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Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach
[article]
2021
arXiv
pre-print
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We provide a complete taxonomic characterization of robust hierarchical clustering methods for directed networks following an axiomatic approach. ...
Our main result is to leverage this generative model to give a precise characterization of all robust -- i.e., excisive, linear scale preserving, and stable -- hierarchical clustering methods for directed ...
The authors would like to thank Alejandro Ribeiro for his valuable technical input and his thoughtful comments on an earlier version of this manuscript. ...
arXiv:2108.07247v1
fatcat:njnr3n6xlnc57dshgpt7v2j2bm
Core-Periphery in Networks: An Axiomatic Approach
[article]
2014
arXiv
pre-print
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In particular, we show that a balance of powers between elite and periphery and an elite size that is sub-linear in the network size are universal properties of elites in social networks that satisfy our ...
Herein, we present a novel axiom-based model for the forces governing the mutual influences between the elite and the periphery. ...
In contrast, we propose an axiomatic approach to the questions at hand. ...
arXiv:1411.2242v1
fatcat:jwbuphtsavfijjookesldaeaju
Elites in social networks: An axiomatic approach to power balance and Price's square root law
2018
PLoS ONE
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We accompany these findings with an empirical study on 32 real-world social networks, which provides evidence that balanced edge-based partitions which satisfying our axioms commonly exist. ...
A common two-tier structure for social networks is based on partitioning society into two parts, referred to as the elite and the periphery, where the "elite" is the relatively small but well-connected ...
Employing an axiomatic approach instead of providing an evolutionary model has two main advantages for studying social and complex networks. ...
doi:10.1371/journal.pone.0205820
fatcat:fywtr6wreva3lnsg2mofkxkxzu
Evaluation of remedial countermeasures using the analytic network process
2006
Waste Management
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We introduced a hierarchical network (hiernet) decision structure and applied the Analytic Network Process (ANP) supermatrix approach to measure the relative desirability of the remedial alternatives using ...
The aim of this paper is to present an evaluation method to aid decision makers in the prioritization and selection of appropriate countermeasures at the planning stage of site remediation. ...
The model can be represented as a directed network (digraph). ...
doi:10.1016/j.wasman.2005.11.020
pmid:16412627
fatcat:hukj4sm6onc6zcwfm3xxrdjnbm
Defining and Evaluating Network Communities based on Ground-truth
[article]
2012
arXiv
pre-print
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For example, in social networks nodes explicitly join various interest based social groups. We use such groups to define a reliable and robust notion of ground-truth communities. ...
We choose 13 commonly used structural definitions of network communities and examine their sensitivity, robustness and performance in identifying the ground-truth. ...
We adopt the following axiomatic approach. ...
arXiv:1205.6233v3
fatcat:ixmqtvuhxbhyjc5lcwlqyvtele
Axiomatic Construction of Hierarchical Clustering in Asymmetric Networks
[article]
2014
arXiv
pre-print
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Allowing clustering in a two-node network to proceed at the minimum of the two dissimilarities generates an alternative axiomatic construction. There is a unique clustering method in this case too. ...
This paper considers networks where relationships between nodes are represented by directed dissimilarities. ...
An alternative approach for clustering nodes in graphs is the idea of spectral clustering [21] - [24] . ...
arXiv:1301.7724v2
fatcat:mfyoakowqvhs7g2kiru4kwjygy
Graph Metrics for Network Robustness—A Survey
2021
Mathematics
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In particular, modeling the structure of the Internet has inspired several novel graph metrics for assessing important topological robustness features of large complex networks. ...
Research on the robustness of networks, and in particular the Internet, has gained critical importance in recent decades because more and more individuals, societies and firms rely on this global network ...
axiomatic approach, only based on information contained in the Node Degree Distribution D(k) = P(k) • v. ...
doi:10.3390/math9080895
fatcat:c4n6duzywnenffrm6dxikojnwa
Complex networks in advanced manufacturing systems
2017
Journal of manufacturing systems
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It has provided an alternative approach to analyze AMSs. Many recent studies have focused on the theory of complex networks to describe and solve complicated manufacturing problems. ...
Based on a great number of relevant publications, this paper presents an up-to-date literature review with the identified outstanding research issues, future trends and directions. ...
