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SYSTEM, METHOD AND COMPUTER READABLE MEDIUM FOR SENSITIVITY OF DYNAMICAL SYSTEMS TO INTERACTION NETWORK TOPOLOGY

机译:系统,方法和计算机可读介质,用于动力系统对交互网络拓扑的敏感性

摘要

Embodiments disclose a system for determining a sensitivity of a networked system. The system identifies a vertex (V) that represents a constituent and a state of the constituent, and an interaction (E) between at least two Vs. An interaction-dependent function provides a probability that, when a perturbation occurs, a V will be in a certain state given that it is currently in a determined state and its neighbors are currently in determined states. A network reliability is used to determine a probability that a V's state holds when a perturbation occurs. The system evaluates only a certain amount of terms in a Taylor series from a sample, and identifies interpolating polynomials between the Taylor series. A cost function optimizes a property of the networked system for a fixed cost. The system perturbs the networked system until reliability is zero to estimate a sensitivity of the networked system.
机译:实施例公开了一种用于确定网络系统的灵敏度的系统。 该系统识别表示组成的顶点(V),以及至少两个与至少两个之间的相互作用(e)。 相互作用的函数提供概率,当发生扰动时,v将处于某个状态,给定它当前处于确定的状态,其邻居当前处于确定状态。 网络可靠性用于确定当发生扰动时V的状态保持的概率。 该系统在来自样品的泰勒序列中仅评估一定量的术语,并识别泰勒序列之间的内插多项式。 成本函数优化了网络系统的属性以获得固定成本。 系统扰乱了网络系统,直到可靠性为零以估计网络系统的灵敏度。

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