2019

On Generalization Error Bounds of Noisy Gradient Methods for Non-Convex Learning

Li, Jian, Luo, Xuanyuan, Qiao, Mingda

Understand

Generalization error (also known as the out-of-sample error) measures how well the hypothesis learned from training data generalizes to previously unseen data.

  • Proving tight generalization error bounds is a central question in statistical learning theory.
  • In this paper, we obtain generalization error bounds for learning general non-convex objectives, which has attracted significant attention in recent years.
  • We develop a new framework, termed Bayes-Stability, for proving algorithm-dependent generalization error bounds.

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