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We address the problem of identifying a graph structure from the observation of signals defined on its nodes. Fundamentally, the unknown graph encodes direct relationships between signal elements, which we aim to recover from observable…

Social and Information Networks · Computer Science 2016-08-11 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

The brain's structural and functional systems, protein-protein interaction, and gene networks are examples of biological systems that share some features of complex networks, such as highly connected nodes, modularity, and small-world…

A recurrent neural network (RNN) is a universal approximator of dynamical systems, whose performance often depends on sensitive hyperparameters. Tuning of such hyperparameters may be difficult and, typically, based on a trial-and-error…

Neural and Evolutionary Computing · Computer Science 2017-02-22 Filippo Maria Bianchi , Lorenzo Livi , Cesare Alippi , Robert Jenssen

Normative modelling is an increasingly common statistical technique in neuroimaging that estimates population-level benchmarks in brain structure. It enables the quantification of individual deviations from expected distributions whilst…

Neurons and Cognition · Quantitative Biology 2025-10-21 Nida Alyas , Jonathan Horsley , Bethany Little , Peter N. Taylor , Yujiang Wang , Karoline Leiberg

Comparing weighted networks in neuroscience is hard, because the topological properties of a given network are necessarily dependent on the number of edges of that network. This problem arises in the analysis of both weighted and unweighted…

Applications · Statistics 2014-03-28 Cedric E. Ginestet , Arnaud P. Fournel , Andrew Simmons

Many real world network problems often concern multivariate nodal attributes such as image, textual, and multi-view feature vectors on nodes, rather than simple univariate nodal attributes. The existing graph estimation methods built on…

Machine Learning · Statistics 2013-04-23 Mladen Kolar , Han Liu , Eric P. Xing

Accurate simulation of granular flow dynamics is crucial for assessing various geotechnical risks, including landslides and debris flows. Granular flows involve a dynamic rearrangement of particles exhibiting complex transitions from…

Geophysics · Physics 2023-12-13 Yongjin Choi , Krishna Kumar

Learning-based signal processing systems increasingly support high-stakes medical decisions using heterogeneous biomedical signals, including medical images, physiological time series, and clinical records. Despite strong predictive…

Signal Processing · Electrical Eng. & Systems 2026-03-02 Surajit Das , Maxine Tan

Introduced the quantitative measure of the structural complexity of the graph (complex network, etc.) based on a procedure similar to the renormalization process, considering the difference between actual and averaged graph structures on…

Physics and Society · Physics 2024-06-05 A. A. Snarskii

Cardiovascular networks span the body by branching across many generations of vessels. The resulting structure delivers blood over long distances to supply all cells with oxygen via the relatively short-range process of diffusion at the…

Medical Physics · Physics 2016-06-15 David Hunt , Van M. Savage

One of the paramount challenges in neuroscience is to understand the dynamics of individual neurons and how they give rise to network dynamics when interconnected. Historically, researchers have resorted to graph theory, statistics, and…

Neurons and Cognition · Quantitative Biology 2019-02-08 Jean-Baptiste Bardin , Gard Spreemann , Kathryn Hess

In this paper, we propose a reservoir computing-based and directed graph analysis pipeline. The goal of this pipeline is to define an efficient brain representation for connectivity in stroke data derived from magnetic resonance imaging.…

Machine Learning · Computer Science 2025-01-28 Wojciech Ciezobka , Joan Falco-Roget , Cemal Koba , Alessandro Crimi

In reliable decision-making systems based on machine learning, models have to be robust to distributional shifts or provide the uncertainty of their predictions. In node-level problems of graph learning, distributional shifts can be…

Machine Learning · Computer Science 2023-11-02 Gleb Bazhenov , Denis Kuznedelev , Andrey Malinin , Artem Babenko , Liudmila Prokhorenkova

Image-based, patient-specific modelling of hemodynamics can improve diagnostic capabilities and provide complementary insights to better understand the hemodynamic treatment outcomes. However, computational fluid dynamics simulations remain…

Numerical Analysis · Mathematics 2025-02-18 Francesco Romor , Felipe Galarce , Jan Brüning , Leonid Goubergrits , Alfonso Caiazzo

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

Blood vessel networks, represented as 3D graphs, help predict disease biomarkers, simulate blood flow, and aid in synthetic image generation, relevant in both clinical and pre-clinical settings. However, generating realistic vessel graphs…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Chinmay Prabhakar , Suprosanna Shit , Fabio Musio , Kaiyuan Yang , Tamaz Amiranashvili , Johannes C. Paetzold , Hongwei Bran Li , Bjoern Menze

Machine learning provides a valuable tool for analyzing high-dimensional functional neuroimaging data, and is proving effective in predicting various neurological conditions, psychiatric disorders, and cognitive patterns. In functional…

Machine Learning · Computer Science 2024-11-25 Anwar Said , Roza G. Bayrak , Tyler Derr , Mudassir Shabbir , Daniel Moyer , Catie Chang , Xenofon Koutsoukos

Empirical studies of graphs have contributed enormously to our understanding of complex systems. Known today as network science, what was originally a theoretical study of graphs has grown into a more scientific exploration of communities…

Quantitative Methods · Quantitative Biology 2020-01-01 Ryan E. Langendorf , Debra S. Goldberg

Persistence diagrams (PDs), often characterized as sets of death and birth of homology class, have been known for providing a topological representation of a graph structure, which is often useful in machine learning tasks. Prior works rely…

Machine Learning · Computer Science 2022-09-29 Chau Pham , Trung Dang , Peter Chin

Graph Neural Networks (GNNs) extend the success of neural networks to graph-structured data by accounting for their intrinsic geometry. While extensive research has been done on developing GNN models with superior performance according to a…