论文标题
准平台分布（QSD）的灵敏度分析
Sensitivity analysis of quasi-stationary-distributions (QSDs)
论文作者
论文摘要
本文研究了质量进动系统针对其扩散近似的敏感性分析，尤其是对人口规模的依赖性。作为一个连续的时间马尔可夫链，可以通过有限的许多泊松过程驱动的方程来描述质量成分系统，该方程的扩散近似值可以与途径匹配。质量表演系统中噪声的大小与分子计数/种群的平方根成正比，这使得大量的质量表演系统具有准平台分布（QSD），而不是不变的概率指标。在本文中，我们修改了[8]中开发的基于耦合的技术，以估算两个QSD之间的1-wasserstein距离的上限。提供了一些人口规模不同的灵敏度的数值结果。
This paper studies the sensitivity analysis of mass-action systems against their diffusion approximations, particularly the dependence on population sizes. As a continuous time Markov chain, a mass-action system can be described by a equation driven by finite many Poisson processes, which has a diffusion approximation that can be pathwisely matched. The magnitude of noise in mass-action systems is proportional to the square root of the molecule count/population, which makes a large class of mass-action systems have quasi-stationary distributions (QSDs) instead of invariant probability measures. In this paper we modify the coupling based technique developed in [8] to estimate an upper bound of the 1-Wasserstein distance between two QSDs. Some numerical results for sensitivity with different population sizes are provided.
