Public thesis defence: groups and reputation in social networks
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Transcript of Public thesis defence: groups and reputation in social networks
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Groups and Reputation in Social Networks
V.A. Traag
Promoteurs:Paul Van Dooren, Yurii Nesterov
Jury:François GlineurVincent BlondelMarco Saerens
Patrick De Leenheer
ICTEAMUniversité Catholique de Louvain
2 September 2013
Soutenance Publique
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Overview
Social Networks
1 2Community Detection Reputation & Negative Links
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Overview
Social Networks
1 2Community Detection Reputation & Negative Links
![Page 4: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/4.jpg)
Social networks
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Social networks
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Social networks
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Social networks
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Social networks
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Social networks
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Social networks
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Social networks
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Social networks
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Social networks
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Social networks
I did not analyse these
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Keep it simple
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Keep it simple
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Keep it simple
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Keep it simple
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Keep it simple
Node or Vertex
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Keep it simple
Link or Edge
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Keep it simple
Network or Graph
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Overview
Social Networks
1 2Community Detection Reputation & Negative Links
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Overview
Social Networks
1 2Community Detection Reputation & Negative Links
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What is a community?
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Community or Cluster
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What is a community?
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Community or Cluster
But is it a good community?
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What is a community?
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Community or Cluster
But is it a good community?
Count links in community
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What is a community?
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Community or Cluster
But is it a good community?
Count links in communitymc = 4
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What is a community?
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Community or Cluster
But is it a good community?
Count links in communitymc = 4
Possible links?
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What is a community?
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Community or Cluster
But is it a good community?
Count links in communitymc = 4
Possible links?(nc2
)= nc(nc−1)
2 = 4×32 = 6
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What is a community?
0
12
3
4
56
7
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Community or Cluster
But is it a good community?
Count links in communitymc = 4
Possible links?(nc2
)= nc(nc−1)
2 = 4×32 = 6
4 links in community,2 missing.
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What is a community?
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3
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56
7
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Community or Cluster
But is it a good community?
Count links in communitymc = 4
Possible links?(nc2
)= nc(nc−1)
2 = 4×32 = 6
4 links in community,2 missing.
Want many links, few missing
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What is a community?
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Bad community
Count links in communitymc = 5
Possible links?(nc2
)= nc(nc−1)
2 = 5×42 = 10
5 links in community,5 missing.
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What is a community?
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Are there better communities?
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Make money
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Get money for communities:
• get 1 − c for every edge in community,
• pay c for missing edge in community.
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Make money
0
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Get money for communities:
• get 1 − c for every edge in community,
• pay c for missing edge in community.
Suppose c = e0.50
4 edges, 2 missing:4 × 0.5 − 2 × 0.5 = e1.00
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Make money
0
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56
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Get money for communities:
• get 1 − c for every edge in community,
• pay c for missing edge in community.
Suppose c = e0.50
4 edges, 2 missing:4 × 0.5 − 2 × 0.5 = e1.00
2 edges, 1 missing:2 × 0.5 − 1 × 0.5 = e0.50
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Make money
0
12
3
4
56
7
8
9
10
11
Get money for communities:
• get 1 − c for every edge in community,
• pay c for missing edge in community.
Suppose c = e0.50
4 edges, 2 missing:4 × 0.5 − 2 × 0.5 = e1.00
2 edges, 1 missing:2 × 0.5 − 1 × 0.5 = e0.50
5 edges, 5 missing:5 × 0.5 − 5 × 0.5 = e0.00
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Make money
0
12
3
4
56
7
8
9
10
11
Get money for communities:
• get 1 − c for every edge in community,
• pay c for missing edge in community.
