用概率分治和递归方法改进精确玻尔兹曼抽样
Improvements to exact Boltzmann sampling using probabilistic divide-and-conquer and the recursive method
摘要:
我们证明了一种方法,某些离散的组合分布,这是一个混合的精确玻尔兹曼采样和递归方法,使用概率分而治之(PDC)的精确采样。该方法专门精确玻尔兹曼采样在平凡的设置,并专门PDC确定性的第二半在第一个非平凡的应用程序。一个大类的例子,这种方法广泛适用,并明确制定了几个例子。
英文摘要:
We demonstrate an approach for exact sampling of certain discrete combinatorial distributions, which is a hybrid of exact Boltzmann sampling and the recursive method, using probabilistic divide-and-conquer (PDC). The approach specializes to exact Boltzmann sampling in the trivial setting, and specializes to PDC deterministic second half in the first non-trivial application. A large class of examples is given for which this method broadly applies, and several examples are worked out explicitly.
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