PAC-Bayes under potentially heavy tails

Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables

Abramowitz, M. and Stegun, I. A. (1964) · 1964

Earlier work this paper cites.

A theory of the learnable

Original

Valiant, L. G. (1984) · 1984

Earlier work this paper cites.

A framework for structural risk minimisation

Shawe-Taylor, J., Bartlett, P. L., Williamson, R. C., and Anthony, M. (1996) · 1996

Earlier work this paper cites.

Some PAC-Bayesian theorems

McAllester, D. A. (1999) · 1999

Earlier work this paper cites.

Probability and Measure Theory

Ash, R. B. and Doleans-Dade, C. (2000) · 2000

Earlier work this paper cites.

Statistical learning theory and stochastic optimization: Ecole d’Eté de Probabilités de Saint-Flour XXXI-2001

Catoni, O. (2004) · 2001

Earlier work this paper cites.

PAC-Bayesian generalisation error bounds for Gaussian process classification

Seeger, M. (2002) · 2002

Earlier work this paper cites.

PAC-Bayesian stochastic model selection

McAllester, D. A. (2003) · 2003

Cited alongside, same era.

A note on the PAC Bayesian theorem

Maurer, A. (2004) · 2004

Cited alongside, same era.

Pac-Bayesian Supervised Classification: The Thermodynamics of Statistical Learning

Catoni, O. (2007) · 2007

Cited alongside, same era.

Challenging the empirical mean and empirical variance: a deviation study

Catoni, O. (2012) · 2012

Cited alongside, same era.

PAC-Bayesian inequalities for martingales

Seldin, Y., Laviolette, F., Cesa-Bianchi, N., Shawe-Taylor, J., and Auer, P. (2012) · 2012

Cited alongside, same era.

Concentration inequalities: a nonasymptotic theory of independence

Boucheron, S., Lugosi, G., and Massart, P. (2013) · 2013

Cited alongside, same era.

PAC-Bayes-Empirical-Bernstein inequality

Tolstikhin, I. and Seldin, Y. (2013) · 2013

Later among the works it cites.

On the properties of variational approximations of Gibbs posteriors

Alquier, P., Ridgway, J., and Chopin, N. (2016) · 2016

Later among the works it cites.

PAC-Bayesian bounds based on the Rényi divergence

Bégin, L., Germain, P., Laviolette, F., and Roy, J.-F. (2016) · 2016

Later among the works it cites.

Sub-gaussian mean estimators

Devroye, L., Lerasle, M., Lugosi, G., and Oliveira, R. I. (2016) · 2016

Later among the works it cites.

PAC-Bayesian theory meets Bayesian Inference

Germain, P., Bach, F., Lacoste, A., and Lacoste-Julien, S. (2016) · 2016

Later among the works it cites.

Dimension-free PAC-Bayesian bounds for matrices, vectors, and linear least squares regression

Original

Catoni, O. and Giulini, I. (2017) · 2017