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New PAC-Bayes Derandomization Method Leverages Smoothness for Predictor Bounds

Researchers have developed a new method for derandomizing PAC-Bayes generalization bounds, specifically for smooth loss functions. This approach aims to provide high-probability bounds for deterministic predictors by leveraging the smoothness properties of both the loss function and the predictor class. The framework allows for the control of generalization gaps using quantities derived from parameter Jacobians and Hessians, with applications to linear predictors and neural networks. A practical regularizer is also proposed, inspired by these theoretical quantities, and its behavior is demonstrated on the CIFAR-10 dataset using BatchNorm networks. AI

IMPACT This research could lead to more robust generalization bounds for machine learning models, potentially improving their reliability in real-world applications.

RANK_REASON The item is an academic paper detailing a new theoretical framework and method for PAC-Bayes derandomization. [lever_c_demoted from research: ic=1 ai=1.0]

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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Philippe Giguère ·

    Smoothness-Based Derandomization of PAC-Bayes Bounds

    We study PAC-Bayes derandomization for smooth loss functions. Our goal is to obtain generalization bounds that hold with high probability for deterministic predictors by exploiting smoothness properties of both the loss and the predictor class. We show that passing from the Gibbs…