Optimal Dimension-Free Sampling for Regularized Classification
Researchers have established tight sampling complexity bounds for regularized classification across major loss functions including logistic, hinge, and ReLU variants. The work proves that L2 regularization requires k^2/epsilon^2 samples while L1 achieves k/epsilon^2, with L2-squared regularization potentially dropping to linear complexity under specific derivative constraints. These dimension-free results matter for practitioners scaling classifiers on high-dimensional data, offering theoretical guarantees that inform both algorithm design and computational budgeting in production ML systems.52
























