We present a simple geometrical interpretation for the solution to the multiple hypothesis testing problem in the asymptotic limit. Under this interpretation, the optimal decision rule is a nearest neighbor classifier on the probability simplex.

中文翻译：

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多重假设检验的渐近几何

我们提出了一个简单的几何解释来解决渐近极限下的多重假设检验问题。根据这种解释，最优决策规则是概率单纯形上的最近邻分类器。