Filters








286,040 Hits in 3.8 sec

Symmetry-based structure entropy of complex networks

Yang-Hua Xiao, Wen-Tao Wu, Hui Wang, Momiao Xiong, Wei Wang
2008 Physica A: Statistical Mechanics and its Applications  
under the measurement of degree based entropies; and that structural heterogeneity is strongly negatively correlated to symmetry of real networks.  ...  We also summarized symmetry and heterogeneity statistics of many real networks, finding that real networks are indeed more heterogenous in the view of automorphism partition than what have been depicted  ...  Symmetry-based structure entropy A graph or network is denoted as G = G(V, E), where V is the set of vertices and E ⊆ V × V is the set of edges.  ... 
doi:10.1016/j.physa.2008.01.027 fatcat:hz5kjvon3nh3hcaphmdye2ubmu

The Use of a Game Theory Model to Explore the Emergence of Core/Periphery Structure in Networks and Its Symmetry

Ladislav Beranek, Radim Remes
2021 Symmetry  
Symmetry can relate to network topology, network relationships, and other processes on networks.  ...  of a core-periphery structure in networks rather than the player's strategy in PD.  ...  We use the approximative local vertex symmetry measure to characterize network symmetry, defined in [84] : Figure 7a shows that a cluster of nodes is formed in the network, structurally and functionally  ... 
doi:10.3390/sym13071214 fatcat:qr2ngmeltnalxkt3hxfjwqxo2m

Topological Properties of Tensor Network States From Their Local Gauge and Local Symmetry Structures [article]

Brian Swingle, Xiao-Gang Wen
2010 arXiv   pre-print
The d-dimensional gauge structure and d-dimensional symmetry structure allow us to calculate the string operators and d-brane operators of the tensor network state.  ...  , we study the d-dimensional gauge structure and the d-dimensional symmetry structure of a tensor network state, where d≤ d_space with d_space the dimension of space.  ...  [37] We will introduce the local gauge and local symmetry structures of a TNS from the tensors in the TNS.  ... 
arXiv:1001.4517v1 fatcat:xp5d22sls5gnvaj6yq552wyol4

DeepSymmetry : Using 3D convolutional networks for identification of tandem repeats and internal symmetries in protein structures [article]

Guillaume Pagès
2018 arXiv   pre-print
Results: We present DeepSymmetry, a versatile method based on three-dimensional (3D) convolutional networks that detects structural repetitions in proteins and their density maps.  ...  Our method is designed to identify tandem repeat proteins, proteins with internal symmetries, symmetries in the raw density maps, their symmetry order, and also the corresponding symmetry axes.  ...  The authors also thankÉtienne Bamas fromÉcole Polytechnique, who was an trainee in our team, for his original ideas and developments in internal symmetry detection, François Rousse from Inria, Grenoble  ... 
arXiv:1810.12026v1 fatcat:vshfkfpv3nhybnydcnnnxhcnu4

DeepSymmetry: using 3D convolutional networks for identification of tandem repeats and internal symmetries in protein structures

2019 Bioinformatics  
We present DeepSymmetry, a versatile method based on 3D convolutional networks that detects structural repetitions in proteins and their density maps.  ...  A large portion of these structures contain structural repetitions or internal symmetries.  ...  The authors also thankÉtienne Bamas fromÉcole Polytechnique, who was an trainee in our team, for his original ideas and developments in internal symmetry detection, François Rousse from Inria, Grenoble  ... 
doi:10.1093/bioinformatics/btz454 pmid:31161198 fatcat:jvaavq2x5jb57c7dikxm65vq5u

Entity Linking via Symmetrical Attention-Based Neural Network and Entity Structural Features

Shengze Hu, Zhen Tan, Weixin Zeng, Bin Ge, Weidong Xiao
2019 Symmetry  
., context features, are leveraged to extract latent features, and the pivotal entity structural features are ignored.  ...  1) entity embeddings and mention context features; (2) mention embeddings and entity description features; furthermore, the context features, structural features, and entity ID feature are integrated to  ...  AIDA [5] , Kea [34] , WAT [35] , PBoH [32] , and DoSeR [20] were implemented on the English datasets; and CBWV [36] , MSCM [37] , MKCM [38] , and SCWE [39] were utilized to be compared with  ... 
doi:10.3390/sym11040453 fatcat:eoxl2mdbpreddcca6v2hmlzmpm

Network Structure and Influencing Factors of Agricultural Science and Technology Innovation Spatial Correlation Network—A Study Based on Data from 30 Provinces in China

Fulin Wang, Ling Wu, Fan Zhang
2020 Symmetry  
The spatial-temporal evolution trends, structural characteristics, and influencing factors of the network were analyzed from the three aspects of the overall, local, and individual network structure.  ...  The network had the distribution characteristics of 'core-edge' and strong stability, and the hierarchical structure of the members of each province in the network was gradually broken. c.  ...  Characteristic Indexes of the Network Structure For the characteristic indexes depicting the network structure, we used the social network analysis method to depict the spatial correlation network structure  ... 
doi:10.3390/sym12111773 fatcat:u5f6fogsmfeq7fgih7j3xr7xnq

Emergent Lorentz symmetry and the Unruh effect in a Lorentzian fermionic tensor network

