Self-Bounding Majority Vote Learning Algorithms by the Direct Minimization of a Tight PAC-Bayesian C-Bound

• URL: http://arxiv.org/abs/2104.13626v1
• Date: Wed, 28 Apr 2021 08:23:18 GMT
• Title: Self-Bounding Majority Vote Learning Algorithms by the Direct Minimization of a Tight PAC-Bayesian C-Bound
• Authors: Paul Viallard (LHC), Pascal Germain (ULaval), Amaury Habrard (LHC), Emilie Morvant (LHC)
• Abstract summary: We derive self-bounding majority vote learning algorithms based on PAC-Bayesian guarantees on the C-Bound. Our algorithms are scalable and lead to accurate predictors paired with non-vacuous guarantees.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In the PAC-Bayesian literature, the C-Bound refers to an insightful relation between the risk of a majority vote classifier (under the zero-one loss) and the first two moments of its margin (i.e., the expected margin and the voters' diversity). Until now, learning algorithms developed in this framework minimize the empirical version of the C-Bound, instead of explicit PAC-Bayesian generalization bounds. In this paper, by directly optimizing PAC-Bayesian guarantees on the C-Bound, we derive self-bounding majority vote learning algorithms. Moreover, our algorithms based on gradient descent are scalable and lead to accurate predictors paired with non-vacuous guarantees.

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