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Out-of-sample error equals in-sample error plus a penalty for model complexity

Y.S. Abu-Mostafa, in explaining the VC inequality of PAC learning.

I'll be there.

This phenomenon--that it takes less much less will-power to carry out a predefined plan than to continually make decisions while acting--is well-known to athletes, especially runners. I think most people who train would agree that the hardest part of a workout is getting started, and it takes surprisingly little will-power to finish. There have been some interesting studies showing that an experienced runner maintains a constant pace on a long run--he has an nonconscious sense of the pace he will be able to maintain, which is largely independent of his cur... (read more)