Nonparametric estimation of information causality between analog narrowband signals

Simona Poilinca, G. Abreu
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Abstract

In this paper we address the dimensionality problem regarding information causality estimation and propose a new method to approximate directed information by identifying and eliminating superfluous calculations. Using only the most informational components we reduce conditional mutual information terms while capturing all the instantaneous or lagged dependencies between stochastic signals. Our method is tested on simulated analog narrowband signals with varying causal relationships.
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窄带模拟信号间信息因果关系的非参数估计
本文解决了信息因果估计的维数问题,提出了一种通过识别和消除多余计算来近似有向信息的新方法。仅使用信息量最大的组件,我们减少了条件互信息项,同时捕获了随机信号之间的所有瞬时或滞后依赖。我们的方法在具有不同因果关系的模拟窄带信号上进行了测试。
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