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A Primer on PAC-Bayesian Learning
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Generalised Bayesian learning algorithms are increasingly popular in machine learning, due to their PAC generalisation properties and flexibility. The present paper aims at providing a self-contained survey on the resulting PAC-Bayes framework and some of its main theoretical and algorithmic developments.
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Cited by 8 Pith papers
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Fast-rate PAC-Bayes Generalization Bounds via Shifted Rademacher Processes
The paper proves a new fast-rate PAC-Bayes generalization bound controlled by the empirical flatness of the posterior, using shifted Rademacher processes.
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Convergence Rates of Variational Inference in Sparse Deep Learning
Variational inference for sparse deep ReLU networks achieves near-minimax rates for Hölder regression functions, matching exact Bayesian inference.
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A Generalized-Bayes Perspective on Counterfactual Explanations: Posterior-Based Decision-Making and Evaluation
Counterfactual explanation by distance minimization is re-derived as MAP inference in a generalized Bayes posterior, and additional posterior-based decision rules are proposed and evaluated.
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Position: There Is No Free Bayesian Uncertainty Quantification
Bayesian updating is reframed as an optimization problem without inherent uncertainty quantification, and a PAC-style calibration step is proposed to give predictive intervals frequentist coverage.
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