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Inferring Causality from Time Series data based on Structural Causal Model and its application to Neural Connectomics

基于结构因果模型的时间序列因果推断及其神经连接组应用

Inferring causation from time series data is of scientific interest in different disciplines, particularly in neural connectomics. While different approaches exist in the literature with parametric modeling assumptions, we focus on a non-parametric model for time series satisfying a Markovian structural causal model with stationary distribution and without concurrent effects. We show that the model structure can be used to its advantage to obtain an elegant algorithm for…

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Consistent Causal Inference from Time Series with PC Algorithm and its Time-Aware Extension

时间序列中 PC 算法及其时间感知扩展的一致性因果推断

The estimator of a causal directed acyclic graph (DAG) with the PC algorithm is known to be consistent based on independent and identically distributed samples. In this paper, we consider the scenario when the multivariate samples are identically distributed but not independent. A common example is a stationary multivariate time series. We show that under a standard set of assumptions on the underlying time series involving $ρ$-mixing, the PC algorithm is consistent in this…

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