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The society has a multi-layered structure, where the layers represent the different contexts. To model this structure we begin with a single-layer weighted social network (WSN) model showing the Granovetterian structure. We find that when…

Physics and Society · Physics 2016-09-28 Janos Kertesz , Janos Torok , Yohsuke Murase , Hang-Hyun Jo , Kimmo Kaski

In this study, we build upon a previously proposed neuroevolution framework to evolve deep convolutional models. Specifically, the genome encoding and the crossover operator are extended to make them applicable to layered networks. We also…

Neural and Evolutionary Computing · Computer Science 2021-04-13 Alexander Hadjiivanov , Alan Blair

We explore a systematic approach to studying the dynamics of evolving networks at a coarse-grained, system level. We emphasize the importance of finding good observables (network properties) in terms of which coarse grained models can be…

Multiplex networks describe a large number of systems ranging from social networks to the brain. These multilayer structure encode information in their structure. This information can be extracted by measuring the correlations present in…

Disordered Systems and Neural Networks · Physics 2015-04-23 Giulia Menichetti , Daniel Remondini , Ginestra Bianconi

The architecture of bipartite networks linking two classes of constituents is affected by the interactions within each class. For the bipartite networks representing the mutualistic relationship between pollinating animals and plants, it…

Populations and Evolution · Quantitative Biology 2012-03-13 Seong Eun Maeng , Jae Woo Lee , Deok-Sun Lee

Generative mechanisms which lead to empirically observed structure of networked systems from diverse fields like biology, technology and social sciences form a very important part of study of complex networks. The structure of many…

Physics and Society · Physics 2015-12-03 Snehal M. Shekatkar , G. Ambika

The new concept of multilevel network is introduced in order to embody some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classical models. This new model, which…

Networks extracted from social media platforms frequently include multiple types of links that dynamically change over time; these links can be used to represent dyadic interactions such as economic transactions, communications, and shared…

Social and Information Networks · Computer Science 2016-09-14 Alireza Hajibagheri , Gita Sukthankar , Kiran Lakkaraju

We investigate the optimization of synchronizability in multiplex networks and demonstrate that the interlayer coupling strength is the deciding factor for the efficiency of optimization. The optimized networks have homogeneity in the…

Physics and Society · Physics 2016-02-26 Sanjiv K. Dwivedi , Camellia Sarkar , Sarika Jalan

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

Systems and Control · Electrical Eng. & Systems 2022-03-29 Hancheng Min , Richard Pates , Enrique Mallada

Multilayer networks provide a more advanced and comprehensive framework for modeling real-world systems compared to traditional single-layer and multiplex networks. Unlike single-layer models, multilayer networks have multiple interacting…

Optimization and Control · Mathematics 2025-02-26 Christian D. Rodríguez-Camargo , Andrés F. Urquijo-Rodríguez , Eduardo Mojica-Nava

Multiplex networks are networks composed of multiple layers such that the number of nodes in all layers is the same and the adjacency matrices between the layers are diagonal. We consider the special class of multiplex networks where the…

Adaptation and Self-Organizing Systems · Physics 2021-06-25 Rico Berner , Volker Mehrmann , Eckehard Schöll , Serhiy Yanchuk

The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The intra-layer diffusion constants act as small parameter in the expansion and the unperturbed state…

Statistical Mechanics · Physics 2015-06-22 Malbor Asllani , Daniel M. Busiello , Timoteo Carletti , Duccio Fanelli , Gwendoline Planchon

Most networks of interest do not live in isolation. Instead they form components of larger systems in which multiple networks with distinct topologies coexist and where elements distributed amongst different networks may interact directly.…

Disordered Systems and Neural Networks · Physics 2009-07-07 E. A. Leicht , Raissa M. D'Souza

Identifying the most influential spreaders is important to understand and control the spreading process in a network. As many real-world complex systems can be modeled as multilayer networks, the question of identifying important nodes in…

Physics and Society · Physics 2021-01-08 Qi Zeng , Ying Liu , Liming Pan , Ming Tang

Recent success in training deep neural networks have prompted active investigation into the features learned on their intermediate layers. Such research is difficult because it requires making sense of non-linear computations performed by…

Machine Learning · Computer Science 2016-03-01 Yixuan Li , Jason Yosinski , Jeff Clune , Hod Lipson , John Hopcroft

We present a method for using neural networks to model evolutionary population dynamics, and draw parallels to recent deep learning advancements in which adversarially-trained neural networks engage in coevolutionary interactions. We…

Neural and Evolutionary Computing · Computer Science 2018-04-13 Nick Moran , Jordan Pollack

Despite the phenomenal success of deep learning in recent years, there remains a gap in understanding the fundamental mechanics of neural nets. More research is focussed on handcrafting complex and larger networks, and the design decisions…

Machine Learning · Computer Science 2019-04-25 Saurav Basu , Koyel Mukherjee , Shrihari Vasudevan

We propose an extended local-world evolving network model including a triad formation step. In the process of network evolution, random fluctuation in the number of new edges is involved. We derive analytical expressions for degree…

Statistical Mechanics · Physics 2007-05-23 Zhongzhi Zhang , Lili Rong , Bing Wang , Shuigeng Zhou , Jihong Guan

There are diverse mechanisms driving the evolution of social networks. A key open question dealing with understanding their evolution is: How various preferential linking mechanisms produce networks with different features? In this paper we…

Physics and Society · Physics 2015-06-12 Haibo Hu , Jinli Guo , Xuan Liu
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