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FRIENDSHIPS
RIVALRIES
TRYSTS
Chenhao Tan
Dallas Card (CMU), Noah Smith (UW)
1
RELATIONS
2
pro-choice pro-life
rivals
undocumented
immigrants
illegal alienrivals
small
government
free market
friends
word
alignment
machine
translation
friends
Chong and Druckman, 2007; Dawkins 1976; Entman, 1993;
Gitlin, 1980; Lakoff, 2014; Milton 1964
3
undocumented
immigrants
illegal
alien
rivals
small
government
free
market
friends
First quantitative framework to systematically
describe relations between ideas
Demonstrate effective explorations with this
framework on a wide range of datasets
• Topics as ideas
• Keywords as ideas
4
Our focus is on
relations between ideas.
We will use standard approaches
• Topics from latent Dirichlet
allocation (Blei et al. 2003)
• Keywords (Monroe et al.
2008)
Hall et al. 2008
Culturomics, Michel et al. 2011
QUANTITATIVELY
• Given a corpus of documents over time,
each document consists of a set of ideas
5
Cooccurrence
Pointwise mutual information
[Church and Hanks 1990]
Rarely cooccur
undocumented
immigrants
illegal alienrivals
• Given a corpus of documents over time,
each document consists of a set of ideas
– Cooccurrence does not capture which is
winning or losing
6
Pearson correlation
QUANTITATIVELY
frequency
time
undocumented
immigrants
illegal alien
• Given a corpus of documents over time,
each document consists of a set of ideas
7
QUANTITATIVELY
Cooccurrence Prevalence
correlation
Within-
document
Across-
document
&
RARELY COOCCUR
8
1980 1990 2000 2010
immigrant,
undocumented
illegal, alien
9Rarely cooccur
Always cooccur
CorrelatedAnti-correlated
Friendship
Arms-race
Tryst
Head-to-head
10Rarely cooccur
Always cooccur
CorrelatedAnti-correlated
Friendship
Arms-race
Tryst
Head-to-head
Friendship
11
1980 1990 2000 2010
immigrant,
undocumented
obama, president
LIKELY TO COOCCUR
12Rarely cooccur
Always cooccur
CorrelatedAnti-correlated
Friendship
Arms-race
Tryst
Head-to-head
13Rarely cooccur
Always cooccur
CorrelatedAnti-correlated
Friendship
Arms-race
Tryst
Head-to-head Arms-race
RARELY COOCCUR
14
1980 1990 2000 2010
immigration, deportation
republican, party
15Rarely cooccur
Always cooccur
CorrelatedAnti-correlated
Friendship
Arms-race
Tryst
Head-to-head
16Rarely cooccur
Always cooccur
CorrelatedAnti-correlated
Friendship
Arms-race
Tryst
Head-to-head Arms-race
Tryst
LIKELY TO COOCCUR
17
1980 1990 2000 2010
immigration, deportation
detainee, detention
18
Rarely cooccur
Always cooccur
CorrelatedAnti-correlated
Friendship
Arms-race
Tryst
Head-to-head
We have shown a framework to quantitatively
describe relations between ideas.
Can we use them to effectively explore relations
between ideas?
• Newspapers and research articles as datasets
– Immigration
– Terrorism
– Same-sex marriage
– Abortion
– Tobacco
– ACL
– NIPS
19
20
-1.0 -0.5 0.0 0.5 1.0
prevalence correlation
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
cooccurrence
pearsonr = 0.55
Correlated, but many
pairs in all four quadrants!
21
Strength = |PMI| × |correlation|
Extreme pairs are
the interesting ones!
-1.0 -0.5 0.0 0.5 1.0
prevalence correlation
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
cooccurrence
pearsonr = 0.55
• Terrorism
– Keywords
– Topics
22
• Terrorism
– Keywords
– Topics
23
24
1980 1990 2000 2010
0
0.1
0.2
0.3
frequency
arab
islam
• Terrorism
– Keywords
– Topics
25
26
The relations between these topics are consistent with
structural balance theory: the enemy of an enemy is a friend
[Cartwright and Harary, 1956; Heider, 1946]
27
PMI Correlation Joint
Keywords arab islam 106 1,494 2
Topics
federal, state
afghanistan,
taliban
43 99 2
federal, state iran, lybia 36 56 2
Rank among all relations
The “interesting” pair is ranked much
higher according to our framework.
28
1980 1990 2000 2010
machine translation
sentiment analysis
Arms-race
1980 1990 2000 2010
machine translation
discourse (coherence)
Head-to-head
1980 1990 2000 2010
machine translation
rule,forest methods
Tryst
1980 1990 2000 2010
machine translation
word alignment
Friendship
Rarely cooccur
Always cooccur
CorrelatedAnti-correlated
29https://github.com/nwrush/Visualization
30
Thank you!
chenhao@chenhaot.com,
Twitter: @ChenhaoTan
Data & code:
https://chenhaot.com/papers/idea-relations.html
cooccurrence
prevalence
correlation
A quantitative way to describe
relations between ideas:
friendships, head-to-head,
arms-race, tryst
An effective framework to explore
temporal text corpora

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