Uniform convergence for halfspaces is dimension- and structure-dependent: VC rates are tight except for homogeneous halfspaces in R^2, where realizable error is O(1/n) and agnostic deviation incurs only a ln ln n factor.
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A Fine-Grained Understanding of Uniform Convergence for Halfspaces
Uniform convergence for halfspaces is dimension- and structure-dependent: VC rates are tight except for homogeneous halfspaces in R^2, where realizable error is O(1/n) and agnostic deviation incurs only a ln ln n factor.