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PACVB (version 1.1.1)

PACVB-package: Variational Bayes (VB) Approximation of Gibbs Posteriors with Hinge Losses

Description

The package computes a Gaussian approximation of a Gibbs posterior for convexified risks. We use a hinge loss, and a hinge variation of the AUC loss. The implementation follows the lines of Alquier et al. [2015]. The authors obtain PAC-Bayesian bounds for the variational approximation of an exponential weighted average estimator. The optimal bound is obtain through a gradient descent on a convex objective.

Arguments

Details

Package:
PACVB
Type:
Package
Version:
1.0
Date:
2015-07-29
License:
GPL (>= 2)

References

Alquier, P., Ridgway, J., and Chopin, N. On the properties of variational approximations of Gibbs posteriors. arXiv preprint, 2015