Suppose c = e0.50
4 edges, 2 missing:4 × 0.5 − 2 × 0.5 = e1.00
2 edges, 1 missing:2 × 0.5 − 1 × 0.5 = e0.50
5 edges, 5 missing:5 × 0.5 − 5 × 0.5 = e0.00
Total: e1.50
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Better communities
Initial communities: e1.50
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Better communities
Initial communities: e1.50
Move 0: get 2 × 0.5 = e1.00 extra
0
12
3
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56
7
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11
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Better communities
Initial communities: e1.50
Move 0: get 2 × 0.5 = e1.00 extra
Move 5: get 3 × 0.5 = e1.50 extra
0
12
3
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56
7
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11
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Better communities
Initial communities: e1.50
Move 0: get 2 × 0.5 = e1.00 extra
Move 5: get 3 × 0.5 = e1.50 extra
Move 11: get 1 × 0.5 = e0.50 extra
0
12
3
4
56
7
8
9
10
11
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Better communities
Initial communities: e1.50
Move 0: get 2 × 0.5 = e1.00 extra
Move 5: get 3 × 0.5 = e1.50 extra
Move 11: get 1 × 0.5 = e0.50 extra
0
12
3
4
56
7
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11
Final communities: e4.50
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Better communities
Initial communities: e1.50
Move 0: get 2 × 0.5 = e1.00 extra
Move 5: get 3 × 0.5 = e1.50 extra
Move 11: get 1 × 0.5 = e0.50 extra
0
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56
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11
Louvain Algorithm
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Real network
My own Facebook
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Real network
My own Facebook c = e0.–528 internal links
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Real network
My own Facebook c = e0.0002527 internal links
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Real network
My own Facebook c = e0.0025526 internal links
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Real network
My own Facebook c = e0.01511 internal links
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Real network
My own Facebook c = e0.10491 internal links
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Real network
My own Facebook c = e0.500 internal links
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Resolution limit
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Significance
Original partition (14 links)
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Significance
Original partition (14 links)
Random graph (5 links)
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Significance
Original partition (14 links)
Random graph (5 links) Find partition (11 links)
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Overview
Social Networks
1 2Community Detection Reputation & Negative Links
![Page 57: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/57.jpg)
Overview
Social Networks
1 2Community Detection Reputation & Negative Links
![Page 58: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/58.jpg)
Social Balance
+Leonard Sheldon
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Social Balance
+
+
Leonard Sheldon
Leslie
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Social Balance
+
+ −
Leonard Sheldon
Leslie
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Social Balance
+
−−
Leonard Sheldon
Leslie
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Social Balance
+
−−
Leonard Sheldon
LeslieThe enemy of my enemy is my friend
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Social Balance
+
−−
Leonard Sheldon
LeslieThe friend of my enemy is my enemy
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Social Balance
+
−−
Leonard Sheldon
LeslieThe friend of my enemy is my enemy
Socially balanced: +−− = +
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Balanced Triads
Balanced Triads
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Balanced Triads
Balanced Triads Unbalanced Triads
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Balanced Triads
Balanced TriadsTwo Factions
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Changing Triads
+
−−
Leonard Sheldon
Leslie
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Changing Triads
+
−−+
Leonard Sheldon
Leslie
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Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
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Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
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Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Sheldon likes Leonard +
![Page 73: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/73.jpg)
Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Sheldon likes Leonard +
Leonard likes Leslie +
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Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Sheldon likes Leonard +
Leonard likes Leslie +
Effect ++ = +
![Page 75: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/75.jpg)
Changing Triads
+
−+
−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Sheldon likes Leonard +
Leonard likes Leslie +
Effect ++ = +
t
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Changing Triads
+
−+
−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Sheldon likes Leonard +
Leonard likes Leslie +
Effect ++ = +
t
![Page 77: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/77.jpg)
Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Sheldon likes Leonard +
Leonard likes Leslie +
Effect ++ = +
Compare friends with Leslie
![Page 78: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/78.jpg)
Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Sheldon likes Leonard +
Leonard likes Leslie +
Effect ++ = +
Compare friends with Leslie
Sheldon likes Leonard +
![Page 79: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/79.jpg)
Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Sheldon likes Leonard +
Leonard likes Leslie +
Effect ++ = +
Compare friends with Leslie
Sheldon likes Leonard +
Leslie dislikes Leonard −
![Page 80: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/80.jpg)
Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Sheldon likes Leonard +
Leonard likes Leslie +
Effect ++ = +
Compare friends with Leslie
Sheldon likes Leonard +
Leslie dislikes Leonard −Effect +− = −
![Page 81: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/81.jpg)
Changing Triads
+
−−+
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Compare friends with Leslie
Sheldon likes Leonard +
Leslie dislikes Leonard −Effect +− = −
t
![Page 82: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/82.jpg)
Changing Triads
+
−−
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Compare friends with Leslie
Sheldon likes Leonard +
Leslie dislikes Leonard −Effect +− = −
t
![Page 83: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/83.jpg)
Changing Triads
+
−−
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Compare friends with Leslie
Sheldon likes Leonard +
Leslie dislikes Leonard −Effect +− = −
t
![Page 84: Public thesis defence: groups and reputation in social networks](https://reader033.fdocuments.net/reader033/viewer/2022060111/556220d1d8b42ad44d8b4bd9/html5/thumbnails/84.jpg)
Changing Triads
+
−−
Leonard Sheldon
LeslieSheldon’s relationship with Leslie changes
Ask Leonard what to do
Compare friends with Leslie
Does not converge tosocial balance
Does converge tosocial balance