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PAC-Bayes bounds for Gibbs posteriors derived using singular learning theory

Researchers have developed new PAC-Bayes generalization bounds specifically for Gibbs posteriors, which are distributions over model parameters derived from empirical risk. This novel approach utilizes singular learning theory to analyze the bounds, offering more precise guarantees for complex, overparameterized models. The method has shown promising results in applications like matrix completion and neural network regression, yielding tighter bounds than traditional complexity-based methods. AI

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RANK_REASON Academic paper on PAC-Bayes generalization bounds for Gibbs posteriors.

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PAC-Bayes bounds for Gibbs posteriors derived using singular learning theory

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  1. arXiv stat.ML TIER_1 · Yun Yang ·

    PAC-Bayes Bounds for Gibbs Posteriors via Singular Learning Theory

    We derive explicit non-asymptotic PAC-Bayes generalization bounds for Gibbs posteriors, that is, data-dependent distributions over model parameters obtained by exponentially tilting a prior with the empirical risk. Unlike classical worst-case complexity bounds based on uniform la…