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It becomes increasingly popular to perform mediation analysis for complex data from sophisticated experimental studies. In this paper, we present Granger Mediation Analysis (GMA), a new framework for causal mediation analysis of multiple…

Methodology · Statistics 2017-09-18 Yi Zhao , Xi Luo

Granger causality is well established within the neurosciences for inference of directed functional connectivity from neurophysiological data. These data usually consist of time series which subsample a continuous-time biophysiological…

Applications · Statistics 2016-09-08 Lionel Barnett , Anil K. Seth

Granger causality and variants of this concept allow the study of complex dynamical systems as networks constructed from multivariate time series. In this work, a large number of Granger causality measures used to form causality networks…

Computation · Statistics 2020-01-08 Elsa Siggiridou , Christos Koutlis , Alkiviadis Tsimpiris , Dimitris Kugiumtzis

The causal relationships between biomarkers are essential for disease diagnosis and medical treatment planning. One notable application is Alzheimer's disease (AD) diagnosis, where certain biomarkers may influence the presence of others,…

Information Retrieval · Computer Science 2025-06-13 Xiaofan Zhou , Liangjie Huang , Pinyang Cheng , Wenpen Yin , Rui Zhang , Wenrui Hao , Lu Cheng

Retrieval augmented generation (RAG) has enhanced large language models by enabling access to external knowledge, with graph-based RAG emerging as a powerful paradigm for structured retrieval and reasoning. However, existing graph-based…

Artificial Intelligence · Computer Science 2026-02-06 Nengbo Wang , Tuo Liang , Vikash Singh , Chaoda Song , Van Yang , Yu Yin , Jing Ma , Jagdip Singh , Vipin Chaudhary

Granger causal modeling is an emerging topic that can uncover Granger causal relationship behind multivariate time series data. In many real-world systems, it is common to encounter a large amount of multivariate time series data collected…

Machine Learning · Computer Science 2021-02-11 Yunfei Chu , Xiaowei Wang , Jianxin Ma , Kunyang Jia , Jingren Zhou , Hongxia Yang

Granger causality has been used for the investigation of the inter-dependence structure of the underlying systems of multi-variate time series. In particular, the direct causal effects are commonly estimated by the conditional Granger…

Methodology · Statistics 2016-04-20 Elsa Siggiridou , Dimitris Kugiumtzis

Granger causality, commonly used for inferring causal structures from time series data, has been adopted in widespread applications across various fields due to its intuitive explainability and high compatibility with emerging deep neural…

Machine Learning · Computer Science 2024-06-18 Ziyi Zhang , Shaogang Ren , Xiaoning Qian , Nick Duffield

Multivariate time series anomaly detection has numerous real-world applications and is being extensively studied. Modeling pairwise correlations between variables is crucial. Existing methods employ learnable graph structures and graph…

Machine Learning · Computer Science 2025-01-24 Zehao Liu , Mengzhou Gao , Pengfei Jiao

When a dynamical system can be modeled as a sequence of observations, Granger causality is a powerful approach for detecting predictive interactions between its variables. However, traditional Granger causal inference has limited utility in…

Machine Learning · Computer Science 2022-10-20 Rohit Singh , Alexander P. Wu , Bonnie Berger

Objective: This study proposes a new parametric TF (time frequency) CGC (conditional Granger causality) method for high precision connectivity analysis over time and frequency in multivariate coupling nonstationary systems, and applies it…

Signal Processing · Electrical Eng. & Systems 2018-10-23 Yang Li , Mengying Lei , Weigang Cui , Yuzhu Guo , Hua-Liang Wei

Granger-Geweke causality (GGC) is a powerful and popular method for identifying directed functional (`causal') connectivity in neuroscience. In a recent paper, Stokes and Purdon [1] raise several concerns about its use. They make two…

Methodology · Statistics 2018-02-07 Lionel Barnett , Adam B. Barrett , Anil K. Seth

Large Language Models (LLMs) have advanced artificial intelligence by enabling human-like text generation and natural language understanding. However, their reliance on static training data limits their ability to respond to dynamic,…

Artificial Intelligence · Computer Science 2026-04-02 Aditi Singh , Abul Ehtesham , Saket Kumar , Tala Talaei Khoei , Athanasios V. Vasilakos

Granger causal inference is a contentious but widespread method used in fields ranging from economics to neuroscience. The original definition addresses the notion of causality in time series by establishing functional dependence…

Methodology · Statistics 2023-09-19 Noah D. Gade , Jordan Rodu

Cross-slice attack attribution in 6G networks faces the fundamental challenge of distinguishing genuine causal relationships from spurious correlations in shared infrastructure environments. We propose a theoretically-grounded…

Cryptography and Security · Computer Science 2025-10-08 Minh K. Quan , Pubudu N. Pathirana

We propose the Granger causality inference Kolmogorov-Arnold Networks (KANGCI), a novel architecture that extends the recently proposed Kolmogorov-Arnold Networks (KAN) to the domain of causal inference. By extracting base weights from KAN…

Machine Learning · Computer Science 2025-02-06 Meiliang Liu , Yunfang Xu , Zijin Li , Zhengye Si , Xiaoxiao Yang , Xinyue Yang , Zhiwen Zhao

This paper considers joint learning of multiple sparse Granger graphical models to discover underlying common and differential Granger causality (GC) structures across multiple time series. This can be applied to drawing group-level brain…

Machine Learning · Computer Science 2021-05-25 Parinthorn Manomaisaowapak , Jitkomut Songsiri

Effective connectivity can describe the causal patterns among brain regions. These patterns have the potential to reveal the pathological mechanism and promote early diagnosis and effective drug development for cognitive disease. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Qiankun Zuo , Hao Tian , Chi-Man Pun , Hongfei Wang , Yudong Zhang , Jin Hong

Reliable end-to-end clinical report generation has been a longstanding goal of medical ML research. The end goal for this process is to alleviate radiologists' workloads and provide second opinions to clinicians or patients. Thus, a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Frederic Jonske , Constantin Seibold , Osman Alperen Koras , Fin Bahnsen , Marie Bauer , Amin Dada , Hamza Kalisch , Anton Schily , Jens Kleesiek

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