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PhD Thesis Defense: Dynamics of large networks
Published on Oct 22, 2008137885 Views
A basic premise behind the study of large networks is that interaction leads to complex collective behavior. In our work we found very interesting and counterintuitive patterns for time evolving net
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Chapter list
Dynamics of large networks00:00
Web: Rich data00:59
Rich data: Networks02:08
Networks. What do we know?02:50
This thesis: Network dynamics03:46
This thesis. The structure (1)04:38
This thesis. The structure (2)05:17
Background: Network models05:20
Q1) Network evolution (1)06:49
Q1) Network evolution (2)07:52
Q2) Modeling edge attachment08:43
Setting: Edge-by-edge evolution10:06
Edge attachment degree bias11:25
But, edges also attach locally12:44
How to best close a triangle?14:20
Q3) Generating realistic graphs16:13
Q3) The model: Kronecker graphs17:32
Q5) Kronecker graphs: Estimation19:03
Estimation: Epinions (N=76k, E=510k)21:04
Thesis: The structure (1)21:58
Thesis: The structure (2)22:13
Part 2. Diffusion and Cascades22:14
Settting 1: Viral marketing23:24
Setting 2: Blogosphere24:19
Q4) What do cascades look like?25:17
Q5) Human adoption curves27:05
Q5) Adoption curve: Validation28:09
Q6) Cascade & outbreak detection28:52
Q6) The problem: Detecting cascades29:47
Two parts to the problem30:10
Optimization problem31:05
Solution: CELF Algorithm31:38
Problem structure: Submodularity32:11
Blogs: Information epidemics (1)33:17
Blogs: Information epidemics (2)34:18
CELF: Scalability34:47
Same problem: Water Network35:15
Water network: Results35:55
Thesis: The structure (3)36:31
Thesis: The structure (4)36:53
3 case studies on large data36:54
Q7) Planetary look on small-world37:34
Q8) Network community structure40:06
Example: Small network41:09
Example: Large network42:03
Q8) Suggested network structure (1)42:41
Q8) Suggested network structure (2)43:39
Q9) Web projections44:29
Q9) Web projections: Results45:36
Thesis: The structure (5)46:49
Future directions: Evolution47:05
Future directions: Diffusion48:31
What's next?49:33