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Multivariate time series anomaly detection has numerous real-world applications and is being extensively studied. Modeling pairwise correlations between variables is crucial. Existing methods employ learnable graph structures and graph…

Machine Learning · Computer Science 2025-01-24 Zehao Liu , Mengzhou Gao , Pengfei Jiao

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

Cognitive task classification using machine learning plays a central role in decoding brain states from neuroimaging data. By integrating machine learning with brain network analysis, complex connectivity patterns can be extracted from…

Machine Learning · Computer Science 2026-01-01 Debasis Maji , Arghya Banerjee , Debaditya Barman

Granger causality is a fundamental technique for causal inference in time series data, commonly used in the social and biological sciences. Typical operationalizations of Granger causality make a strong assumption that every time point of…

Machine Learning · Computer Science 2021-05-11 Chainarong Amornbunchornvej , Elena Zheleva , Tanya Berger-Wolf

Statistical significance testing of neural coherence is essential for distinguishing genuine cross-signal coupling from spurious correlations. A widely accepted approach uses surrogate-based inference, where null distributions are generated…

Signal Processing · Electrical Eng. & Systems 2026-05-13 Md Rakibul Mowla , Sukhbinder Kumar , Ariane E. Rhone , Brian J. Dlouhy , Christopher K. Kovach

Functional magnetic resonance imaging or functional MRI (fMRI) is a non-invasive way to assess brain activity by detecting changes associated with blood flow. In this work, we propose a full Bayesian procedure to analyze fMRI data for…

Functional brain connectivity, as revealed through distant correlations in the signals measured by functional Magnetic Resonance Imaging (fMRI), is a promising source of biomarkers of brain pathologies. However, establishing and using…

Estimation of brain functional connectivity from EEG data is of great importance both for medical research and diagnosis. It involves quantifying the conditional dependencies among the activity of different brain areas from the time-varying…

Methodology · Statistics 2026-01-06 Alessia Mapelli , Laura Carini , Francesca Ieva , Sara Sommariva

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

Functional magnetic resonance imaging (fMRI) techniques have contributed significantly to our understanding of brain function. Current methods are based on the analysis of \emph{gradual and continuous} changes in the brain blood oxygenated…

Neurons and Cognition · Quantitative Biology 2011-07-25 Enzo Tagliazucchi , Pablo Balenzuela , Daniel Fraiman , Dante R. Chialvo

This paper proposes a new approach for testing Granger non-causality on panel data. Instead of aggregating panel member statistics, we aggregate their corresponding p-values and show that the resulting p-value approximately bounds the type…

Hybrid Bond Graph (HBG) is a Bond Graph-based modelling approach which provides an effective tool not only for dynamic modeling but also for fault detection and isolation (FDI) of switching systems. Bond graph (BG) has been proven useful…

Systems and Control · Computer Science 2013-12-10 Taher Mekki , Slim Triki , Anas Kamoun

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

In the past two decades, functional Magnetic Resonance Imaging has been used to relate neuronal network activity to cognitive processing and behaviour. Recently this approach has been augmented by algorithms that allow us to infer causal…

Quantitative Methods · Quantitative Biology 2019-05-31 Natalia Z. Bielczyk , Sebo Uithol , Tim van Mourik , Paul Anderson , Jeffrey C. Glennon , Jan K. Buitelaar

Introduced more than a half century ago, Granger causality has become a popular tool for analyzing time series data in many application domains, from economics and finance to genomics and neuroscience. Despite this popularity, the validity…

Methodology · Statistics 2021-05-10 Ali Shojaie , Emily B. Fox

Detecting the dimensionality of graphs is a central topic in machine learning. While the problem has been tackled empirically as well as theoretically, existing methods have several drawbacks. On the one hand, empirical tools are…

Social and Information Networks · Computer Science 2024-08-16 Tobias Friedrich , Andreas Göbel , Maximilian Katzmann , Leon Schiller

In the study of complex physical and biological systems represented by multivariate stochastic processes, an issue of great relevance is the description of the system dynamics spanning multiple temporal scales. While methods to assess the…

Methodology · Statistics 2017-11-01 Luca Faes , Giandomenico Nollo , Sebastiano Stramaglia , Daniele Marinazzo

Functional magnetic resonance imaging (fMRI) is one of the most common imaging modalities to investigate brain functions. Recent studies in neuroscience stress the great potential of functional brain networks constructed from fMRI data for…

Machine Learning · Computer Science 2022-05-31 Xuan Kan , Hejie Cui , Joshua Lukemire , Ying Guo , Carl Yang

Background: Inference from fMRI data faces the challenge that the hemodynamic system that relates neural activity to the observed BOLD fMRI signal is unknown. New Method: We propose a new Bayesian model for task fMRI data with the following…

Applications · Statistics 2020-06-01 Josef Wilzén , Anders Eklund , Mattias Villani

Functional magnetic resonance imaging (fMRI) data provides information concerning activity in the brain and in particular the interactions between brain regions. Resting state fMRI data is widely used for inferring connectivities in the…

Applications · Statistics 2019-03-04 Christina Stoehr , John A D Aston , Claudia Kirch