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Causal inference is a critical task across fields such as healthcare, economics, and the social sciences. While recent advances in machine learning, especially those based on the deep-learning architectures, have shown potential in…

Machine Learning · Statistics 2024-12-30 Manqing Liu , David R. Bellamy , Andrew L. Beam

This paper addresses the problem of inferring circulation of information between multiple stochastic processes. We discuss two possible frameworks in which the problem can be studied: directed information theory and Granger causality. The…

Information Theory · Computer Science 2011-11-02 Pierre-Olivier Amblard , Olivier J. J. Michel

Inferring interactions between processes promises deeper insight into mechanisms underlying network phenomena. Renormalised partial directed coherence (rPDC) is a frequency-domain representation of the concept of Granger causality while…

Atmospheric and Oceanic Physics · Physics 2017-06-21 Giulio Tirabassi , Linda Sommerlade , Cristina Masoller

Identifying risk spillovers in financial markets is of great importance for assessing systemic risk and portfolio management. Granger causality in tail (or in risk) tests whether past extreme events of a time series help predicting future…

Risk Management · Quantitative Finance 2021-05-07 Piero Mazzarisi , Silvia Zaoli , Carlo Campajola , Fabrizio Lillo

AI data-driven models (Graphcast, Pangu Weather, Fourcastnet, and SFNO) are explored for storyline-based climate attribution due to their short inference times, which can accelerate the number of events studied, and provide real time…

Atmospheric and Oceanic Physics · Physics 2024-09-19 Jorge Baño-Medina , Agniv Sengupta , Allison Michaelis , Luca Delle Monache , Julie Kalansky , Duncan Watson-Parris

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

{We consider the problem of estimating causal influences between observed processes from time series possibly corrupted by errors in the time variable (dating errors) which are typical in palaeoclimatology, planetary science and…

Data Analysis, Statistics and Probability · Physics 2020-04-20 D. A. Smirnov , N. Marwan , S. F. M. Breitenbach , F. Lechleitner , J. Kurths

Granger causality is widely used for causal structure discovery in complex systems from multivariate time series data. Traditional Granger causality tests based on linear models often fail to detect even mild non-linear causal…

Machine Learning · Computer Science 2025-10-23 Ziyi Zhang , Shaogang Ren , Xiaoning Qian , Nick Duffield

Understanding climate change requires reasoning over complex causal networks. Yet, existing causal discovery datasets predominantly capture explicit, direct causal relations. We introduce ClimateCause, a manually expert-annotated dataset of…

Computation and Language · Computer Science 2026-04-17 Liesbeth Allein , Nataly Pineda-Castañeda , Andrea Rocci , Marie-Francine Moens

Despite the remarkable strides made by AI-driven models in modern precipitation forecasting, these black-box models cannot inherently deepen the comprehension of underlying mechanisms. To address this limitation, we propose an AI-driven…

Atmospheric and Oceanic Physics · Physics 2025-05-12 Hao Xu , Yuntian Chen , Zhenzhong Zeng , Nina Li , Jian Li , Dongxiao Zhang

Human nonverbal emotional communication in dyadic dialogs is a process of mutual influence and adaptation. Identifying the direction of influence, or cause-effect relation between participants is a challenging task, due to two main…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Lea Müller , Maha Shadaydeh , Martin Thümmel , Thomas Kessler , Dana Schneider , Joachim Denzler

We investigate the problem of inferring the causal predictors of a response $Y$ from a set of $d$ explanatory variables $(X^1,\dots,X^d)$. Classical ordinary least squares regression includes all predictors that reduce the variance of $Y$.…

Statistics Theory · Mathematics 2018-05-29 Niklas Pfister , Peter Bühlmann , Jonas Peters

Important information on the structure of complex systems, consisting of more than one component, can be obtained by measuring to which extent the individual components exchange information among each other. Such knowledge is needed to…

Disordered Systems and Neural Networks · Physics 2009-11-13 Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

Extracting the interaction rules of biological agents from movement sequences pose challenges in various domains. Granger causality is a practical framework for analyzing the interactions from observed time-series data; however, this…

Attribution of climate impacts to natural and anthropogenic source forcings is essential for understanding and addressing climate effects. While standard methods like optimal fingerprinting have been effective for long-term changes, they…

Applications · Statistics 2025-07-25 Christopher R. Wentland , Michael Weylandt , Laura P. Swiler , Diana L. Bull

A widely applied approach to causal inference from a non-experimental time series $X$, often referred to as "(linear) Granger causal analysis", is to regress present on past and interpret the regression matrix $\hat{B}$ causally. However,…

Machine Learning · Statistics 2015-12-23 Philipp Geiger , Kun Zhang , Mingming Gong , Dominik Janzing , Bernhard Schölkopf

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,…

Methodology · Statistics 2020-06-16 Zhiheng Zhang , Wenbo Hu , Tian Tian , Jun Zhu

Causal inference with observational data critically relies on untestable and extra-statistical assumptions that have (sometimes) testable implications. Well-known sets of assumptions that are sufficient to justify the causal interpretation…

Methodology · Statistics 2024-02-20 Pablo Geraldo Bastías

Counterfactual learning has become promising for understanding and modeling causality in complex and dynamic systems. This paper presents a novel method for counterfactual learning in the context of multivariate time series analysis and…

Machine Learning · Computer Science 2026-03-03 Gianlucca Zuin , Adriano Veloso

The increasing occurrence of extreme weather events since the beginning of the 21st century has led to the development of new methods to attribute extreme events to anthropogenic climate change. The way in which the extreme event is defined…

Atmospheric and Oceanic Physics · Physics 2026-05-25 Pascal Meurer , Sebastian Buschow , Svenja Szemkus , Petra Friederichs