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Exploring behaviors of SDE models of biological systems using change of measures

机译:探讨使用措施改变生物系统SDE模型的行为

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We introduce a method for solving the following problem: given a Stochastic Differential Equation (SDE) model describing the dynamics of a biological system, algorithmically decide whether the model satisfies a given high-level behavioral specification. Our proposed solution uses a combination of Bayesian statistical hypothesis testing, Girsanov's theorem for change of measures, and independent but non-identically distributed (i.i.d.) sampling algorithms. Our use of non-i.i.d. sampling contributes to the state of the art in statistical verification of stochastic systems by providing an effective means for exposing rare events, while retaining the ability to compute bounds on the probability that those events occur.
机译:我们介绍一种解决以下问题的方法:给定描述生物系统动态的随机微分方程(SDE)模型,算法决定该模型是否满足给定的高级行为规范。我们所提出的解决方案采用贝叶斯统计假设检测的组合,Girsanov的定理,用于改变措施,以及独立但非相同分布的(I.I.D.)采样算法。我们使用非I.I.D。通过提供用于暴露稀有事件的有效手段,对随机系统的统计验证有助于统计验证的采样,同时保留在发生这些事件发生的概率上计算界限的能力。

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