~/talk

Generalization II

Talkat Deep Learning Boot Camp 2019 · 2019-05-28..05-31· [machine-learning]
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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).

AI-written summary · about

  1. 0:00Recap
  2. 2:51Abstract
  3. 12:45Random Averages
  4. 17:01Examples
  5. 27:11The Big Theorem
  6. 36:51Losses
  7. 43:21Deep Networks
  8. 45:01Sigmoid
  9. 58:11Maximum Over Functions
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