Wang discusses the directed network system of supply chain networks for the product family [111] . ...
doi:10.1016/j.jmsy.2016.12.001
fatcat:jz5gmhlwpnc3dmhal3zbnuf7w4
A PRIORITIZATION METHOD USING HIERARCHICAL NETWORK MODEL FOR MULTI-CRITERIA EVALUATION OF REMEDIAL COUNTERMEASURES
2006
Doboku Gakkai Ronbunshuu G
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This paper proposes a prioritization method using hierarchical network model to capture the complexity in the multi-criteria evaluation of remedial countermeasures. ...
The proposed method which was built from the Analytic Network Process (ANP) uses the eigenvector approach to derive the local relative priorities and the overall relative priorities from the pairwise comparison ...
Fig.2a is an example of a digraph representation of the four interacting clusters in a three-level hierarchical network. ...
doi:10.2208/jscejg.62.308
fatcat:2r7ushgrvvc33h7xcx6c4bnxpe
Defining and evaluating network communities based on ground-truth
2013
Knowledge and Information Systems
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For example, in social networks nodes explicitly join various interest based social groups. We use such groups to define a reliable and robust notion of ground-truth communities. ...
We choose 13 commonly used structural definitions of network communities and examine their sensitivity, robustness and performance in identifying the ground-truth. ...
We adopt the following axiomatic approach. ...
doi:10.1007/s10115-013-0693-z
fatcat:c3y3mrlnhfdjjeo2qsckif6glq
Defining and evaluating network communities based on ground-truth
2012
Proceedings of the ACM SIGKDD Workshop on Mining Data Semantics - MDS '12
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For example, in social networks nodes explicitly join various interest based social groups. We use such groups to define a reliable and robust notion of ground-truth communities. ...
We choose 13 commonly used structural definitions of network communities and examine their sensitivity, robustness and performance in identifying the ground-truth. ...
We adopt the following axiomatic approach. ...
doi:10.1145/2350190.2350193
fatcat:jufzrmkhe5cg7e4urtzgldi4kq
Defining and Evaluating Network Communities Based on Ground-Truth
2012
2012 IEEE 12th International Conference on Data Mining
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For example, in social networks nodes explicitly join various interest based social groups. We use such groups to define a reliable and robust notion of ground-truth communities. ...
We choose 13 commonly used structural definitions of network communities and examine their sensitivity, robustness and performance in identifying the ground-truth. ...
We adopt the following axiomatic approach. ...
doi:10.1109/icdm.2012.138
dblp:conf/icdm/YangL12
fatcat:drtewcp5rrg5hm6xukvr4rddrm
Disrupting Terrorist Networks: A Dynamic Fitness Landscape Approach
[chapter]
2015
Understanding Complex Systems
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In order to better represent the asymmetric nature of the 1 Replacement of the interactivity parameter, K, with an adjacency matrix is meant to let us generalize the NK approach in the directions presently ...
The difficulty with this approach is that an important aspect of the dynamics of terrorist networks is that they are learning organizations (Hoffman, 1997; Tsvetovat and Carley, 2003) . ...
doi:10.1007/978-1-4939-1705-1_8
fatcat:keseftwoovcwtbbatcqsltf52a
Disrupting Terrorist Networks — A Dynamic Fitness Landscape Approach
[chapter]
2012
Unifying Themes in Complex Systems VII
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In order to better represent the asymmetric nature of the 1 Replacement of the interactivity parameter, K, with an adjacency matrix is meant to let us generalize the NK approach in the directions presently ...
The difficulty with this approach is that an important aspect of the dynamics of terrorist networks is that they are learning organizations (Hoffman, 1997; Tsvetovat and Carley, 2003) . ...
doi:10.1007/978-3-642-18003-3_9
fatcat:cu7jwc3yfrgkfgzrdbcrow2mru
Relating Bisimulations with Attractors in Boolean Network Models
[chapter]
2016
Lecture Notes in Computer Science
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When studying a biological regulatory network, it is usual to use boolean network models. In these models, boolean variables represent the behavior of each component of the biological system. ...
We also discuss the differences between using this approach and other well-known methodologies to study this kind of systems and we illustrate it with some examples. ...
In [3] , this system is studied with a asynchronous boolean network and the attractors of the resulting network are found and it is studied the robustness of this model. ...
doi:10.1007/978-3-319-38827-4_2
fatcat:b6nrbrh6jffwxmzwepznolvznu
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