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Granger causality method analyzes the time series causalities without building a complex causality graph. However, the traditional Granger causality method assumes that the causalities lie between time series channels and remain constant,…

统计方法学 · 统计学 2020-06-16 Zhiheng Zhang , Wenbo Hu , Tian Tian , Jun Zhu

We present a new method for forecasting systems of multiple interrelated time series. The method learns the forecast models together with discovering leading indicators from within the system that serve as good predictors improving the…

机器学习 · 统计学 2017-10-03 Magda Gregorova , Alexandros Kalousis , Stephane Marchand-Maillet

This paper explores the potential of the transformer models for learning Granger causality in networks with complex nonlinear dynamics at every node, as in neurobiological and biophysical networks. Our study primarily focuses on a…

机器学习 · 计算机科学 2025-10-21 Ziyu Lu , Anika Tabassum , Shruti Kulkarni , Lu Mi , J. Nathan Kutz , Eric Shea-Brown , Seung-Hwan Lim

Granger causality (GC) is often considered not an actual form of causality. Still, it is arguably the most widely used method to assess the predictability of a time series from another one. Granger causality has been widely used in many…

机器学习 · 计算机科学 2023-07-21 Víctor Elvira , Émilie Chouzenoux , Jordi Cerdà , Gustau Camps-Valls

Granger causality (GC) is undoubtedly the most widely used method to infer cause-effect relations from observational time series. Several nonlinear alternatives to GC have been proposed based on kernel methods. We generalize kernel Granger…

混沌动力学 · 物理学 2020-12-10 Diego Bueso , Maria Piles , Gustau Camps-Valls

Score-based causal discovery methods can effectively identify causal relationships by evaluating candidate graphs and selecting the one with the highest score. One popular class of scores is kernel-based generalized score functions, which…

机器学习 · 计算机科学 2025-06-10 Yixin Ren , Haocheng Zhang , Yewei Xia , Hao Zhang , Jihong Guan , Shuigeng Zhou

Multivariate Hawkes processes are a widely used class of self-exciting point processes, but maximum likelihood estimation naively scales as $O(N^2)$ in the number of events. The canonical linear exponential Hawkes process admits a faster…

机器学习 · 计算机科学 2026-05-07 Ahmer Raza , Hudson Smith

I introduce a novel algorithm and accompanying Python library, named mlcausality, designed for the identification of nonlinear Granger causal relationships. This novel algorithm uses a flexible plug-in architecture that enables researchers…

机器学习 · 统计学 2023-09-13 Wojciech "Victor" Fulmyk

With the advancement of neural networks, diverse methods for neural Granger causality have emerged, which demonstrate proficiency in handling complex data, and nonlinear relationships. However, the existing framework of neural Granger…

机器学习 · 计算机科学 2024-05-15 Wanqi Zhou , Shuanghao Bai , Shujian Yu , Qibin Zhao , Badong Chen

We propose a new sparse Granger-causal learning framework for temporal event data. We focus on a specific class of point processes called the Hawkes process. We begin by pointing out that most of the existing sparse causal learning…

机器学习 · 计算机科学 2025-01-28 Tsuyoshi Idé , Georgios Kollias , Dzung T. Phan , Naoki Abe

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…

统计方法学 · 统计学 2017-09-18 Yi Zhao , Xi Luo

Clustering is an unsupervised learning technique that is useful when working with a large volume of unlabeled data. Complex dynamical systems in real life often entail data streaming from a large number of sources. Although it is desirable…

机器学习 · 计算机科学 2021-05-20 Sin Yong Tan , Homagni Saha , Margarite Jacoby , Gregor P. Henze , Soumik Sarkar

In this paper, we address the problem of fitting multivariate Hawkes processes to potentially large-scale data in a setting where series of events are not only mutually-exciting but can also exhibit inhibitive patterns. We focus on…

概率论 · 数学 2014-05-19 Remi Lemonnier , Nicolas Vayatis

Identifying the causal structure of systems with multiple dynamic elements is critical to several scientific disciplines. The conventional approach is to conduct statistical tests of causality, for example with Granger Causality, between…

机器学习 · 统计学 2022-03-22 Jacek P. Dmochowski

We aim to explicitly model the delayed Granger causal effects based on multivariate Hawkes processes. The idea is inspired by the fact that a causal event usually takes some time to exert an effect. Studying this time lag itself is of…

机器学习 · 计算机科学 2023-08-14 Chao Yang , Hengyuan Miao , Shuang Li

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…

机器学习 · 计算机科学 2025-12-09 Malik Shahid Sultan , Hernando Ombao , Maurizio Filippone

Granger causality has been employed to investigate causality relations between components of stationary multiple time series. We generalize this concept by developing statistical inference for local Granger causality for multivariate…

统计方法学 · 统计学 2025-08-12 Yan Liu , Masanobu Taniguchi , Hernando Ombao

Granger causality, a popular method for determining causal influence between stochastic processes, is most commonly estimated via linear autoregressive modeling. However, this approach has a serious drawback: if the process being modeled…

统计理论 · 数学 2016-06-29 Lionel Barnett , Anil K. Seth

There is increasing interest in identifying changes in the underlying states of brain networks. The availability of large scale neuroimaging data creates a strong need to develop fast, scalable methods for detecting and localizing in time…

统计方法学 · 统计学 2022-01-11 Peiliang Bai , Abolfazl Safikhani , George Michailidis

We develop an LM test for Granger causality in high-dimensional VAR models based on penalized least squares estimations. To obtain a test retaining the appropriate size after the variable selection done by the lasso, we propose a…

计量经济学 · 经济学 2020-12-07 Alain Hecq , Luca Margaritella , Stephan Smeekes