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Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

Statistical Mechanics · Physics 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

Objective: In recent years, the functional connectivity of the human brain has been studied with graph theoretical tools. One such approach is community detection which is fundamental for uncovering the localized networks. Existing methods…

Signal Processing · Electrical Eng. & Systems 2022-09-27 Abdullah Karaaslanli , Meiby Ortiz-Bouza , Tamanna T. K. Munia , Selin Aviyente

Insomnia affects a vast population of the world and can have a wide range of causes. Existing treatments for insomnia have been linked with many side effects like headaches, dizziness, etc. As such, there is a clear need for improved…

Signal Processing · Electrical Eng. & Systems 2025-07-22 Kevin Monteiro , Sam Nallaperuma-Herzberg , Martina Mason , Steve Niederer

We address the problem of estimating causal effects from observational data in the presence of network confounding, a setting where both treatment assignment and observed outcomes of individuals may be influenced by their neighbors within a…

Machine Learning · Computer Science 2026-03-24 Abhishek Dalvi , Neil Ashtekar , Vasant Honavar

In contemporary scientific research, understanding the distinction between correlation and causation is crucial. While correlation is a widely used analytical standard, it does not inherently imply causation. This paper addresses the…

Machine Learning · Computer Science 2023-12-27 Cao Zhihao , Qu Hongchun

Bayesian Networks may be appealing for clinical decision-making due to their inclusion of causal knowledge, but their practical adoption remains limited as a result of their inability to deal with unstructured data. While neural networks do…

Machine Learning · Computer Science 2022-11-16 Paloma Rabaey , Cedric De Boom , Thomas Demeester

Causal inference in brain networks has traditionally relied on regression-based models such as Granger causality, structural equation modeling, and dynamic causal modeling. While effective for identifying directed associations, these…

Neurons and Cognition · Quantitative Biology 2026-04-01 Moo K. Chung , Luigi Maccotta , Aaron Struck

Effective connectivity analysis provides an understanding of the functional organization of the brain by studying how activated regions influence one other. We propose a nonparametric Bayesian approach to model effective connectivity…

Applications · Statistics 2011-07-22 Sourabh Bhattacharya , Ranjan Maitra

We propose a constraint-based algorithm, which automatically determines causal relevance thresholds, to infer causal networks from data. We call these topological thresholds. We present two methods for determining the threshold: the first…

Machine Learning · Statistics 2024-04-24 Filipe Barroso , Diogo Gomes , Gareth J. Baxter

Most EEG-based Brain-Computer Interfaces (BCIs) require a considerable amount of training data to calibrate the classification model, owing to the high variability in the EEG data, which manifests itself between participants, but also…

Machine Learning · Computer Science 2022-03-29 Oleksandr Zlatov , Benjamin Blankertz

In this note we explore a fully unsupervised deep-learning framework for simulating non-linear structural equation models from observational training data. The main contribution of this note is an architecture for applying moment-matching…

Machine Learning · Statistics 2020-07-28 Michael Park

Network data are increasingly collected along with other variables of interest. Our motivation is drawn from neurophysiology studies measuring brain connectivity networks for a sample of individuals along with their membership to a low or…

Methodology · Statistics 2018-09-11 Daniele Durante , David B. Dunson

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

Empirical Dynamic Modeling (EDM) is a nonlinear time series causal inference framework. The latest implementation of EDM, cppEDM, has only been used for small datasets due to computational cost. With the growth of data collection…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-24 Wassapon Watanakeesuntorn , Keichi Takahashi , Kohei Ichikawa , Joseph Park , George Sugihara , Ryousei Takano , Jason Haga , Gerald M. Pao

In this work, we discover that causal inference provides a promising approach to capture heterophilic message-passing in Graph Neural Network (GNN). By leveraging cause-effect analysis, we can discern heterophilic edges based on asymmetric…

Machine Learning · Computer Science 2024-11-28 Botao Wang , Jia Li , Heng Chang , Keli Zhang , Fugee Tsung

Depression is a major cause of global mental illness and significantly influences suicide rates. Timely and accurate diagnosis is essential for effective intervention. Electroencephalography (EEG) provides a non-invasive and accessible…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Soujanya Hazra , Sanjay Ghosh

Magnetoencephalography (MEG) and Electroencephalography (EEG) source estimates have thus far mostly been derived sample by sample, i.e., independent of each other in time. However, neuronal assemblies are heavily interconnected,…

Quantitative Methods · Quantitative Biology 2019-09-09 Christoph Dinh , John GW Samuelsson , Alexander Hunold , Matti S Hämäläinen , Sheraz Khan

Epilepsy is a neurological disorder and for its detection, encephalography (EEG) is a commonly used clinical approach. Manual inspection of EEG brain signals is a time-consuming and laborious process, which puts heavy burden on neurologists…

Computer Vision and Pattern Recognition · Computer Science 2018-01-17 Ihsan Ullah , Muhammad Hussain , Emad-ul-Haq Qazi , Hatim Aboalsamh

The functional and structural representation of the brain as a complex network is marked by the fact that the comparison of noisy and intrinsically correlated high-dimensional structures between experimental conditions or groups shuns…

Neurons and Cognition · Quantitative Biology 2013-10-25 Tommaso Furlanello , Marco Cristoforetti , Cesare Furlanello , Giuseppe Jurman

The human brain is a directional network system of brain regions involving directional connectivity. Seizures are a directional network phenomenon as abnormal neuronal activities start from a seizure onset zone (SOZ) and propagate to…

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