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Graph Algorithms for Visualizing High Dimensional
Data
Abhinav Shankaranarayanan Venkataraman
Directed by : Prof. Ricard Gavalda and Prof. Marta Arias
Universitat Politecnica de Catalunya (UPC), Barcelona
27 June 2016
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 1 / 30
Outline
Outline
1 Introduction
2 Community Detection
3 Visualization Module
4 Overall system
5 Conclusion
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 2 / 30
Project Details
Project Research Group
This project is carried out within the LARCA research group at
UPC .
Researchers within LARCA have in the last two years began
collaborations with hospital and health agencies for the analysis of
electronic healthcare records [EHR].
In previous work within the group, they proposed to organize the
information in EHR in the form of graphs and hyper- graphs, which
can then be navigated by experts and mined with graph and
network theoretic tools.
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 3 / 30
Introduction Goals of the Project
Goal of the Project
1 To survey a few algorithms that aim in community finding keeping
in mind that the input is from the medical domain.
2 To choose an algorithms that benefit the purpose of organizing
graphs from medical domain and for the purpose of visualization.
3 To implement the algorithms and test the efficiency of the
algorithm using variety of graphs.
4 To build a Graphic User Interface (GUI) which enables
visualization of the raw input on a web browser by drawing graphs.
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 4 / 30
Introduction Planning And Budget
Planning and Budget
1 Planning:
Required knowledge acquisition
Paper Analysis
Design and Implementation
Testing I
Testing II
Report Writing
2 Economic budget: Hardware budget, Software Budget, Human
Resource Budget
3 Sustainability: Economically sustainable, Socially sustainable,
Environmentally sustainable
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 5 / 30
Introduction What is a Community?
What is Community?
Image Source: Fortunato, Santo and Barthelemy, Marc 2007
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 6 / 30
State-of-the-art in Community Detection
State-of-the-art in Community Detection
1 Communities are a part of the graph that have fewer ties with the
rest of the system.
2 A community should be densely connected, well separated from
the rest of the network and the members of the network should be
more similar among themselves than with the rest.
Exploring state of the art: [3]
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 7 / 30
Louvain Community Detection Algorithm Louvain Method
Louvain Algorithm [2]
Louvain algorithms is the state of the art community detection
Algorithm. Louvain algorithm attempts to maximize modularity.
Image Source: ”Fast unfolding of communities in large networks” [1]
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 8 / 30
Louvain Community Detection Algorithm Louvain Method
Mode of implementation
1 The implementation of the Algorithm is in Python. pyLouvain is
code that is freely available although considering the task
performed by the project it is tough to use pyLouvain directly.
Hence modifications were made to pyLouvain and some part of
the code was reused.
2 The input data structure was altered. The Input file is stored in a
matrix and its transpose is used to get the node set. This is used
to for a edge dictionary.
3 The first phase of pyLouvain is used as it is in the project and the
second phase has been modified in the manner that relabelling is
done.
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 9 / 30
Louvain Community Detection Algorithm Louvain Method
N until 2000 and Q=0.4, Scale-Free degree
distribution Experiments
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 10 / 30
Louvain Community Detection Algorithm Louvain Method
Experiments on Real World Graph
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 11 / 30
Louvain Community Detection Algorithm Louvain Method
Famous Graphs Experiments
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 12 / 30
Visualization Libraries
Visualization Libraries
Protovis.js D3.js Alchemy.js Gephi
JavaScript
JSON Object
Robust
Less Overhead
Table : Comparing Visualization methods
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 13 / 30
Visualization Libraries Alchemy.js
1 Alchemy needs three main units to form as an application namely:
alchemy.css, alchemy.js and data.
2 Five simple steps to connect the JSON object to draw the graph.
3 Tests:
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 14 / 30
Visualization Libraries Alchemy.js
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 15 / 30
Visualization Libraries Alchemy.js
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 16 / 30
Visualization Libraries Alchemy.js
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 17 / 30
Visualization Libraries Alchemy.js
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 18 / 30
Visualization Libraries Alchemy.js
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 19 / 30
Overall System
Web framework and Front-end
1 Angular.js was recommended by the main project, but too
complex for our requirement.
2 Django, Grok and Web.py were considered. Web.py was finally
chosen.
3 Bootstrap was used as the front-end framework. It was used for
the front-end contrasting with web.py which was used behind.
