PAC-Bayes Mini-tutorial: A Continuous Union Bound

7 May 2014  ·  Tim van Erven ·

When I first encountered PAC-Bayesian concentration inequalities they seemed to me to be rather disconnected from good old-fashioned results like Hoeffding's and Bernstein's inequalities. But, at least for one flavour of the PAC-Bayesian bounds, there is actually a very close relation, and the main innovation is a continuous version of the union bound, along with some ingenious applications... Here's the gist of what's going on, presented from a machine learning perspective. read more

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