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Survey paper organizes research on deep learning generalization bounds

This survey paper organizes recent research on data-dependent worst-case generalization bounds for deep neural networks. It explores how these bounds can be refined by considering the specific parts of the parameter space an algorithm actually visits, moving beyond classical uniform convergence theory. The paper unifies contributions related to PAC-Bayesian theory, complexity terms using geometric and topological descriptors, and stability assumptions, presenting them within a single template inequality. AI

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IMPACT Provides a theoretical framework for understanding why overparameterized deep learning models generalize, potentially guiding future model development.

RANK_REASON The cluster contains a survey paper on a theoretical aspect of machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

COVERAGE [1]

  1. arXiv stat.ML TIER_1 · Julien Roger ·

    A Survey on Data-Dependent Worst-Case Generalization Bounds

    Deep neural networks generalize well despite being heavily overparameterized, in apparent contradiction with classical learning theory based on uniform convergence over fixed hypothesis spaces. Uniform bounds over the entire parameter space are vacuous in this regime, and recent …