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The structure of a complex network plays a crucial role in determining its dynamical properties. In this work, we show that the the degree to which a network is directed and hierarchically organised is closely associated with the degree to…

Modeling evolving interactions among entities is critical in many real-world tasks. For example, predicting driver maneuvers in traffic requires tracking how neighboring vehicles accelerate, brake, and change lanes relative to one another…

Artificial Intelligence · Computer Science 2025-09-23 Osama Mohammed , Jiaxin Pan , Mojtaba Nayyeri , Daniel Hernández , Steffen Staab

The small-world phenomenon has been already the subject of a huge variety of papers, showing its appeareance in a variety of systems. However, some big holes still remain to be filled, as the commonly adopted mathematical formulation…

Statistical Mechanics · Physics 2009-11-07 Vito Latora , Massimo Marchiori

Achieving international food security requires improved understanding of how international trade networks connect countries around the world through the import-export flows of food commodities. The properties of food trade networks are…

General Finance · Quantitative Finance 2017-11-20 Sofia Torreggiani , Giuseppe Mangioni , Michael J. Puma , Giorgio Fagiolo

Many real-world systems can be expressed in temporal networks with nodes playing far different roles in structure and function and edges representing the relationships between nodes. Identifying critical nodes can help us control the spread…

Social and Information Networks · Computer Science 2021-07-07 En-Yu Yu , Yan Fu , Jun-Lin Zhou , Hong-Liang Sun , Duan-Bing Chen

We introduce a mathematical theory called market connectivity that gives concrete ways to both measure the efficiency of markets and find inefficiencies in large markets. The theory leads to new methods for testing the famous efficient…

Economics · Quantitative Finance 2017-02-14 Anup Rao

One important question in neuroscience is how global behavior in a brain network emerges from the interplay between network connectivity and the neural dynamics of individual nodes. To better understand this theoretical relationship, we…

Neurons and Cognition · Quantitative Biology 2022-09-13 Anca Radulescu , Johan Nakuci , Simone Evans , Sarah Muldoon

Link prediction, which consists of predicting edges based on graph features, is a fundamental task in many graph applications. As for several related problems, Graph Neural Networks (GNNs), which are based on an attribute-centric…

Machine Learning · Computer Science 2023-05-24 Zexi Huang , Mert Kosan , Arlei Silva , Ambuj Singh

The integration of machine learning tools into telecom networks, has led to two prevailing paradigms, namely, language-based systems, such as Large Language Models (LLMs), and physics-based systems, such as Digital Twins (DTs). While…

In many real-world networks the ability to synchronize is a key property for its performance. Examples include power-grid, sensor, and neuron networks as well as consensus formation. Recent work on undirected networks with diffusive…

Dynamical Systems · Mathematics 2014-08-21 Jan Philipp Pade , Tiago Pereira

Networks effectively capture interactions among components of complex systems, and have thus become a mainstay in many scientific disciplines. Growing evidence, especially from biology, suggest that networks undergo changes over time, and…

Methodology · Statistics 2020-03-10 Ali Shojaie

Principled prediction of when and where links form in complex networks is a fundamental problem. We derive a closed-form non-Markovian expression for next-step connection probabilities that unifies latent hyperbolic geometry with long-range…

Physics and Society · Physics 2026-04-28 Fragkiskos Papadopoulos

We show, both numerically and analytically, that the consequences of 'wiring up' a competitive population depend quite dramatically on the interplay between the local connectivity and the global resources. With modest global resources,…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. Gourley , S. C. Choe , P. M. Hui , N. F. Johnson

From a telecommunication standpoint, the surge in users and services challenges next-generation networks with escalating traffic demands and limited resources. Accurate traffic prediction can offer network operators valuable insights into…

Machine Learning · Computer Science 2024-05-16 Duc Thinh Ngo , Kandaraj Piamrat , Ons Aouedi , Thomas Hassan , Philippe Raipin-Parvédy

Economic systems, traditionally analyzed as almost independent national systems, are increasingly connected on a global scale. Only recently becoming available, the World Input-Output Database (WIOD) is one of the first efforts to construct…

Physics and Society · Physics 2015-08-19 Federica Cerina , Zhen Zhu , Alessandro Chessa , Massimo Riccaboni

Neural networks have succeeded in many reasoning tasks. Empirically, these tasks require specialized network structures, e.g., Graph Neural Networks (GNNs) perform well on many such tasks, but less structured networks fail. Theoretically,…

Machine Learning · Computer Science 2020-02-18 Keyulu Xu , Jingling Li , Mozhi Zhang , Simon S. Du , Ken-ichi Kawarabayashi , Stefanie Jegelka

Across scientific disciplines, thresholded pairwise measures of statistical dependence between time series are taken as proxies for the interactions between the dynamical units of a network. Yet such correlation measures often fail to…

Data Analysis, Statistics and Probability · Physics 2018-02-07 Benedict J. Lünsmann , Christoph Kirst , Marc Timme

In the past years, predictive process monitoring (PPM) techniques based on artificial neural networks have evolved as a method to monitor the future behavior of business processes. Existing approaches mostly focus on interpreting the…

Machine Learning · Computer Science 2025-03-06 Attila Lischka , Simon Rauch , Oliver Stritzel

Finding the common structural brain connectivity network for a given population is an open problem, crucial for current neuro-science. Recent evidence suggests there's a tightly connected network shared between humans. Obtaining this…

Neurons and Cognition · Quantitative Biology 2017-01-10 Nahuel Lascano , Guillermo Gallardo , Rachid Deriche , Dorian Mazauric , Demian Wassermann

Graph Neural Networks (GNNs) have excelled in predicting graph properties in various applications ranging from identifying trends in social networks to drug discovery and malware detection. With the abundance of new architectures and…

Machine Learning · Computer Science 2024-06-06 Roya Aliakbarisani , Robert Jankowski , M. Ángeles Serrano , Marián Boguñá
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