论文标题

使用缝线从Strauss过程产生

Generating from the Strauss Process using stitching

论文作者

Huber, Mark

论文摘要

Strauss过程是一个相对于泊松点过程的点过程,其密度不均衡,在彼此的指定距离$ r $中,每对点对密度贡献了$λ\ in(0,1)$。对于这个问题,基本的接受拒绝的效果很大,这就是为什么开发了其他几种完美的模拟方法的原因。但是,对于合理的$λ$值,这些方法的工作也很差。 *接受拒绝缝线*是一种新方法,可以更快地起作用,可以模拟$λ$的点过程,比以往任何时候都大得多。

The STrauss process is a point process with unnormalized density with respect to a Poisson point process, where each pair of points within a specified distance $r$ of each other contributes a factor $λ\in (0, 1)$ to the density. Basic Acceptance Rejection works spectacularly poorly for this problem, which is why several other perfect simulation methods have been developed. these methods, however, also work poorly for reasonably large values of $λ$. *Acceptance Rejection Stitching* is a new method that works much faster, allowing the simulation of point processes with values of $λ$ much larger than ever before.

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