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AlexNet wasn't one breakthrough. It was several older ideas, combined and run at the right scale for the first time. Almost every piece is something we have already met.
The depth came from stacking layers of neurons, each one learning a slightly more abstract pattern than the layer before: raw pixels in, high-level concepts out. The fix that kept the training signal from fading on its way down all those layers was
Two more techniques helped the network learn the general idea instead of memorizing the exact training photos. Remember the danger from earlier: a network that memorizes its examples aces the practice set, then fails on anything it hasn't seen.
The first was
The second was
None of these ideas were brand new. The contribution was putting them together carefully, at scale, and showing that the combination worked dramatically better than the previous approach.
The result spoke for itself.