STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For...
-
date post
19-Dec-2015 -
Category
Documents
-
view
212 -
download
0
Transcript of STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For...
![Page 1: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/1.jpg)
STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS
For CS790 Complex NetworkA Paper Presented by Bingdong Li
11/18/2009
![Page 2: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/2.jpg)
Credit
Mehler, Alexander(2008) 'STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS',Applied Artificial Intelligence,22:7,619 — 683
![Page 3: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/3.jpg)
Outline
• Objectives• Introduction• Wiki Graphs• Quantitative Network Analysis• Classification Examples• Conclusion
![Page 4: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/4.jpg)
Objectives
• Looking for a framework for representing and classifying large complex networks
• Focus on networks as a whole unit to be classified
![Page 5: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/5.jpg)
Outline
• Objectives• Introduction• Wiki Graphs• Quantitative Network Analysis• Classification Examples• Conclusion
![Page 6: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/6.jpg)
Introduction
• Through wiki graph considering its size, structure and complexity
![Page 7: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/7.jpg)
Introduction
• Agent(A), document(B), and word network(C)
![Page 8: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/8.jpg)
Introduction
• Network A, vertices denote agents whose collaborations span the edges.
• Network B, vertices denote pages whose hyperlinks span the edges of the graph.
• Network C, vertices denote words whose lexical associations
![Page 9: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/9.jpg)
Introduction
• Hypotheses about the tripartite networks– Network correlation hypothesis(NCH): agent,
document, and word networks correlate with respect to their small world property
– Network separability Hypothesis(NSH): social and linguistic networks can be reliably separated by means of their topological characteristics
![Page 10: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/10.jpg)
Introduction
Problems to solve– How to reliably segment and classify networks in
order to map their constituents and similarity distributions
– A efficient data structure for representing networks
![Page 11: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/11.jpg)
Introduction
• Building blocks– A graph model expressive enough to map
multilevel networks– A computational model of the similarities of
instance of this graph model together with a classification algorithm in terms of Quantitative Network Analysis (QNA)
– A model of the distribution of the kind of networking manifested by wikis
![Page 12: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/12.jpg)
Introduction
• Overall approach– Investigate the separability of various topological
features– Distinguish less informative from more informative
topological characteristics
![Page 13: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/13.jpg)
Outline
• Objectives• Introduction• Wiki Graphs• Quantitative Network Analysis• Classification Examples• Conclusion
![Page 14: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/14.jpg)
Wiki Graphs
• Construct the Wiki graphs– Agent, document and linguistic– Three reference points• Micro-level, page-internal structure• meso-level, correspond to websites as thematically and
functionally closed units of web-based communication• macro-level, topology of the corresponding wiki
document network as a whole
![Page 15: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/15.jpg)
Wiki Graphs
![Page 16: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/16.jpg)
Wiki Graphs
• New concepts– Generalized Tree(GT)– Labeled Typed Generalized Tree– Typed Graph(TG)– K-Partite Type Graph– Hypergraph– Realization of a Hypergraph– Directed graph induced by a directed hypergraph
![Page 17: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/17.jpg)
Wiki Graphs
![Page 18: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/18.jpg)
Wiki Graphs
• A typed hypergraph as a model of a wiki document network (a) and its realization(b)
![Page 19: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/19.jpg)
Wiki Graphs
• A multilevel graph stratified into three component graphs (edges between vertices of different component graphs are denoted by dashed lines)
![Page 20: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/20.jpg)
Outline
• Objectives• Introduction• Wiki Graphs• Quantitative Network Analysis• Classification Examples• Conclusion
![Page 21: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/21.jpg)
Quantitative Network Analysis
• Follows Quantitative Structure Analysis(QSA)– Segment the constituents of the target objects– Feature selection and validation– Feature aggregation and target object
representation
![Page 22: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/22.jpg)
Quantitative Network Analysis
• Mapping two input networks onto vectors of composite features as a prerequisite of validating their similiarity
![Page 23: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/23.jpg)
Quantitative Network Analysis
![Page 24: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/24.jpg)
Quantitative Network Analysis
• Algorithm1. for all F’ ε 2F do2. for X[F’] Λ Y[F’] do3. for all CMj ε {ClusteringMethodm|m ε M} do4. for all Sk ε SetOfParameterSettings(CMj) do5. ComputeF-MeasureValue(Z[F’],CMj,Sk),Z ε {X,Y}6. end for7. end for8. end for9. end for
![Page 25: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/25.jpg)
Outline
• Objectives• Introduction• Wiki Graphs• Quantitative Network Analysis• Classification Examples• Conclusion
![Page 26: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/26.jpg)
Classification Example – Wiki Corpus
• Ontological separability
![Page 27: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/27.jpg)
Classification Example – Wiki Corpus
• Functional separability
![Page 28: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/28.jpg)
Outline
• Objectives• Introduction• Wiki Graphs• Quantitative Network Analysis• Classification Examples• Conclusion
![Page 29: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/29.jpg)
Conclusion
• Presented a formal framework for representing, analyzing, and classifying complex networks on variant levels (here, linguistic networks on agent, document and lexico-grammatical units)
![Page 30: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/30.jpg)
Conclusion
• The correlation of small world topologies on the level of social and textual network
• The distinguishability of ontologically and functionally divergent networks
• An approach to structure-oriented machine learning in the area of large complex networks
![Page 31: STRUCTURAL SIMILARITIES OF COMPLEX NETWORKS: A COMPUTATIONAL MODEL BY EXAMPLE OF WIKI GRAPHS For CS790 Complex Network A Paper Presented by Bingdong Li.](https://reader030.fdocuments.in/reader030/viewer/2022032800/56649d2e5503460f94a06416/html5/thumbnails/31.jpg)
Discussion