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Dynamics of real-world networks

Dynamics of Real-world Networks

author: Jure Leskovec, Carnegie Mellon University

Description

In our recent work we found interesting and unintuitive patterns for time evolving networks, which change some of the basic assumptions that were made in the past. The main objective of observing the evolution patterns is to develop models that explain processes which govern the network evolution. Such models can then be fitted to real networks, and used to generate realistic graphs or give formal explanations about their properties. In addition, our work has a wide range of applications: we can spot anomalous graphs and outliers, design better graph sampling algorithms, forecast future graph structure and run simulations of network evolution.

Another important aspect of this research is the study of ``local'' patterns and structures of propagation in networks. We aim to identify building blocks of the networks and find the patterns of influence that these block have on information or virus propagation over the network. Our recent work included the study of the spread of influence in a large person-to-person product recommendation network and its effect on purchases. We also model the propagation of information on the blogosphere, and propose algorithms to efficiently find influential nodes in the network.

Further work will include three areas of research. We will continue investigating models for graph generation and evolution. Second, we will analyze large online communication networks and devise models on how user characteristics and geography relate to communication and network patterns. Third, we will extend the work on the propagation of influence in recommendation networks to blogs on the Web, studying how information spreads over the Web by finding influential blogs and analyzing their patterns of influence.

http://www.cs.cmu.edu/~jure/thesis

Thesis Committee:
Christos Faloutsos (Chair)
Avrim Blum
John Kleinberg (Cornell University)
John Lafferty

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Slides
0:00 - Dynamics of Real-world Networks - Answers
0:40 Committee members
0:51 Network dynamics
1:42 Large real world networks
2:19 Questions we ask
2:51 Our work: Network dynamics
3:11 Our work: Goals
3:42 Our work: Overview - Page 1
4:08 Our work: Overview - Page 2
4:18 Our work: Impact and applications
5:50 Outline - Page 1
6:32 Completed work: Overview - Page 1
6:49 Completed work: Overview - Page 2
7:00 G1 - Patterns: Densification
9:01 G1 - Patterns: Shrinking diameters
9:51 G2 - Models: Kronecker graphs
10:58 Idea: Recursive graph generation
11:56 Kronecker product: Graph - Page 1
12:33 Kronecker product: Graph - Page 2
13:13 Properties of Kronecker graphs
14:23 G3 - Predictions: The problem
15:11 Model estimation: approach
16:01 Model estimation: solution
17:23 Model estimation: experiments - Page 1
18:04 Model estimation: experiments - Page 2
18:30 Completed work: Overview
21:08 Information cascades
22:09 Cascades: Questions
22:49 Cascades in viral marketing
24:00 Product recommendation network
24:56 G1- Viral cascade shapes
25:46 G1- Viral cascade sizes
26:40 Does receiving more recommendations increase the likelihood of buying?
27:28 Cascades in the blogosphere
28:39 G1- Blog cascade shapes
29:19 G1- Blog cascade size
29:49 G2- Blog cascades: model
30:36 G3- Node selection for cascade detection
31:40 Node selection: algorithm
32:14 Outline - Page 2
32:32 Proposed work: Overview
33:12 Proposed work: Communication networks - Page 1
33:56 Proposed work: Communication networks - Page 2
34:41 Proposed work: Links & cascades
36:05 Proposed work: Kronecker graphs
37:06 Timeline
37:37 References
37:52 - Dynamics of Real-world Networks - Questions
39:42 - G1- Blog cascade shapes - Answers
50:16 - Kronecker product: Graph - Page 1 - Answers
58:00 - Proposed work: Kronecker graphs - Answers
67:59 - The model: Forest Fire Model - Answers
69:05 - Forest Fire Model 2 - Answers
69:20 - Properties of the Forest Fire - Answers
70:42 - Dynamics of Real-world Networks - Answers

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