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 20 / 30
Overall System
How it works?
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 21 / 30
Overall System
How it works?
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 22 / 30
Overall System
How it works?
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 23 / 30
Overall System
How it works?
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 24 / 30
Overall System
How it works?
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 25 / 30
Conclusions
Conclusion
1 In the project we have surveyed a few algorithms that aim in
community finding keeping in mind that the input is taken from
health care domain.
2 Louvain Community detection algorithm was chosen for
community detection and for visualization. Alchemy.js were
selected after considering the input and a few state of the art
algorithms.
3 The algorithms and frameworks thus found were implemented and
tests were conducted for finding the efficiency of the algorithms.
4 A GUI implementing Web.py and Bootstrap was created
combining the visualization and the computation.
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 26 / 30
Conclusions
Challenges
There were quite a few challenges in the project. I was from a pure
theoretical background, so I had to learn all the following from scratch:
1 Python
2 JavaScript
3 WebFrame works - Django, web.py
4 Learning Alchemy.js and web.py
5 I had some experience in Linux, git and github
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 27 / 30
Conclusions Personal Learning
Personal Learning
1 Exploring and trying many softwares.
2 Data visualization and Algorithms
3 Building a web application
4 Python and JavaScript in Depth
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 28 / 30
References
List of References that were used
Vincent D Blondel, Jean-Loup Guillaume, Renaud Lambiotte, and
Etienne Lefebvre.
Fast unfolding of communities in large networks.
Journal of statistical mechanics: theory and experiment,
2008(10):P10008, 2008.
Santo Fortunato.
Community detection in graphs.
Physics reports, 486(3):75–174, 2010.
Stanislav Sobolevsky, Riccardo Campari, Alexander Belyi, and
Carlo Ratti.
General optimization technique for high-quality community
detection in complex networks.
Physical Review E, 90(1):012811, 2014.
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 29 / 30
Gracies
Thank you
Thank you for all those who supported me throughout the project.
It was a Great time at Barcelona working with Prof. Ricard and Prof.
Marta.
Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 30 / 30

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beamer-example (2)

  • 1. Graph Algorithms for Visualizing High Dimensional Data Abhinav Shankaranarayanan Venkataraman Directed by : Prof. Ricard Gavalda and Prof. Marta Arias Universitat Politecnica de Catalunya (UPC), Barcelona 27 June 2016 Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 1 / 30
  • 2. Outline Outline 1 Introduction 2 Community Detection 3 Visualization Module 4 Overall system 5 Conclusion Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 2 / 30
  • 3. Project Details Project Research Group This project is carried out within the LARCA research group at UPC . Researchers within LARCA have in the last two years began collaborations with hospital and health agencies for the analysis of electronic healthcare records [EHR]. In previous work within the group, they proposed to organize the information in EHR in the form of graphs and hyper- graphs, which can then be navigated by experts and mined with graph and network theoretic tools. Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 3 / 30
  • 4. Introduction Goals of the Project Goal of the Project 1 To survey a few algorithms that aim in community finding keeping in mind that the input is from the medical domain. 2 To choose an algorithms that benefit the purpose of organizing graphs from medical domain and for the purpose of visualization. 3 To implement the algorithms and test the efficiency of the algorithm using variety of graphs. 4 To build a Graphic User Interface (GUI) which enables visualization of the raw input on a web browser by drawing graphs. Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 4 / 30
  • 5. Introduction Planning And Budget Planning and Budget 1 Planning: Required knowledge acquisition Paper Analysis Design and Implementation Testing I Testing II Report Writing 2 Economic budget: Hardware budget, Software Budget, Human Resource Budget 3 Sustainability: Economically sustainable, Socially sustainable, Environmentally sustainable Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 5 / 30
  • 6. Introduction What is a Community? What is Community? Image Source: Fortunato, Santo and Barthelemy, Marc 2007 Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 6 / 30
  • 7. State-of-the-art in Community Detection State-of-the-art in Community Detection 1 Communities are a part of the graph that have fewer ties with the rest of the system. 2 A community should be densely connected, well separated from the rest of the network and the members of the network should be more similar among themselves than with the rest. Exploring state of the art: [3] Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 7 / 30
