Generalization II
summary
Shows that uniform deviation between population and empirical losses is essentially captured by Rademacher averages using symmetrization with a ghost sample and ±1 random signs, with tight upper and lower bounds up to constants. Tools: contraction (Lipschitz losses), covering numbers/Dudley integral, and layerwise Frobenius or 1‑norm scaling. Consequence: binary losses drop to Rademacher of predictors, sigmoid nets give O(B^2 sqrt(d/n)), ReLU nets scale like product‑of‑layer‑norms / sqrt(n).
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chapters (9)
- 0:00Recap
- 2:51Abstract
- 12:45Random Averages
- 17:01Examples
- 27:11The Big Theorem
- 36:51Losses
- 43:21Deep Networks
- 45:01Sigmoid
- 58:11Maximum Over Functions
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