Filters








34 Hits in 3.2 sec

Hypernetwork Science: From Multidimensional Networks to Computational Topology [article]

Cliff A. Joslyn, Sinan Aksoy, Tiffany J. Callahan, Lawrence E. Hunter, Brett Jefferson, Brenda Praggastis, Emilie A.H. Purvine, Ignacio J. Tripodi
2020 arXiv   pre-print
abstractions from algebra, lattice theory, and topology.  ...  In this paper we discuss the role of (undirected) hypergraphs in the science of complex networks, and provide a mathematical overview of the core concepts needed for hypernetwork modeling, including duality  ...  Thus they support a wider range of mathematical methods, such as those from computational topology, to identify features specific to the high-dimensional complexity in hypernetworks, but not available  ... 
arXiv:2003.11782v1 fatcat:yh4auler7fc7vfriibh73ldegu

Hypernetworks of Complex Systems [chapter]

Jeffrey Johnson
2009 Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering  
Hypernetworks provide a significant generalisation of network theory, enabling the integration of relational structure, logic, and topological and analytic dynamics.  ...  The notion of relational simplex generalises the concept of network edge to relations between many elements.  ...  Links assembled to routes in a road network enabling vehicles to travel from A to A'.  ... 
doi:10.1007/978-3-642-02466-5_35 fatcat:4ldyc46vy5c7vpce66nei37stu

Hypernetworks for Policy Design in Systems of Systems of Systems [chapter]

Jeffrey Johnson
2013 Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering  
Hypernetworks generalise networks and hypergraphs, allowing relations between many things to be modelled by hypersimplices with richer structure than hypergraph edges.  ...  They provide a natural way of representing social structures, enabling polices to be tested by computation and big data before they are implemented.  ...  The vertices of simplices are ordered, and they have a multidimensional connectivity structure. Algebraic topology provides much useful theory for representing coupled dynamical subsystems.  ... 
doi:10.1007/978-3-319-03473-7_16 fatcat:5oyrgsl7qbfldjxaa2hpc42le4

Service Value Networks: Humans Hypernetwork to Cocreate Value

W. K. V. Chan, Cheng Hsu
2012 IEEE transactions on systems, man and cybernetics. Part A. Systems and humans  
The hypernetwork model analyzes human networks that overlay multidimensionally, such as the Internet community itself.  ...  This paper develops a new analysis of service value networks, building on a previously presented hyper-network model to study how people can scale their value cocreation up to span the entire population  ...  THE HYPER-NETWORK MODEL CONNECTS SERVICE SCIENCE AND NETWORK SCIENCE Network science emerged mainly from the studies of engineering, biological, and social networks.  ... 
doi:10.1109/tsmca.2012.2183356 fatcat:hglsrhsghzeezjsojzfkqsss5a

The multilevel hypernetwork dynamics of complex systems of robot soccer agents

Jeffrey H. Johnson, Pejman Iravani
2007 ACM Transactions on Autonomous and Adaptive Systems  
These can be continuous with no change in the hypernetwork topology, but often they are not. Controlling such systems involves taking actions intended to result in desirable state changes.  ...  A mathematical formalism is sketched for representing relational structure between agents. n-ary relations, n > 2, require hypernetworks, which generalize binary relation networks. n-ary relations on sets  ...  We are also grateful to our referees who made invaluable and original suggestions that will help us to take the work forward.  ... 
doi:10.1145/1242060.1242062 fatcat:5vfbxyr3qnctjkgzudxomtmnhe

A multilevel hypernetworks approach to assess coordination and communication in player interactions in sports teams as co-evolutionary networks

João Ribeiro, Júlio Garganta, Keith Davids, Daniel Barreira
2020 Brazilian Journal of Motor Behavior  
FINDINGS AND CONCLUSIONS: While the social network analysis generally considers only dyadic interactions (e.g., between two players), the hyper networks also take into account a multidimensional perspective  ...  We also evidenced that new studies using hyper network metrics are required in a range of team sports, mainly using data gathered from official competition matches.  ...  ., n players linked through spatial proximity). 10 Hypernetworks comprise a natural multidimensional generalisation of networks and support representation of simultaneous n-ary relations by simplices  ... 
doi:10.20338/bjmb.v14i5.216 fatcat:zw7crv75qzawdpuoxxbji4fu6y

Embracing n-ary Relations in Network Science [chapter]

Jeffrey H. Johnson
2016 Lecture Notes in Computer Science  
To these can be added hypernetworks which, like multiplex networks, allow many relations to be defined on the vertices.  ...  Graphs, hypergraphs, networks, simplicial complex, multiplex network and hypernetworks form a coherent whole from which, for any particular application, the scientist can select the most suitable.  ...  Introduction Given the success of graph and network theory since computers became available to scientists in the nineteen sixties, it is remarkable that the majority of the research done in network science  ... 
doi:10.1007/978-3-319-28361-6_12 fatcat:75j7rcagzrgbtniqrxesxie45a

