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arXiv · 1606.00922

Localization of VC Classes: Beyond Local Rademacher Complexities

Nikita Zhivotovskiy·Steve Hanneke
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Abstract

In this paper we introduce an alternative localization approach for binary classification that leads to a novel complexity measure: fixed points of the local empirical entropy. We show that this complexity measure gives a tight control over complexity in the upper bounds. Our results are accompanied by a novel minimax lower bound that involves the same quantity. In particular, we practically answer the question of optimality of ERM under bounded noise for general VC classes.

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Nikita Zhivotovskiy, Steve Hanneke. 2016-06-02. Localization of VC Classes: Beyond Local Rademacher Complexities. https://arxiv.org/abs/1606.00922

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