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Physicists are starting to work in areas where noisy signal analysis is required. In these fields, such as Economics, Neuroscience, and Physics, the notion of causality should be interpreted as a statistical measure. We introduce to the lay…

In machine learning, exploring data correlations to predict outcomes is a fundamental task. Recognizing causal relationships embedded within data is pivotal for a comprehensive understanding of system dynamics, the significance of which is…

Machine Learning · Computer Science 2023-11-28 Simi Job , Xiaohui Tao , Taotao Cai , Haoran Xie , Lin Li , Jianming Yong , Qing Li

Recent years have seen rapid progress at the intersection between causality and machine learning. Motivated by scientific applications involving high-dimensional data, in particular in biomedicine, we propose a deep neural architecture for…

Machine Learning · Computer Science 2022-12-12 Kai Lagemann , Christian Lagemann , Bernd Taschler , Sach Mukherjee

This report reviews the conceptual and theoretical links between Granger causality and directed information theory. We begin with a short historical tour of Granger causality, concentrating on its closeness to information theory. The…

Information Theory · Computer Science 2015-06-12 Pierre-Olivier Amblard , Olivier J. J. Michel

Machine learning has revitalized causal inference by combining flexible models and principled estimators, yet robust benchmarking and evaluation remain challenging with real-world data. In this work, we introduce frengression, a deep…

Methodology · Statistics 2025-08-05 Linying Yang , Robin J. Evans , Xinwei Shen

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

Understanding causal heterogeneity is essential for scientific discovery in domains such as biology and medicine. However, existing methods lack causal awareness, with insufficient modeling of heterogeneity, confounding, and observational…

Machine Learning · Computer Science 2025-10-29 Wenrui Li , Qinghao Zhang , Xiaowo Wang

Wiener-Granger causality is a widely used framework of causal analysis for temporally resolved events. We introduce a new measure of Wiener-Granger causality based on kernelization of partial canonical correlation analysis with specific…

Machine Learning · Statistics 2015-10-21 Mehrdad Jafari-Mamaghani

In this paper, we discuss structure learning of causal networks from multiple data sets obtained by external intervention experiments where we do not know what variables are manipulated. For example, the conditions in these experiments are…

Machine Learning · Statistics 2016-10-28 Yango He , Zhi Geng

Identifying causality behind complex systems plays a significant role in different domains, such as decision making, policy implementations, and management recommendations. However, existing causality studies on temporal event sequences…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Sujia Zhu , Yue Shen , Zihao Zhu , Wang Xia , Baofeng Chang , Ronghua Liang , Guodao Sun

Multivariate time series (MTS) forecasting is an essential problem in many fields. Accurate forecasting results can effectively help decision-making. To date, many MTS forecasting methods have been proposed and widely applied. However,…

Machine Learning · Computer Science 2021-12-16 Ziheng Duan , Haoyan Xu , Yida Huang , Jie Feng , Yueyang Wang

We introduce a framework for learning robust visual representations that generalize to new viewpoints, backgrounds, and scene contexts. Discriminative models often learn naturally occurring spurious correlations, which cause them to fail on…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Chengzhi Mao , Augustine Cha , Amogh Gupta , Hao Wang , Junfeng Yang , Carl Vondrick

Temporal knowledge graph reasoning (TKGR) is increasingly gaining attention for its ability to extrapolate new events from historical data, thereby enriching the inherently incomplete temporal knowledge graphs. Existing graph-based…

Machine Learning · Computer Science 2025-01-27 Jinze Sun , Yongpan Sheng , Lirong He , Yongbin Qin , Ming Liu , Tao Jia

Transformer-based models have become state-of-the-art tools in various machine learning tasks, including time series classification, yet their complexity makes understanding their internal decision-making challenging. Existing…

Machine Learning · Computer Science 2025-11-27 Matīss Kalnāre , Sofoklis Kitharidis , Thomas Bäck , Niki van Stein

Describing the causal relations governing a system is a fundamental task in many scientific fields, ideally addressed by experimental studies. However, obtaining data under intervention scenarios may not always be feasible, while…

Methodology · Statistics 2022-05-06 Jack Kuipers , Giusi Moffa

Causality graphs are routinely estimated in social sciences, natural sciences, and engineering due to their capacity to efficiently represent the spatiotemporal structure of multivariate data sets in a format amenable for human…

Signal Processing · Electrical Eng. & Systems 2020-11-16 Bakht Zaman , Luis Miguel Lopez Ramos , Daniel Romero , Baltasar Beferull-Lozano

Dynamic prediction of causal effects under different treatment regimes conditional on an individual's characteristics and longitudinal history is an essential problem in precision medicine. This is challenging in practice because outcomes…

Methodology · Statistics 2023-03-07 Yizhen Xu , Jisoo Kim , Laura K. Hummers , Ami A. Shah , Scott Zeger

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

Methodology · Statistics 2024-02-14 David Strieder , Mathias Drton

We discuss the use of multivariate Granger causality in presence of redundant variables: the application of the standard analysis, in this case, leads to under-estimation of causalities. Using the un-normalized version of the causality…

Quantitative Methods · Quantitative Biology 2015-05-14 L. Angelini , M. de Tommaso , D. Marinazzo , L. Nitti , M. Pellicoro , S. Stramaglia

This review systematizes the emerging literature for causal inference using deep neural networks under the potential outcomes framework. It provides an intuitive introduction on how deep learning can be used to estimate/predict…

Machine Learning · Computer Science 2023-11-30 Bernard Koch , Tim Sainburg , Pablo Geraldo , Song Jiang , Yizhou Sun , Jacob Gates Foster