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Realistic large-scale networks display an heterogeneous distribution of connectivity weights, that might also randomly vary in time. We show that depending on the level of heterogeneity in the connectivity coefficients, different…

Mathematical Physics · Physics 2012-09-13 Geoffroy Hermann , Jonathan Touboul

Recent research has provided a wealth of evidence highlighting the pivotal role of high-order interdependencies in supporting the information-processing capabilities of distributed complex systems. These findings may suggest that high-order…

Adaptation and Self-Organizing Systems · Physics 2023-05-24 Patricio Orio , Pedro A. M. Mediano , Fernando E. Rosas

Complex adaptive systems have been the subject of much recent attention. It is by now well-established that members (`agents') tend to self-segregate into opposing groups characterized by extreme behavior. However, while different social…

Condensed Matter · Physics 2009-11-07 Shahar Hod , Ehud Nakar

Networks of heterogeneous oscillators are often seen to display collective synchronized oscillations, even when single elements of the network do not oscillate in isolation. It has been found that it is the diversity of the individual…

Biological Physics · Physics 2026-01-07 Marco Patriarca , Stefano Scialla , Els Heinsalu , Marius E. Yamakou , Julyan H. E. Cartwright

The primary goal in recommendation is to suggest relevant content to users, but optimizing for accuracy often results in recommendations that lack diversity. To remedy this, conventional approaches such as re-ranking improve diversity by…

Machine Learning · Computer Science 2023-06-12 Itay Eilat , Nir Rosenfeld

Random Threshold Networks (RTNs) are an idealized model of diluted, non symmetric spin glasses, neural networks or gene regulatory networks. RTNs also serve as an interesting general example of any coordinated causal system. Here we study…

Quantitative Methods · Quantitative Biology 2009-01-14 M. Andrecut , D. Foster , H. Carteret , S. A. Kauffman

Institutions and investors are constantly faced with the challenge of appropriately distributing endowments. No budget is limitless and optimising overall spending without sacrificing positive outcomes has been approached and resolved using…

Multiagent Systems · Computer Science 2023-01-25 Theodor Cimpeanu , Alessandro Di Stefano , Cedric Perret , The Anh Han

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in…

Chaotic Dynamics · Physics 2015-06-11 Guillaume Lajoie , Kevin K. Lin , Eric Shea-Brown

We study the evolution of heterogeneous networks of oscillators subject to a state-dependent interconnection rule. We find that heterogeneity in the node dynamics is key in organizing the architecture of the functional emerging networks. We…

Adaptation and Self-Organizing Systems · Physics 2015-07-27 Francesco Scafuti , Takaaki Aoki , Mario di Bernardo

Empirical evidence suggesting that living systems might operate in the vicinity of critical points, at the borderline between order and disorder, has proliferated in recent years, with examples ranging from spontaneous brain activity to…

Statistical Mechanics · Physics 2014-07-25 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Miguel A. Munoz , Jayanth R. Banavar , Amos Maritan

The advances in understanding complex networks have generated increasing interest in dynamical processes occurring on them. Pattern formation in activator-inhibitor systems has been studied in networks, revealing differences from the…

Adaptation and Self-Organizing Systems · Physics 2015-06-09 Nikos E. Kouvaris , Shigefumi Hata , Albert Díaz-Guilera

Ensembling neural networks is an effective way to increase accuracy, and can often match the performance of individual larger models. This observation poses a natural question: given the choice between a deep ensemble and a single neural…

Machine Learning · Computer Science 2022-10-14 Taiga Abe , E. Kelly Buchanan , Geoff Pleiss , Richard Zemel , John P. Cunningham

Recent advancements in measurement techniques have resulted in an increasing amount of data on neural activities recorded in parallel, revealing largely heterogeneous correlation patterns across neurons. Yet, the mechanistic origin of this…

Disordered Systems and Neural Networks · Physics 2024-04-26 Moritz Layer , Moritz Helias , David Dahmen

Co-evolutionary adaptive mechanisms are not only ubiquitous in nature, but also beneficial for the functioning of a variety of systems. We here consider an adaptive network of oscillators with a stochastic, fitness-based, rule of…

Physics and Society · Physics 2016-06-08 Young-Ho Eom , Stefano Boccaletti , Guido Caldarelli

Biological information processing manifests a huge variety in its complexity and capability among different organisms, which presumably stems from the evolutionary optimization under limited computational resources. Starting from the…

Biological Physics · Physics 2025-10-21 Takehiro Tottori , Tetsuya J. Kobayashi

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

It is well known that networks generated by common mechanisms such as preferential attachment and homophily can disadvantage the minority group by limiting their ability to establish links with the majority group. This has the effect of…

Social and Information Networks · Computer Science 2021-12-21 Xindi Wang , Onur Varol , Tina Eliassi-Rad

The ability to achieve coordinated behavior --engineered or emergent-- on networked systems has attracted widespread interest over several fields. This has led to remarkable advances on the development of a theoretical understanding of the…

Systems and Control · Computer Science 2019-09-16 Hancheng Min , Enrique Mallada

Controlling complex networked systems to a desired state is a key research goal in contemporary science. Despite recent advances in studying the impact of network topology on controllability, a comprehensive understanding of the synergistic…

Optimization and Control · Mathematics 2014-08-04 Chen Zhao , Wen-Xu Wang , Yang-Yu Liu , Jean-Jacques Slotine

We study numerically how the structures of distinct networks influence the epidemic dynamics in contact process. We first find that the variability difference between homogeneous and heterogeneous networks is very narrow, although the…

Physics and Society · Physics 2012-04-04 Kai Gong , Ming Tang , Hui Yang , Mingsheng Shang