Zhi Yang, Arpan Bhattacharyya, Long Cheng, Ling-Yan Hung, Sirui Ning
2019 Physical Review D  
With these definitions, we construct simple examples of Lorentzian tensor networks and solve the spectrum for a choice of "inertial frame" based on Gaussian models of fermions and integrable models.  ...  To define notions of reference frames and switching of reference frames on a tensor network, we will borrow ideas from the algebraic quantum field theory literature.  ...  We would like to thank Muxin Han, Ce Shen, Gabriel Wong and Jieqiang Wu for discussions and comments. We thank Chen-Te Ma for a critical and meticulous reading of our manuscript.  ... 
doi:10.1103/physrevd.99.086007 fatcat:55g4ihvcwrh6bjje736wkibihm

Structural manipulation of hydrogen-bonded networks – inclusion of metal centres and chromophores and response to loss of symmetry

A. D. Burrows, N. J. Burke, R. W. Harrington, M. F. Mahon, S. J. Teat
2004 Acta Crystallographica Section A Foundations of Crystallography  
s13.m42.o1 Structural manipulation of hydrogen-bonded networks -inclusion of metal centres and chromophores and response to loss of symmetry.  ...  In this presentation the inclusion of both metal centres and chromophores into GS networks is discussed.  ...  Cocrystal AB shows higher symmetry than the enantiomerically pure counterparts and a super space group of one of the components.  ... 
doi:10.1107/s0108767304097879 fatcat:6ytsssbsdbdtpkadktqobz6hpy

Prediction of the Structural Yield Strength of Saline Soil in Western Jilin Province, China: A Comparison of the Back-Propagation Neural Network and Support Vector Machine Models

Wei Peng, Qing Wang, Xudong Zhang, Xiaohui Sun, Yongchao Li, Yufeng Liu, Yuanyuan Kong
2020 Symmetry  
while maintaining symmetry in engineering costs.  ...  Its SYS is influenced by its cementation type, genetic characteristics, original rock structure, and environment.  ...  Figure 5 . 5 Back propagation neural network (BPNN) model structure designed in this study. Figure 5 . 5 Back propagation neural network (BPNN) model structure designed in this study.  ... 
doi:10.3390/sym12071163 fatcat:hk5jlxkaafbxblzdbd6zx6ysdi

Special structure, decentralization and symmetry for linear systems [chapter]

Michiel Hazewinkel, Clyde F. Martin
Mathematical Theory of Networks and Systems  
This note is concerned with recognizing and exploiting special structure and with the topic of answering (solving) various system and control problems such as stabilization by feedback and DDP, ... in  ...  The tool is the symmetry algebra of a linear system. This note only gives a short outline of the matrial presented in [5] . Related material is contained in[2] and [4].  ...  Roughly, extra special structure consists of two symmetry algebras R CR' such that F is an R-module endomorphism and G and R '-module homomorphism.  ... 
doi:10.1007/bfb0031073 fatcat:3mfcth6igjbmhpvavfmpsus2fy

Effects of symmetry on the structural controllability of neural networks: A perspective

Andrew J. Whalen, Sean N. Brennan, Timothy D. Sauer, Steven J. Schiff
2016 2016 American Control Conference (ACC)  
In systems or networks with structural symmetries, group representation theory provides the mechanisms for how the symmetry contained in a network will influence its controllability, and thus affects the  ...  Structural controllability develops the canonical coupling structures in a network that lead to uncontrollability, but does not account for the effects of explicit symmetries contained in a network.  ...  Acknowledgments This work was supported by grants from the National Academies -Keck Futures Initiative, NSF grant DMS 1216568, Collaborative Research in Computational Neuroscience NIH grant 1R01EB014641, and  ... 
doi:10.1109/acc.2016.7526576 pmid:29176923 pmcid:PMC5699861 dblp:conf/amcc/WhalenBSS16 fatcat:3y6tag4apvgvheodckpauqvr2m

The Influence of a Network's Spatial Symmetry, Topological Dimension, and Density on Its Percolation Threshold

Dmitry O. Zhukov, Elena G. Andrianova, Sergey A. Lesko
2019 Symmetry  
At the same network density, the percolation threshold value is less for 3D than for 2D networks, whatever their structure and symmetry may be.  ...  The results presented in this paper regarding conductivity simulation in network structures show that, for regular and random 2D and 3D networks, an increase in the number of links (density) per node reduces  ...  D and 3D Networks with Regular Structures 2D Network 3.12 2 (shape f in Figure 2 ). Group of symmetry elements contains: sixth-order symmetry axis and six symmetry planes.  ... 
doi:10.3390/sym11070920 fatcat:7ztyfjxamraiphoevwv2gg7cje

Symmetry in world trade network

Hui Wang, Guangle Yan, Yanghua Xiao
2009 Journal of Systems Science and Complexity  
Finally, utilizing the local symmetry of the network, the authors work out the quotient of WTN, which is the structural skeleton dominating stability and evolution of WTN.  ...  the stability of the WTN and that continuous symmetry-breakings will generate complexity and diversity of the trade network.  ...  Conclusions We have constructed the world trade network and investigated the size and structure of its automorphism group.  ... 
doi:10.1007/s11424-009-9163-9 fatcat:vf6ljjrrbncb3dregu6rnijzui

Symmetry of Metabolic Network

Hua Dong
2008 Journal of computer science and systems biology  
random compound pairs in network, which suggests that symmetry in the metabolic network can generate the functional redundancy, increase the robustness and play an important role in network structure,  ...  We obtained all the orbits in networks which are defined as structurally equivalent nodes and found that compound pairs in the same orbit show much more similarity in chemical structures and function than  ...  Thanks for Hoicheong Siu's help on network reconstruction from BioCyc dataset.  ... 
doi:10.4172/jcsb.1000001 fatcat:wafya2izarddlnqiycdxvlo7gy
« Previous Showing results 1 — 15 out of 286,040 results