论文标题

定量的heorm和多元伯努利分布

A quantitative Heppes Theorem and multivariate Bernoulli distributions

论文作者

Fraiman, Ricardo, Moreno, Leonardo, Ransford, Thomas

论文摘要

使用HEPPES定理的一些扩展在有限支持的离散概率度量上,我们根据预测解决了分类和测试问题。特别是,当预先知道分布的支持(例如,用于多元伯努利分布)时,单个适当选择的投影确定了分布。考虑了这些结果的几种应用。

Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testing based on projections. In particular, when the support of the distributions is known in advance (as for instance for multivariate Bernoulli distributions), a single suitably chosen projection determines the distribution. Several applications of these results are considered.

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