English

Relative Deviation Learning Bounds and Generalization with Unbounded Loss Functions

Machine Learning 2016-04-06 v4

Abstract

We present an extensive analysis of relative deviation bounds, including detailed proofs of two-sided inequalities and their implications. We also give detailed proofs of two-sided generalization bounds that hold in the general case of unbounded loss functions, under the assumption that a moment of the loss is bounded. These bounds are useful in the analysis of importance weighting and other learning tasks such as unbounded regression.

Keywords

Cite

@article{arxiv.1310.5796,
  title  = {Relative Deviation Learning Bounds and Generalization with Unbounded Loss Functions},
  author = {Corinna Cortes and Spencer Greenberg and Mehryar Mohri},
  journal= {arXiv preprint arXiv:1310.5796},
  year   = {2016}
}
R2 v1 2026-06-22T01:51:30.258Z