The science of complexity and the role of mathematics

T. Bountis, J. Johnson, A. Provata, G. Tsironis
2016 The European Physical Journal Special Topics  
Its rapid advancement over the last 30 years has led to remarkable new concepts, methods and techniques, whose applications to complex systems of the physical, biological and social sciences has produced  ...  In the middle of the second decade of the 21st century, Complexity Science has reached a turning point.  ...  Johnson entitled "Hypernetworks: multidimensional relationships in multilevel systems".  ... 
doi:10.1140/epjst/e2016-02645-4 fatcat:pfjabccdtjdevbrvqrdjeantou

Models and Methods for Sparse (Hyper)Network Science in Business, Industry, and Government

Sinan G Aksoy, Aric Hagberg, Cliff A Joslyn, Bill Kay, Emilie Purvine, Stephen J Young
2022 Notices of the American Mathematical Society  
We hope to generate interest from researchers in pure and applied mathematics and computer science.  ...  The authors are hosting an AMS sponsored Mathematics Research Community (MRC) focusing on two themes that have garnered intense attention in network models of complex relational data: (1) how to faithfully  ...  Accordingly, modern graph theory has evolved to engage methods from probability, topology, linear algebra, mathematical logic, computer science, and more.  ... 
doi:10.1090/noti2424 fatcat:hnu5w6rojraudjkchhm4k5cdrq

Exact Topological Inference for Paired Brain Networks via Persistent Homology [chapter]

Moo K. Chung, Victoria Villalta-Gil, Hyekyoung Lee, Paul J. Rathouz, Benjamin B. Lahey, David H. Zald
2017 Lecture Notes in Computer Science  
As illustrations, we apply the method to simulated networks and a twin fMRI study.  ...  The proposed method computes the exact probability in quadratic time while the permutation tests require exponential time.  ...  We wish to thank anonymous reviewers for valuable comments that improved the revision.  ... 
doi:10.1007/978-3-319-59050-9_24 pmid:29075089 pmcid:PMC5654491 fatcat:hzfj37axmnhozaks4demojhwei

Exact Topological Inference For Paired Brain Networks Via Persistent Homology [article]

Moo K. Chung, Victoria Villalta-Gil, Hyekyoung Lee, Paul J. Rathouz, Benjamin B. Lahey, David H. Zald
2017 bioRxiv   pre-print
As illustrations, we apply the method to simulated networks and a twin fMRI study.  ...  The proposed method computes the exact probability in quadratic time while the permutation tests require exponential time.  ...  We wish to thank anonymous reviewers for valuable comments that improved the revision.  ... 
doi:10.1101/140533 fatcat:i55uzwtrsvbxpbqn5oy7eooue4

Simulation Of Activity Stream Inside Energy Social Business Environment Using Assemblage Theory And Simplicial Complex Tool

Eddie Soulier, Philippe Calvez, Florie Bugeaud, Francis Rousseaux, Jacky Legrand
2012 Zenodo  
Social, mobility and information aggregation inside business environment need to converge to reach the next step of collaboration to enhance interaction and innovation.  ...  Its objective is to offer new central attention and decision-making tools to end-users.  ...  The structural description of linkage among components may be tackle with a simplicial complex (Legrand, [14] ) and hypernetworks [11] , which helps us to explore the multidimensionality of every components  ... 
doi:10.5281/zenodo.1329990 fatcat:h4muyvkbk5c7bjqu35lmgqdkty

Non-uniform Evolving Hypergraphs and Weighted Evolving Hypergraphs

Jin-Li Guo, Xin-Yun Zhu, Qi Suo, Jeffrey Forrest
2016 Scientific Reports  
Since late 20th century, studies of complex networks have been undertaken in many disciplines, including mathematics, physics, computer science, biology, social science, and economics.  ...  A complex network is a graph with non-trivial topological features that do not occur in simple graphs such as lattices or random graphs but often occur in modelling real-life systems.  ...  The authors are grateful to the anonymous referees for their helpful comments that improved this paper.  ... 
doi:10.1038/srep36648 pmid:27845334 pmcid:PMC5109229 fatcat:j6d2tkcs7bholaqczjpsfxp7xq

Revealing networks from dynamics: an introduction

Marc Timme, Jose Casadiego
2014 Journal of Physics A: Mathematical and Theoretical  
What can we learn from the collective dynamics of a complex network about its interaction topology?  ...  Potential applications range from interaction networks in physics, to chemical and metabolic reactions, protein and gene regulatory networks as well as neural circuits in biology and electric power grids  ...  Is it possible to infer network topology from driving-response experiments also for oscillator networks?  ... 
doi:10.1088/1751-8113/47/34/343001 fatcat:26way6eppzboxp6oohegtx43au

The Application of Visual Analytics to Financial Stability Monitoring

Mark D. Flood, Victoria L. Lemieux, Margaret Varga, B. L. William Wong
2014 Social Science Research Network  
The Complete Fedwire Network Filtering the Top 75 Percent of the Network (Soramäki, et al., 2007) (Soramäki, et al., 2007) Topology of the Interbank Payments Network AFigure 4 : 4 Hierarchy of Hyper-networks  ...  Alternatively, complex networks can be abstracted by aggregating nodes and links with similar properties into "hypernodes" and "hyperlinks" to generate hierarchies of hypernetworks.  ... 
doi:10.2139/ssrn.2438194 fatcat:ibzyoupmsbgqje6iardtibdgia
« Previous Showing results 1 — 15 out of 34 results