I’d note is the fact that SGD can’t have basically the same results as random sampling, considering that random sampling wouldn’t display phenomena like (@Deep Double Descent@).
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" Alternatively, the publish (plus the related papers) argues that this hypothesis is true because it's a chic hypothesis that points out the info perfectly (and they've a variety of experiments to again this up.)
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