English

Generalization of Hamiltonian algorithms

Machine Learning 2024-08-30 v2

Abstract

The paper proves generalization results for a class of stochastic learning algorithms. The method applies whenever the algorithm generates an absolutely continuous distribution relative to some a-priori measure and the Radon Nikodym derivative has subgaussian concentration. Applications are bounds for the Gibbs algorithm and randomizations of stable deterministic algorithms as well as PAC-Bayesian bounds with data-dependent priors.

Keywords

Cite

@article{arxiv.2405.14469,
  title  = {Generalization of Hamiltonian algorithms},
  author = {Andreas Maurer},
  journal= {arXiv preprint arXiv:2405.14469},
  year   = {2024}
}
R2 v1 2026-06-28T16:37:06.667Z