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We propose a new PAC-Bayesian bound and a way of constructing a hypothesis space, so that the bound is convex in the posterior distribution and also convex in a trade-off parameter between empirical performance of the posterior distribution and its complexity.
Asymptotic evaluation of certain Markov process expectations for large time
Monroe D. Donsker and S.R. Srinivasa Varadhan · 1975
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Leslie G. Valiant · 1984
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A measure concentration inequality for contracting Markov chains Erratum
Katalin Marton · 1997
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Pac-bayesian approach for minimization of phoneme error rate
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PAC-Bayesian inequalities for martingales
Yevgeny Seldin, François Laviolette, Nicolò Cesa-Bianchi, John Shawe-Taylor, and Peter Auer · 2012
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Stéphane Boucheron, Gábor Lugosi, and Pascal Massart · 2013
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PAC-Bayes-Empirical-Bernstein inequality
Ilya Tolstikhin and Yevgeny Seldin · 2013
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UCI machine learning repository, 2007
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Niklas Thiemann · 2016
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