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Affective Transitions!
Studying Affective Transitions
Experience Project mood status corpus
alive
sleepy
stressed
optimistic
bored
blah
cheerful
confused
amused
annoyed
anxious
hopeful
lonely
tired
sad
excited
depressed
calm
horny
happy
25323
26316
26777
28569
28643
29119
29235
29850
31609
33220
34998
37504
51590
52097
52975
63035
65614
76344
77209
89344
Moods Corpus
2 million posts
Emotion Transitions
log-scaleCTP(a,b)
bewildered
artistic
curious
bouncy
chill
distressed
disappointed
excited
bewildered
crushed
chill
chipper
lazy
bitchy
bored
chipper
blissful
bouncy
energetic
flirty
numb
lonely
devastated
angry
melancholy
loved
amazing
good
excited
amazed
amused anxious blah cheerful depressed happy
0.03
0.04
0.06
0.1
Emotion Transitions
Worried
Hopeful
Blessed
Social Forces!
Studying Social Forces
Review Ratings
Rating
Reviews
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
0.3K
1.3K
2.5K
3.3K
4.8K
7.9K
negative
(18% of reviews)
positive
(25% of reviews)
neutral
(58% of reviews)
2.9 million reviews
Review Sequence Transitions
negative
neutral
positive
positive neutral negative
0.07
0.21
0.51
0.4
0.67
0.44
0.53
0.12
0.04
(a) All product sequences
negative
neutral
positive
positive neutral negative
0.27
0.27
0.27
0.56
0.56
0.56
0.17
0.17
0.17
negative
neutral
positive
positive neutral negative
0.05
0.11
0.35
0.3
0.6
0.47
0.66
0.28
0.18
Review Sequence Transitions
negative
neutral
positive
positive neutral negative
0.07
0.21
0.51
0.4
0.67
0.44
0.53
0.12
0.04
(a) All product sequences
 (b) High-variance sequences
 (c) Randomized sequences
Classification Experiments
Conditional Random Field (CRF) 
vs.
MaxEnt
In an hour from now…
I actually kind of liked it.
Bla bla …
sentiment …
bla bla bla …
networks …
Dude, that was even
more boring than his
gray shirt, eh?!
Yeah right. Great
talk… He didn’t even
talk about deep
learning.
Modeling person-to-person opinions:
The NLP approach
Bla bla …
sentiment …
bla bla bla …
networks …
Dude, that was even
more boring than his
gray shirt, eh?!
I actually kind of liked it.
Yeah right. Great
talk… He didn’t even
talk about deep
learning.
Modeling person-to-person opinions:
The social-network–analysis approach
Social balance theory
“The enemy
of my enemy
is my friend”
“The enemy
of my friend
is my enemy”
“The friend
of my friend
is my friend”
Modeling person-to-person opinions:
A unified view
–
++
–
“The friend
of my enemy
is my enemy”
–
Yeah right.
Great talk… He
didn’t even talk
about deep
learning.
Social balance theory
Modeling person-to-person opinions:
A unified view
+
“The friend
of my friend
is my friend”
+
+
The talk was amazing!
I couldn’t attend
— I was stuck on
the Autobahn.
Social balance theory
Model
Represent social network as a signed graph:
G = (V, E, p, x)
}
fully
observed
partially
observed
x 2 {0, 1}|E|
p 2 [0, 1]|E|
text-based
sentiment
predictions
edge signs
0 = –
1 = +
Task: Infer unobserved portion of x
“Boring!”
v 2 V
e1 2 E
x1 = 0
p1 = 0.04
x4 = ?
p4 = 0.55
“Okay.”
We want to infer unobserved portion of such that we
1. agree with text-based sentiment predictions, i.e.,
2. get triangles in line with social theories
Trade-off:
Objective function
x
x ⇡ p
T
}
}
Cost for deviating
from text-based
sent. prediction
Cost of triangle type
xt 2 {0, 1}3
EDGE COST
TRIANGLE
COST
x⇤
= arg minx2{0,1}|E|
X
e2E
|xe pe| +
X
t2T
d(xt)
HL-MRF (Broecheler et al., 2010)
• Markov random field (MRF) with continuous variables
• Potentials are sums of hinge-loss terms of linear
functions of variables.
• Relaxed objective function equal to original
formulation when is binary, i.e., ,
• but interpolates over continuous domain .
• Objective function convex.
• Efficiently solvable.
Relaxation as hinge-loss Markov
random field (HL-MRF)
x 2 {0, 1}|E|
[0, 1]|E|
x
. .
x
Thank you!

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