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VERSE
~Versatile Graph Embeddings from Similarity Measures ~
WWW 2018
Anton Tsitsulin, Davide Mottin, Panagiotis Karras and Emmanuel Müller
M1
1.
2.
3.
4.
5.
1.
SNS
→
Etc.
(embedding)
Network Embedding
( )
Verse Network Embedding
“ ”
→ 3 2
“ ”
→More Versatile Similarity Notion
More Versatile Similarity Notion
Personalized Pagerank, SimRank,
adjacency similarity
→
d: emdedding , m: , n:
t: iteration , s:
2.
Network Embedding
embedding
embedding
embedding
3
(SVD, t-SNE)
HOPE(2016)
(SVD)
But
Random walk
Deep Walk(204)
word2vec skipgram
node2vec(2016)
Deep Walk
→
But
SDNE(2016)
embedding
But
CNN
global
VERSE
Local : (E,V) matrix
Scalable: 106 1
Nonlinear:
Global:
Versatile :
3.
VERSE
( ) G simG(∈N N )
( ) Embedding W(∈N d ) N(0,d-1)
( ) W simE (∈N N)
( ) simG simE KL-divergence
( ) (3),(4)
(4) KL-divergence
Noise Constractive Estimation(NCE).
G (simG)
Personalized Pagerank
Adjacency Similarity
SimRank
Personalized Pagerank
s
α
πs: A :
v πs simG(v, )
W
Embedding u(Wu), v(Wv)
Wu Wv
T
Softmax u
exp(%& ' %()
∑+,-
.
exp(%& ' %+)
simE(v, )
KL-divergence
“ ”
Embedding KL-divergence
→ embedding
simG
→L
4.
Graph reconstruction
VERSE PPR
Embedding d 128
10
1 0
50%
1% ~ 9%
Macro-F1
Kmeans++
K 2~50 k
Modularity
Graph reconstruction
Embedding
Cosine
– -
CoAuther
VK
Hadamard
Node2vec
- -
→ VERSE Node2vec
VERSE Louvain
Graph reconstruction
VERSE
HS VERSE
5.
embedding
→

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