60 4. CHALLENGING PROBLEMS OF FAKE NEWS DETECTION
4.1.3 A PROPAGATION-PATH MODELING APPROACH
                 
              
               
          
         
    user characteristics         
            

      A D fa
1
; a
2
; ; a
N
g    a
i
 
        d D jj  U D fu
1
; ; u
n
g    
          u
i
2 R
k
  
       P.a
i
/ D< ; .u
j
; t /; >  

.
u
j
; t /    u
j
    a
i
     
               
      P.a
i
; T / D< x
i
; t < T >
            
            
     
Source Tweet Retweet
User Vectors
Label
Hidden
ConcatenationPooling Pooling
S
R
u
1
u
2
. . . u
n
h
2
h
1
h
n
f
1
f
2
f
n
S
C
GRU GRU GRU CNN CNN CNN
          
Building Propagation Path
                 
     P.a
i
/    a
i
    
4.1. FAKE NEWS EARLY DETECTION 61
             
P.a
i
/              
             n 
 S.a
i
/ D< u
1
; ; u
n
>      n   P.a
i
/  P.a
i
/   
    n    S.a
i
/  P.a
i
/    n    
  P.a
i
/       S.a
i
/  n
Learning Path Representations
              
            
                
   h
t
   t       
          < h
1
; ; h
n
>    
s
R
D
1
n
P
n
tD1
h
t
       
            
  U
tWtCh1
D< u
t
; ; u
tCh1
>    t   
h   S.a
i
/         U
tWtCh1
   
c
t
c
t
D ReLU.W
f
U
tWtCh1
C b
f
/; 
 ReLU            b
f
  
  c
t
          c
t
 k 
  f
t
         < f
1
; ; f
nhC1
>
             s
C
D
1
n
P
nhC1
tD1
f
t
       
Predicting Fake News
            
          
a D Œs
R
; s
C

  a     q        
         
I
j
D ReLU.W
j
I
j 1
C b
j
/; 8j 2 Œ1; ; q
y D softmax.I
q
/;

 q       I
j
      j
th
  y   
         
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