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Granger causality analysis (GCA) provides a powerful tool for uncovering the patterns of brain connectivity mechanism using neuroimaging techniques. Conventional GCA applies two different mathematical theories in a two-stage scheme: (1) the…

Methodology · Statistics 2020-04-28 Fei Li , Xuewei Wang , Qiang Lin , Zhenghui Hu

In this paper, we propose a new Granger causality measure which is robust against the confounding influence of latent common inputs. This measure is inspired by partial Granger causality in the literature, and its variant. Using numerical…

Methodology · Statistics 2019-08-13 Takashi Arai

Exploiting the theory of state space models, we derive the exact expressions of the information transfer, as well as redundant and synergistic transfer, for coupled Gaussian processes observed at multiple temporal scales. All of the terms,…

Methodology · Statistics 2017-08-21 Luca Faes , Daniele Marinazzo , Sebastiano Stramaglia

Federated Graph Learning (FGL) has emerged as a powerful paradigm for decentralized training of graph neural networks while preserving data privacy. However, existing FGL methods are predominantly designed for static graphs and rely on…

Machine Learning · Computer Science 2026-04-01 Yuxuan Liu , Wenchao Xu , Haozhao Wang , Zhiming He , Zhaofeng Shi , Chongyang Xu , Peichao Wang , Boyuan Zhang

The achievement of the 2030 Sustainable Development Goals (SDGs) is dependent upon strategic resource distribution. We propose a causal discovery framework using Panel Vector Autoregression, along with both country-specific fixed effects…

The present study explores the intricacies of causal relationship extraction, a vital component in the pursuit of causality knowledge. Causality is frequently intertwined with temporal elements, as the progression from cause to effect is…

Computation and Language · Computer Science 2023-04-24 Xiaosong Yuan , Ke Chen , Wanli Zuo , Yijia Zhang

Causality is a central topic in scientific inquiry, yet for complex systems, the identification and analysis of synergistic causation remain a challenging and fundamental problem. In the context of causal relations among multivariate…

Machine Learning · Statistics 2026-05-06 Mingzhe Yang , Shuo Wang , Jiang Zhang

While correlation measures are used to discern statistical relationships between observed variables in almost all branches of data-driven scientific inquiry, what we are really interested in is the existence of causal dependence. Designing…

Machine Learning · Computer Science 2014-06-26 Ishanu Chattopadhyay

Many real-world processes are trajectories that may be regarded as continuous-time "functional data". Examples include patients' biomarker concentrations, environmental pollutant levels, and prices of stocks. Corresponding advances in data…

Statistics Theory · Mathematics 2022-11-30 Jinghao Sun , Forrest W. Crawford

Estimating individual treatment effects (ITE) from observational data is a critical task across various domains. However, many existing works on ITE estimation overlook the influence of hidden confounders, which remain unobserved at the…

Machine Learning · Computer Science 2024-12-06 Binbin Hu , Zhicheng An , Zhengwei Wu , Ke Tu , Ziqi Liu , Zhiqiang Zhang , Jun Zhou , Yufei Feng , Jiawei Chen

Through recognizing causal subgraphs, causal graph learning (CGL) has risen to be a promising approach for improving the generalizability of graph neural networks under out-of-distribution (OOD) scenarios. However, the empirical successes…

Machine Learning · Computer Science 2025-07-02 Yujia Yin , Tianyi Qu , Zihao Wang , Yifan Chen

This paper studies causal inference with observational data from a single large network. We consider a nonparametric model with interference in both potential outcomes and selection into treatment. Specifically, both stages may be the…

Econometrics · Economics 2025-12-30 Michael P. Leung , Pantelis Loupos

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…

In this paper, we propose a mixture of probabilistic partial canonical correlation analysis (MPPCCA) that extracts the Causal Patterns from two multivariate time series. Causal patterns refer to the signal patterns within interactions of…

Methodology · Statistics 2017-12-13 Hiroki Mori , Keisuke Kawano , Hiroki Yokoyama

Sharing spectrum with a communicating incumbent user (IU) network requires avoiding interference to IU receivers. But since receivers are passive when in the receive mode and cannot be detected, the network topology can be used to predict…

Networking and Internet Architecture · Computer Science 2018-03-14 Mihir Laghate , Danijela Cabric

We introduce a new approach to functional causal modeling from observational data, called Causal Generative Neural Networks (CGNN). CGNN leverages the power of neural networks to learn a generative model of the joint distribution of the…

Knowledge graphs and structural causal models have each proven valuable for organizing biomedical knowledge and estimating causal effects, but remain largely disconnected: knowledge graphs encode qualitative relationships focusing on facts…

Artificial Intelligence · Computer Science 2025-05-13 Sumyyah Toonsi , Paul Schofield , Robert Hoehndorf

Many large-scale applications can be elegantly represented using graph structures. Their scalability, however, is often limited by the domain knowledge required to apply them. To address this problem, we propose a novel Causal Temporal…

Machine Learning · Computer Science 2023-03-20 Abigail Langbridge , Fearghal O'Donncha , Amadou Ba , Fabio Lorenzi , Christopher Lohse , Joern Ploennigs

Understanding the dynamics of functional brain connectivity patterns using noninvasive neuroimaging techniques is an important focus in human neuroscience. Vector autoregressive (VAR) processes and Granger causality analysis (GCA) have been…

Applications · Statistics 2022-09-16 Jingjing Fan , Kevin Sitek , Bharath Chandrasekaran , Abhra Sarkar

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