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We test recent claims that causal (driver/response) relationships can be deduced from interdependencies between simultaneously measured time series. We apply two recently proposed interdependence measures which should give similar results…

chao-dyn · Physics 2009-10-31 R. Quian Quiroga , J. Arnhold , P. Grassberger

We present a sample path dependent measure of causal influence between two time series. The proposed measure is a random variable whose expected sum is the directed information. A realization of the proposed measure may be used to identify…

Information Theory · Computer Science 2018-10-15 Gabriel Schamberg , Todd P. Coleman

We present a constraint-based algorithm for learning causal structures from observational time-series data, in the presence of latent confounders. We assume a discrete-time, stationary structural vector autoregressive process, with both…

Artificial Intelligence · Computer Science 2023-06-02 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

Granger causality is popular for analyzing time series data in many applications from natural science to social science including genomics, neuroscience, economics, and finance. Consequently, the Granger causality test has become one of the…

Methodology · Statistics 2025-10-16 Yongchang Hui , Chijin Liu , Xiaojun Song

Causal discovery (CD) from time-varying data is important in neuroscience, medicine, and machine learning. Techniques for CD encompass randomized experiments, which are generally unbiased but expensive, and algorithms such as Granger…

Machine Learning · Computer Science 2023-10-11 Xinyue Wang , Konrad Paul Kording

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

We consider the problem of learning models for forecasting multiple time-series systems together with discovering the leading indicators that serve as good predictors for the system. We model the systems by linear vector autoregressive…

Machine Learning · Computer Science 2016-11-03 Magda Gregorova , Alexandros Kalousis , Stéphane Marchand-Maillet

With the advancement of deep learning technologies, various neural network-based Granger causality models have been proposed. Although these models have demonstrated notable improvements, several limitations remain. Most existing approaches…

Machine Learning · Computer Science 2025-10-28 Meiliang Liu , Huiwen Dong , Xiaoxiao Yang , Yunfang Xu , Zijin Li , Zhengye Si , Xinyue Yang , Zhiwen Zhao

Extracting causal connections can advance interpretable AI and machine learning. Granger causality (GC) is a robust statistical method for estimating directed influences (DC) between signals. While GC has been widely applied to analysing…

Neurons and Cognition · Quantitative Biology 2024-08-06 Abdoreza Asadpour , KongFatt Wong-Lin

In this work, we formalize the problem of causal inference over graph-based relational time-series data where each node in the graph has one or more time-series associated to it. We propose causal inference models for this problem that…

Machine Learning · Computer Science 2020-01-27 Ryan Rossi , Somdeb Sarkhel , Nesreen Ahmed

Four different Granger causality-based methods - one linear and three nonlinear (Granger Causality, Kernel Granger Causality, large-scale Nonlinear Granger Causality, and Neural Network Granger Causality) were used for assessment and…

Quantitative Methods · Quantitative Biology 2022-08-09 Maciej Rosoł , Jakub S. Gąsior , Iwona Walecka , Bożena Werner , Gerard Cybulski , Marcel Młyńczak

In prior work we have introduced an asymptotic threshold of sufficient randomness for causal inference from observational data. In this paper we extend that prior work in three main ways. First, we show how to empirically estimate a lower…

Methodology · Statistics 2023-09-07 Brian Knaeble , Braxton Osting , Placede Tshiaba

Causal discovery in time-series is a fundamental problem in the machine learning community, enabling causal reasoning and decision-making in complex scenarios. Recently, researchers successfully discover causality by combining neural…

Machine Learning · Computer Science 2023-08-17 Yuxiao Cheng , Lianglong Li , Tingxiong Xiao , Zongren Li , Qin Zhong , Jinli Suo , Kunlun He

Granger Causality (GC) offers an elegant statistical framework to study the association between multivariate time series data. Vector autoregressive models (VAR) are simple and easy to fit, but have limited application because of their…

Machine Learning · Computer Science 2025-12-09 Malik Shahid Sultan , Hernando Ombao , Maurizio Filippone

This paper proposes novel inferential procedures for discovering the network Granger causality in high-dimensional vector autoregressive models. In particular, we mainly offer two multiple testing procedures designed to control the false…

Methodology · Statistics 2024-11-14 Yoshimasa Uematsu , Takashi Yamagata

Causal inference is a fundamental research topic for discovering the cause-effect relationships in many disciplines. However, not all algorithms are equally well-suited for a given dataset. For instance, some approaches may only be able to…

Machine Learning · Computer Science 2024-03-11 Zhipeng Ma , Marco Kemmerling , Daniel Buschmann , Chrismarie Enslin , Daniel Lütticke , Robert H. Schmitt

Causality is crucial to understanding the mechanisms behind complex systems and making decisions that lead to intended outcomes. Event sequence data is widely collected from many real-world processes, such as electronic health records, web…

Artificial Intelligence · Computer Science 2020-11-20 Zhuochen Jin , Shunan Guo , Nan Chen , Daniel Weiskopf , David Gotz , Nan Cao

We perform time series analysis of small networks where every node is the slow-fast version of the denatured Morris--Lecar neuron proposed by Schaeffer and Cain. We choose popular coupling strategies from the literature and provide a…

Chaotic Dynamics · Physics 2025-07-21 Indranil Ghosh , Hammed O. Fatoyinbo , Sishu S. Muni

Modern health care systems are conducting continuous, automated surveillance of the electronic medical record (EMR) to identify adverse events with increasing frequency; however, many events such as sepsis do not have elucidated prodromes…

Applications · Statistics 2023-05-24 Song Wei , Yao Xie , Christopher S. Josef , Rishikesan Kamaleswaran

Granger causality (GC), a popular statistical method for the inference of directional influences between time series measured from a complex network, is sensitive to high-order (non-pairwise) interactions which fundamentally shape the…

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