Rademacher Complexity Margin Bounds for Learning with a Large Number of Classes

This paper presents improved Rademacher complexity margin bounds that scale linearly with the number of classes as opposed to the quadratic dependence of existing Rademacher complexity margin-based learning guarantees. We further use this result to prove a novel generalization bound for multi-class classifier ensembles that depends only on the Rademacher complexity of the hypothesis classes to which the classifiers in the ensemble belong.