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A unified PAC-Bayesian framework for machine unlearning via information risk minimization

Machine Learning 2021-06-02 v1 Information Theory Signal Processing math.IT

Abstract

Machine unlearning refers to mechanisms that can remove the influence of a subset of training data upon request from a trained model without incurring the cost of re-training from scratch. This paper develops a unified PAC-Bayesian framework for machine unlearning that recovers the two recent design principles - variational unlearning (Nguyen et.al., 2020) and forgetting Lagrangian (Golatkar et.al., 2020) - as information risk minimization problems (Zhang,2006). Accordingly, both criteria can be interpreted as PAC-Bayesian upper bounds on the test loss of the unlearned model that take the form of free energy metrics.

Keywords

Cite

@article{arxiv.2106.00265,
  title  = {A unified PAC-Bayesian framework for machine unlearning via information risk minimization},
  author = {Sharu Theresa Jose and Osvaldo Simeone},
  journal= {arXiv preprint arXiv:2106.00265},
  year   = {2021}
}

Comments

Under Review

R2 v1 2026-06-24T02:41:40.914Z