4.2. WEAKLY SUPERVISED FAKE NEWS DETECTION 63
              
 F
           
              
            
  F 2 R
N d
    G     
    G            
           a
i
 a
j
 
                    
              
l
2
       K   
d.F
i
; F
j
/ D kF
i
F
j
k
2
: 
   G            
          N N   O
Belief Propagation
              
    G            G 
                
               
             
              
        
ŒI C ˛D c
0
Ob
h
D
h
; 

h
 b
h
       O       
 I      D     D
ii
D
P
j
O
ij
 D
ij
D 0 
i ¤ j
4.2.2 A TENSOR DECOMPOSITION UNSUPERVISED APPROACH
             
            
           
           
                
            
              
              
64 4. CHALLENGING PROBLEMS OF FAKE NEWS DETECTION
             
    
      A D fa
1
; a
2
; ; a
N
g    a
i
 
       d D jj       
           
            
              
         
X
A1
A1 A1 A2 A3 A3 C5 C5A2
A2 A3
B1 B2B3
C1C2 C3 C4C5
B4
0.8
0.7
0.6
0.5
0.8
0.7
0.6
0.5
n
1
n
2
n
3
n
4
n
5
n
6
n
7
n
8
n
9
0.8
0.7
0.6
0.5
0.8
0.7
0.6
0.5
Co-cluster
Rank = 4
Rank = 5
Rank = 3
Terms
Documents
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.
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.
.
.
.
.
.
Terms
           
           
    
Tensor Ensemble Co-Clustering
   X 2 R
N d d
   a     X 
             
      F      
               
          
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