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arXiv · 2405.15294

Semi-Supervised Learning guided by the Generalized Bayes Rule under Soft Revision

Stefan Dietrich·Julian Rodemann·Christoph Jansen
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Abstract

We provide a theoretical and computational investigation of the Gamma-Maximin method with soft revision, which was recently proposed as a robust criterion for pseudo-label selection (PLS) in semi-supervised learning. Opposed to traditional methods for PLS we use credal sets of priors ("generalized Bayes") to represent the epistemic modeling uncertainty. These latter are then updated by the Gamma-Maximin method with soft revision. We eventually select pseudo-labeled data that are most likely in light of the least favorable distribution from the so updated credal set. We formalize the task of finding optimal pseudo-labeled data w.r.t. the Gamma-Maximin method with soft revision as an optimization problem. A concrete implementation for the class of logistic models then allows us to compare the predictive power of the method with competing approaches. It is observed that the Gamma-Maximin method with soft revision can achieve very promising results, especially when the proportion of labeled data is low.

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Stefan Dietrich, Julian Rodemann, Christoph Jansen. 2024-05-24. Semi-Supervised Learning guided by the Generalized Bayes Rule under Soft Revision. https://arxiv.org/abs/2405.15294

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