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STRUCTURALLY DETERMINED INEQUALITY CONSTRAINTS ON CORRELATIONS IN THE CYCLE OF LINEAR DEPENDENCIES

机译:结构确定的不等式约束线性依赖循环中的相关性

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摘要

Several simple inequality constraints on correlations in a rhombus-like causal model (structured as a cycle with one collider) are formulated and proved. These constraints follow from the linearity and Markov properties of the model. The presented inequalities are specific to the basic model and are incorrect for alternative models that differ in Markov properties due to the presence of an additional edge (connection). The plausibility of the violation of these inequalities in alternative models is evaluated by stochastic simulation. It is shown that the presented inequalities are useful for model verification under partial observability.
机译:拟定并证明了菱形因果模型中的几个简单的不等式约束相关性(构造为具有一个对撞机的周期)。这些约束来自模型的线性和马尔可夫性质。呈现的不等式特定于基本模型,对于由于存在附加边(连接)而导致马尔可夫性质不同的替代模型不正确。通过随机模拟评估替代模型中违反这些不等式的合理性。结果表明,所提出的不等式对于部分可观察性下的模型验证是有用的。

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