论文标题
使用一般随机合奏的同构dvoretzky-milman定理
An isomorphic Dvoretzky-Milman Theorem using general random ensembles
论文作者
论文摘要
我们构建相当普遍的随机集合,以在Dvoretzky-Milman定理中产生最佳(同构)估计值。这是表现出最佳行为的非高斯/球形集合的第一个结构。在这里构建的合奏不必满足任何旋转不变性,并且可以相当重。
We construct rather general random ensembles that yield the optimal (isomorphic) estimate in the Dvoretzky-Milman Theorem. This is the first construction of non gaussian/spherical ensembles that exhibit the optimal behaviour. The ensembles constructed here need not satisfy any rotation invariance and can be rather heavy-tailed.