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PAC-Bayes bounds have been proposed to get risk estimates based on a training sample.
On the posterior-probability estimate of the error rate of nonparametric classification rules
Gábor Lugosi and Miroslaw Pawlak · 1994
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Gaussian Measures
Vladimir I. Bogachev · 1998
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Self bounding learning algorithms
Yoav Freund · 1998
Earlier work this paper cites.
Fast training of support vector machines using sequential minimal optimization
John C. Platt · 1999
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Stability and generalisation
Olivier Bousquet and André Elisseeff · 2002
Earlier work this paper cites.
Microchoice bounds and self bounding learning algorithms
John Langford and Avrim Blum · 2003
Earlier work this paper cites.
Kernel Methods for Pattern Analysis
John Shawe-Taylor and Nello Cristianini · 2004
Earlier work this paper cites.
Semi-supervised classification by low density separation
Olivier Chapelle and Alexander Zien · 2005
Earlier work this paper cites.
Tutorial on practical prediction theory for classification
John Langford · 2005
Cited alongside, same era.
PAC-Bayesian supervised classification: the thermodynamics of statistical learning
Olivier Catoni · 2007
Cited alongside, same era.
Ingo Steinwart and Andreas Christmann · 2008
Cited alongside, same era.
PAC-Bayesian learning of linear classifiers
Pascal Germain, Alexandre Lacasse, François Laviolette, and Mario Marchand · 2009
Cited alongside, same era.
Distribution-dependent PAC-Bayes priors
Guy Lever, François Laviolette, and John Shawe-Taylor · 2010
Cited alongside, same era.
PAC-Bayes bounds with data dependent priors
Emilio Parrado-Hernández, Amiran Ambroladze, John Shawe-Taylor, and Shiliang Sun · 2012
Concentration in unbounded metric spaces and algorithmic stability
Aryeh Kontorovich · 2014
Later among the works it cites.
Risk bounds for the majority vote: From a PAC-Bayesian analysis to a learning algorithm
Pascal Germain, Alexandre Lacasse, Francois Laviolette, Mario Marchand, and Jean-Francis Roy · 2015
Later among the works it cites.
Stability revisited: new generalisation bounds for the leave-one-out
Alain Celisse and Benjamin Guedj · 2016
Later among the works it cites.
An a priori exponential tail bound for k-folds cross-validation
Karim Abou-Moustafa and Csaba Szepesvari · 2017
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Gintare Karolina Dziugaite and Daniel M Roy · 2017
Later among the works it cites.
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Cited alongside, same era.
Collective stability in structured prediction: Generalization from one example
Ben London, Bert Huang, Ben Taskar, and Lise Getoor · 2013
Cited alongside, same era.
Algorithmic stability and hypothesis complexity
Tongliang Liu, Gábor Lugosi, Gergely Neu, and Dacheng Tao · 2017
Later among the works it cites.
A PAC-Bayesian analysis of randomized learning with application to stochastic gradient descent
Ben London · 2017
Later among the works it cites.