使用拼接从施特劳斯过程生成
Generating from the Strauss Process using stitching
摘要:
斯特劳斯过程是相对于泊松点过程具有非标准化密度的点过程,其中彼此在指定距离$r$内的每对点对密度贡献因子$λ\in (0, 1)$。基本的接受拒绝对于这个问题的效果非常差,这就是为什么已经开发了其他几种完美的模拟方法。然而,这些方法对于相当大的$λ$值也效果不佳。*Acceptance Rejection Stitching* 是一种工作速度更快的新方法,允许模拟$λ$值比以往大得多的点过程。
英文摘要:
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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