mlsanityData to 7 Oct 2026

Generalization of Hamiltonian algorithms

arXiv 2405.14469 ↗First posted 23 May 2024cs.LGcited by 2

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Abstract (arXiv)

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.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 9 of its 30 references that are in the map. First posted on arXiv 23 May 2024.

Builds on

9 of 30 references.

References · 9

  1. 2017Computing Nonvacuous Generalization Bounds for Deep (Stochastic) Neural Networks with Many More Parameters than Training Datacited by 527
  2. 2017Non-convex learning via Stochastic Gradient Langevin Dynamics: a nonasymptotic analysiscited by 242
  3. 2021User-friendly introduction to PAC-Bayes boundscited by 234
  4. 2019A Primer on PAC-Bayesian Learningcited by 130
  5. 2020Tighter risk certificates for neural networkscited by 112
  6. 2017Entropy-SGD optimizes the prior of a PAC-Bayes bound: Generalization properties of Entropy-SGD and data-dependent priorscited by 81
  7. 2020PAC-Bayes Analysis Beyond the Usual Boundscited by 63
  8. 2018PAC-Bayes bounds for stable algorithms with instance-dependent priorscited by 21
  9. 2019Distribution-Dependent Analysis of Gibbs-ERM Principlecited by 17

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Citing papers per year: 2025: 2.

2 papers.