  • 8. Louvain Community Detection Algorithm Louvain Method Louvain Algorithm [2] Louvain algorithms is the state of the art community detection Algorithm. Louvain algorithm attempts to maximize modularity. Image Source: ”Fast unfolding of communities in large networks” [1] Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 8 / 30
  • 9. Louvain Community Detection Algorithm Louvain Method Mode of implementation 1 The implementation of the Algorithm is in Python. pyLouvain is code that is freely available although considering the task performed by the project it is tough to use pyLouvain directly. Hence modifications were made to pyLouvain and some part of the code was reused. 2 The input data structure was altered. The Input file is stored in a matrix and its transpose is used to get the node set. This is used to for a edge dictionary. 3 The first phase of pyLouvain is used as it is in the project and the second phase has been modified in the manner that relabelling is done. Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 9 / 30
  • 10. Louvain Community Detection Algorithm Louvain Method N until 2000 and Q=0.4, Scale-Free degree distribution Experiments Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 10 / 30
  • 11. Louvain Community Detection Algorithm Louvain Method Experiments on Real World Graph Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 11 / 30
  • 12. Louvain Community Detection Algorithm Louvain Method Famous Graphs Experiments Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 12 / 30
  • 13. Visualization Libraries Visualization Libraries Protovis.js D3.js Alchemy.js Gephi JavaScript JSON Object Robust Less Overhead Table : Comparing Visualization methods Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 13 / 30
  • 14. Visualization Libraries Alchemy.js 1 Alchemy needs three main units to form as an application namely: alchemy.css, alchemy.js and data. 2 Five simple steps to connect the JSON object to draw the graph. 3 Tests: Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 14 / 30
  • 15. Visualization Libraries Alchemy.js Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 15 / 30
  • 16. Visualization Libraries Alchemy.js Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 16 / 30
  • 17. Visualization Libraries Alchemy.js Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 17 / 30
  • 18. Visualization Libraries Alchemy.js Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 18 / 30
  • 19. Visualization Libraries Alchemy.js Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 19 / 30
  • 20. Overall System Web framework and Front-end 1 Angular.js was recommended by the main project, but too complex for our requirement. 2 Django, Grok and Web.py were considered. Web.py was finally chosen. 3 Bootstrap was used as the front-end framework. It was used for the front-end contrasting with web.py which was used behind. Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 20 / 30
  • 21. Overall System How it works? Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 21 / 30
  • 22. Overall System How it works? Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 22 / 30
  • 23. Overall System How it works? Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 23 / 30
  • 24. Overall System How it works? Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 24 / 30
  • 25. Overall System How it works? Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 25 / 30
  • 26. Conclusions Conclusion 1 In the project we have surveyed a few algorithms that aim in community finding keeping in mind that the input is taken from health care domain. 2 Louvain Community detection algorithm was chosen for community detection and for visualization. Alchemy.js were selected after considering the input and a few state of the art algorithms. 3 The algorithms and frameworks thus found were implemented and tests were conducted for finding the efficiency of the algorithms. 4 A GUI implementing Web.py and Bootstrap was created combining the visualization and the computation. Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 26 / 30
  • 27. Conclusions Challenges There were quite a few challenges in the project. I was from a pure theoretical background, so I had to learn all the following from scratch: 1 Python 2 JavaScript 3 WebFrame works - Django, web.py 4 Learning Alchemy.js and web.py 5 I had some experience in Linux, git and github Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 27 / 30
  • 28. Conclusions Personal Learning Personal Learning 1 Exploring and trying many softwares. 2 Data visualization and Algorithms 3 Building a web application 4 Python and JavaScript in Depth Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 28 / 30
  • 29. References List of References that were used Vincent D Blondel, Jean-Loup Guillaume, Renaud Lambiotte, and Etienne Lefebvre. Fast unfolding of communities in large networks. Journal of statistical mechanics: theory and experiment, 2008(10):P10008, 2008. Santo Fortunato. Community detection in graphs. Physics reports, 486(3):75–174, 2010. Stanislav Sobolevsky, Riccardo Campari, Alexander Belyi, and Carlo Ratti. General optimization technique for high-quality community detection in complex networks. Physical Review E, 90(1):012811, 2014. Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 29 / 30
  • 30. Gracies Thank you Thank you for all those who supported me throughout the project. It was a Great time at Barcelona working with Prof. Ricard and Prof. Marta. Abhinav S V (UPC Barcelona) Graph Viz. Project 27 June 2016 30 / 30