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Comprehending the interplay between spatial and temporal characteristics of neural dynamics can contribute to our understanding of information processing in the human brain. Graph neural networks (GNNs) provide a new possibility to…

Neurons and Cognition · Quantitative Biology 2022-04-29 Simon Wein , Alina Schüller , Ana Maria Tomé , Wilhelm M. Malloni , Mark W. Greenlee , Elmar W. Lang

During the last two decades, we easilly see that the World Wide Web's link structure is modeled as the directed graph. In this paper, we will model the World Wide Web's link structure as the directed hypergraph. Moreover, we will develop…

Social and Information Networks · Computer Science 2022-09-07 Loc Tran , Tho Quan , An Mai

Due to economic globalization, each country's economic law, including tax laws and tax treaties, has been forced to work as a single network. However, each jurisdiction (country or region) has not made its economic law under the assumption…

Econometrics · Economics 2018-06-05 Tembo Nakamoto , Yuichi Ikeda

Protein function prediction may be framed as predicting subgraphs (with certain closure properties) of a directed acyclic graph describing the hierarchy of protein functions. Graph neural networks (GNNs), with their built-in inductive bias…

Machine Learning · Computer Science 2020-08-07 Stefan Spalević , Petar Veličković , Jovana Kovačević , Mladen Nikolić

The task of inferring the missing links in a graph based on its current structure is referred to as link prediction. Link prediction methods that are based on pairwise node similarity are well-established approaches in the literature. They…

Social and Information Networks · Computer Science 2020-08-21 Md Kamrul Islam , Sabeur Aridhi , Malika Smail-Tabbone

Wide area networking infrastructures (WANs), particularly science and research WANs, are the backbone for moving large volumes of scientific data between experimental facilities and data centers. With demands growing at exponential rates,…

Machine Learning · Computer Science 2020-08-31 Tanwi Mallick , Mariam Kiran , Bashir Mohammed , Prasanna Balaprakash

In this study, we take a systematic look at the unrealised part of public transport networks (PTNs) with functional connections. We consider their complement graphs and study their structure. The complement graph $\bar G$ of an unweighted…

Physics and Society · Physics 2026-04-24 Tina Šfiligoj , Oded Cats

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

Dynamical Systems · Mathematics 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie

In this paper we analyze the bipartite network of countries and products from UN data on country production. We define the country-country and product-product projected networks and introduce a novel method of filtering information based on…

We advance our approach of analyzing the dynamics of interacting complex systems with the nonlinear dynamics of interacting nonlinear elements. We replace the widely used lattice-like connection topology of cellular neural networks (CNN) by…

Neurons and Cognition · Quantitative Biology 2016-10-10 Henning Dickten , Christian E. Elger , Klaus Lehnertz

We explore the interplay between the topological relevance of a neuron and its dynamical traces in experimental cultured neuronal networks. We monitor the growth and development of these networks to characterise the evolution of their…

Adaptation and Self-Organizing Systems · Physics 2023-07-14 A. Tlaie , L. M. Ballesteros-Esteban , I. Leyva , I. Sendina-Nadal

Accurately determining and classifying the structure of complex networks is the focus of much current research. One class of network of particular interest are metabolic pathways, which have previously been studied from a graph theoretical…

Mathematical Physics · Physics 2012-10-10 Henry Dorrian , Kieran Smallbone , Jon borresen

Bipartite networks serve as highly suitable models to represent systems involving interactions between two distinct types of entities, such as online dating platforms, job search services, or ecommerce websites. These models can be…

Social and Information Networks · Computer Science 2025-02-11 Şükrü Demir İnan Özer , Günce Keziban Orman , Vincent Labatut

Neural networks are often represented as graphs of connections between neurons. However, despite their wide use, there is currently little understanding of the relationship between the graph structure of the neural network and its…

Machine Learning · Computer Science 2020-08-28 Jiaxuan You , Jure Leskovec , Kaiming He , Saining Xie

Graph Neural Networks (GNNs) often struggle in preserving high-frequency components of nodal signals when dealing with directed graphs. Such components are crucial for modeling flow dynamics, without which a traditional GNN tends to treat a…

Machine Learning · Computer Science 2025-06-09 Haoyang Jiang , Jindong Wang , Xingquan Zhu , Yi He

Accurate prediction with multimodal data-encompassing tabular, textual, and visual inputs or outputs-is fundamental to advancing analytics in diverse application domains. Traditional approaches often struggle to integrate heterogeneous data…

Machine Learning · Statistics 2025-03-11 Xinyu Tian , Xiaotong Shen

International Trade (IT) plays a fundamental role in today's economy: by connecting world countries production and consumption processes, it radically contributes in shaping their economy and development path. Although its evolving…

Physics and Society · Physics 2015-02-24 Paolo Sgrignoli

Graph neural networks have become a staple in problems addressing learning and analysis of data defined over graphs. However, several results suggest an inherent difficulty in extracting better performance by increasing the number of…

Machine Learning · Computer Science 2021-03-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli

There is increasing evidence to suggest functional connectivity networks are non-stationary. This has lead to the development of novel methodologies with which to accurately estimate time-varying functional connectivity networks. Many of…

Networks provide an informative, yet non-redundant description of complex systems only if links represent truly dyadic relationships that cannot be directly traced back to node-specific properties such as size, importance, or coordinates in…

Physics and Society · Physics 2017-06-12 Valerio Gemmetto , Alessio Cardillo , Diego Garlaschelli