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Unobserved confounding is common in many applications, making causal inference from observational data challenging. As a remedy, causal sensitivity analysis is an important tool to draw causal conclusions under unobserved confounding with…

Machine Learning · Computer Science 2024-04-10 Dennis Frauen , Fergus Imrie , Alicia Curth , Valentyn Melnychuk , Stefan Feuerriegel , Mihaela van der Schaar

Since interactions in neural systems occur across multiple temporal scales, it is likely that information flow will exhibit a multiscale structure, thus requiring a multiscale generalization of classical temporal precedence causality…

Quantitative Methods · Quantitative Biology 2017-07-13 Sebastiano Stramaglia , Iege Bassez , Luca Faes , Daniele Marinazzo

This article investigates the causality structure of financial time series. We concentrate on three main approaches to measuring causality: linear Granger causality, kernel generalisations of Granger causality (based on ridge regression and…

Computational Finance · Quantitative Finance 2014-06-17 Anna Zaremba , Tomaso Aste

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…

We consider the Granger causal structure learning problem from time series data. Granger causal algorithms predict a 'Granger causal effect' between two variables by testing if prediction error of one decreases significantly in the absence…

As a pivotal component to attaining generalizable solutions in human intelligence, reasoning provides great potential for reinforcement learning (RL) agents' generalization towards varied goals by summarizing part-to-whole arguments and…

Machine Learning · Computer Science 2023-05-18 Wenhao Ding , Haohong Lin , Bo Li , Ding Zhao

Progress in probabilistic generative models has accelerated, developing richer models with neural architectures, implicit densities, and with scalable algorithms for their Bayesian inference. However, there has been limited progress in…

Machine Learning · Statistics 2017-10-31 Dustin Tran , David M. Blei

Causal reasoning is often challenging with spatial data, particularly when handling high-dimensional inputs. To address this, we propose a neural network (NN) based framework integrated with an approximate Gaussian process to manage spatial…

Machine Learning · Computer Science 2024-12-06 Ziyang Jiang , Zach Calhoun , Yiling Liu , Lei Duan , David Carlson

In the present research, the effectiveness of large-scale Augmented Granger Causality (lsAGC) as a tool for gauging brain network connectivity was examined to differentiate between marijuana users and typical controls by utilizing…

Signal Processing · Electrical Eng. & Systems 2024-10-25 Ali Vosoughi , Akhil Kasturi , Axel Wismueller

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

Machine Learning · Computer Science 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang

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…

Machine Learning · Statistics 2022-03-22 Jacek P. Dmochowski

The Jacobian matrix (or the gradient for single-output networks) is directly related to many important properties of neural networks, such as the function landscape, stationary points, (local) Lipschitz constants and robustness to…

Machine Learning · Statistics 2019-02-28 Huan Zhang , Pengchuan Zhang , Cho-Jui Hsieh

Motivation: Mendelian randomization (MR) infers causal relationships between exposures and outcomes using genetic variants as instrumental variables. Typically, MR considers only a pair of exposure and outcome at a time, limiting its…

Applications · Statistics 2025-10-14 Bitan Sarkar , Yang Ni

This article proposes a systematic methodological review and objective criticism of existing methods enabling the derivation of time-varying Granger-causality statistics in neuroscience. The increasing interest and the huge number of…

Applications · Statistics 2017-04-12 Sezen Cekic , Didier Grandjean , Olivier Renaud

Vector autoregression has been widely used for modeling and analysis of multivariate time series data. In high-dimensional settings, model parameter regularization schemes inducing sparsity yield interpretable models and achieved good…

Methodology · Statistics 2023-06-08 Leo L. Duan , Zeyu Yuwen , George Michailidis , Zhengwu Zhang

Identifying the causal relationship among variables from observational data is an important yet challenging task. This work focuses on identifying the direct causes of an outcome and estimating their magnitude, i.e., learning the causal…

Methodology · Statistics 2026-01-08 Zhenyu Wang , Yifan Hu , Peter Bühlmann , Zijian Guo

Background: Simultaneously focusing on intra- and inter-individual body dynamics and elucidating how these affect each other will help understand human inter-personal coordination behavior. However, this association has not been…

Human-Computer Interaction · Computer Science 2026-04-06 Ryota Takamido , Chiharu Suzuki , Jun Ota , Hiroki Nakamoto

The multiple-subject vector autoregression (multi-VAR) model captures heterogeneous network Granger causality across subjects by decomposing individual sparse VAR transition matrices into commonly shared and subject-unique paths. The model…

Methodology · Statistics 2025-10-17 Younghoon Kim , Zachary F. Fisher , Vladas Pipiras

Graph neural networks (GNNs) have been developed to model the relationship between regions of interest (ROIs) in brains and have shown significant improvement in detecting brain diseases. However, most of these frameworks do not consider…

Machine Learning · Computer Science 2025-06-23 Falih Gozi Febrinanto , Adonia Simango , Chengpei Xu , Jingjing Zhou , Jiangang Ma , Sonika Tyagi , Feng Xia

Learning Granger causality from event sequences is a challenging but essential task across various applications. Most existing methods rely on the assumption that event sequences are independent and identically distributed (i.i.d.).…

Machine Learning · Computer Science 2024-03-13 Yuequn Liu , Ruichu Cai , Wei Chen , Jie Qiao , Yuguang Yan , Zijian Li , Keli Zhang , Zhifeng Hao
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